B.1 THE OCCURRENCE OF ANOSTRACANS VERNAL POOLS OF BAHRAIN – FAIRY SHRIMPS Brachipus schaefferi IN Hashim Al-Sayed, Khadija Zainal* Department of Biology, College of Science, University of Bahrain, Isa Town Campus, P.O.Box 32038, Isa Town, The Kingdom of Bahrain Journal of Arid Environments 61, 447-460 (2005) Abstract The occurrence of a native species of fairy shrimp (Anostraca) in the Kingdom of Bahrain is documented for the first time. The appearance of adults depends on rainfall events which are rare. These organisms survive by producing dormant cysts that survive the dry period between rainfall events. The size of the population differences between sexes, life cycle duration, tolerance to the fast retreating vernal pools and survival under the laboratory conditions are discussed. Multi-modal population density indicated two peak hatching events. Daily size frequency distribution revealed the occurrence of smaller sized individuals throughout the adult activity period. From 1995 and 2001 salinity level in one pool increased. This may affect the vegetation of this area. B.2 BACTERIAL COMMUNITY AND SOME PHYSICO-CHEMICAL CHARACTERISTICS IN A SUBTROPICAL MANGROVE ENVIRONMENT IN BAHRAIN Hasim A. Al-Sayed*, Essam H. Ghanem, Kareema M. Saleh Department of Biology, College of Science, University of Bahrain, P.O.Box 32038, Isa Town, of Bahrain Marine Pollution Bulletin 50, 147-155(2005) Abstract A study of bacterial communities and some physico-chemical parameters of a subtropical mangrove habitat in the Arabian Gulf (Bahrain) was carried out in 19931994. Six stations at different parts of the tidal channel were selected for sampling. The mangrove habitat was found to harbor diverse bacterial communities, included among them anoxygenic phototrophs (AP), oxygenic phototrops (OP), organotrophs (OT), total coliforms (TC), faecal coliforms (FC) and haloalkaliphiles (HA). Spatial and temporal variations in bacterial communities and environmental parameters were found. Each of the OT, AP, TC and FC were dominant in the inner most stations (S1 & S2) and gradually decreased seaward. The HA community on the other hand, was dominant at the seaward stations (S5 & S6) and was most likely to have originated from the sea through the tidal flows. Both AP and OT were considered as part of the mangrove native flora, whereas TC and FC were alien and believed to have been introduced through partially treated sewage released at the upstream of the tidal channel. Closely monitoring of the mangrove water revealed succession pattern in bacterial communities. The AP community was predominant from November 1993 to March 1994, succeeded by dominance of OP from june 1994 to October 1994. Both bacterial blooms gave water a pinkish, purple, or green color, respectively. Although OT prevailed during Transitional period between AP and OP eutrophication, it remained comparatively constant (not less than 2 x 105 cfu/ml) through other periods. Frequent eutrophication phenomena of OP, which took place in summer and autumn, coincided with increases in water temperature, chorophyll a, 1 and nutrients (NO 3 and PO 4 ). On the other hand, OT and AP were negatively correlated with temperature, salinity and chorophyll a, but no specific pattern was observed in relation to NO 3 and PO 4 . In comparison with seawater, nutrients such as NO 3 and PO 4 were consistently higher in the mangrove habitat. Partially treated sewage and farm drainage canals are proposed to form additional sources of nutrients. Although, the mangrove habitat has been demonstrated to possess self-cleaning properties, data obtained suggest that anthropogenic pollution has a deleterious effect. B.3 QUANTITY AND COMPOSITION OF SOLID WASTE THE KINGDOM OF BAHRAIN, ARABIAN GULF AT THE BOTTOM OF THE K. Zainal, I. AL-Madany and W. Zainal The University of Bahrain, P.O.Box 32038, State of Bahrain 4th International Conference on Marine Pollution Ecotoxicology, 1-5 June 2004, Hong-Kong, O-92 SEA IN and Abstract The main objective of this investigation was to identify the type and quantity of heavy solid waste at the bottom of the sea and removal of this waste was attempted wherever possible. The locations of lost fishing gear were also identified. A total of 35 areas at the bottom of the sea were selected for the study according to their importance to the fisherman and as pearl beds. Each area was subdivided into several stations. The study was conducted during June 2001 to November 2001 and from July 2002 to February 2003. A large amount of solid wastes (1,472 kg) were retrived from the bottom of the sea. Forty different types of solid items were collected from the sea bottom wheras only 36 different items were found along the shores (part two of the study). Plastic waste comes at the top of the list of all other solid debris, mainly fishing nets and gears. This fact highlighted the impact of fishermen on the sea and the need for raising their awareness to this problem. Wooden debris composed of only 2% of the total waste. This was attributed to the floatation properties of these materials. Compared to other areas, larger amount of debris was found accumulated in the fishing areas. Larger amount of solid debris also accumulated along the eastern and northern sides of the main island compared to the west and the southern sides. This has been correlated with higher human activites along east and north coasts. The waste include shipwrecks, cars, pipes, iron bars, oil exploration platforms and fuel tanks etc. These are mainly related to the major economic activities in the Kingdom of Bahrain. The present investigation finding is similar to many other studies carried out elsewhere in the world in the following points: High plastic content of waste composition The source of most plastic pollution belonged to the fishing activities. Higher percentage of wooden debris along the shores Non-degradable solid wastes such as plastics affect negatively the water quality and both marine habitat and organisms. Buoys were installed at sensitive areas such as coral reef sites with the hope of protecting these delicate habitats from further destructions. In Bahrain, so far, most research studies have been targeting solid wates generated from domestic and commercial sources on land. No previous work has been conducted for the marine benthic environment. This study has filled a gap in our 2 understanding of solid wastes on the bottom of the sea in the territorial waters of the Kingdom of Bahrain and provided valuable information to decision makers for an appropriate management and protection of the marine habitat. 3 C.1 BENZO[a] PYRENE CONCENTRATIONS IN TOPSOILS OF NORTH BAHRAIN Ameera Al Haddad Department of Chemistry, University of Bahrain, Bahrain Toxicological & Environmental Chemistry, 0,(0):1-7, 2005 Abstract A comprehensive field study was conducted to determine the background concentrations of benzo[a]pyrene (B[a]P) in soil samples collected at different points on a grid covering most of the northern and middle parts of the Kingdom of Bahrain. The average B[a]P concentration was 108.4 ngg-1 in winter and 73.0 ngg-1 in summer. The capital city, Manama, and the industrial areas of the country showed the highest levels of B[a]P. C.2 INORGANIC CHEMICAL COMPOSITION OF AEROSOLS SETTLING BAHRAIN FOLLOWING DUST HAZE STORMS IN HAMAD TOWN, Ahmed Y. Ali-Mohamed Department of Chemistry, College of Science, University of Bahrain, P.O.Box 32038, Isa Town, Bahrain Intern. J. Environ. Studies, 61(2), 161-171, April (2004) Abstract The inorganic chemical composition of settling particles from 10 dust storms in Hamad Town, Bahrain has been determined. These storms occurred over a 3-year period. Meteorological conditions during the storms were examined and the storms classified, according to their trajectories, into two types: (a ) a low pressure system from the Mediterranean, which traveled east into the Gulf and caused periods of disturbed weather and causing of northwesterly winds; and (b) a low pressure over Pakistan causing dry north-westerly wind, known locally as Al-Barah. After this period, the low pressure system declined allowing the formation of south-easterly winds known as the Kaus. The composition of the dust storms is montonic. The settling particles are relatively enriched in Ca2+, K+, and SO 24 derived from local soil, and Cl- from the sea. C.3 MINERAL ION CONTENT OF PALM (Phoenix dactylifera) THE SEEDS OF SIX CULTIVARS OF BAHRAINI DATE Ahmed Y. Ali-Mohamed* and Ahmed S. H. Khamis Department of Chemistry, College of Science, University of Bahrain, P.O.Box 32038, Isa Town, Bahrain J. Agric. Food CHEM. 52, 6522-6525(2004) Abstract The mineral ion composition of six different cultivars of Bahraini dates palm (Phoenix dactylifera) seeds (Khálas, Murzban, Khunaizi, Khawajah, Khasaib Asfor, and Khaseeb) were analyzed using flame atomic absorption spectroscopy (AA and ICPS). Murzban was found to contain the higher mineral ion content. The essential bulk metal ions in the six cultivars were found to be dominant, where [K+] was the 4 highest and [Ca2+] was the lowest. The decreasing order of essential trace metal ion concentrations is Fe2+ > Mn2+ > Zn2+. Lead ion content was found to be higher than cadium ion as metal ion pollutant. Mineral ion contents of Bahraini date palm seeds and those of imported coffee grain and barley were studied, because date palm seeds, coffee grain, and barley are used for coffee drinks. C.4 SOLID STATE IMPOSED VIBRATIONAL COUPLING BETWEEN TETRADHEDRAL IONS 1 AND 3 MODE OF Osama Abdulla Aljowder* Department of Chemistry, College of Science, University of Bahrain, Isa Town, Bahrain Spectrochimica Acta Part A: 60, 2837-2841(2004). Abstract Raman spectra of the thiomolybdate ion in the compounds [CuNH4]MoS4] and X2[MoS4], where X = NH 4 , Rb+ or Cs+, are reported and used to confirm the hypothesis presented in an earlier paper [J. Chem. Phys. 94 (1991) 5946], that there is solid state induced vibrational coupling between the 1 and 3 modes of tetrahedral ions. C.5 ANTIBACTERIAL ACTIVITY OF CERTAIN SPICE EXTRACTS Q. Mandeel, A. Hassan and Z. Isa College of Science, University of Bahrain, P.O.Box 32038, Isa Town Campus, Kingdom of Bahrain Journal of Spices and Aromatic Crops 12:146-153(2003) Abstract Seveteen raw spice samples were examined for phytochemical constituents and antimicrobial properties. Qualitative phytochemical analysis of crude spice extracts revealed the occurrence of alkaloids, coumarins, flavonoids, saponins, terpenes and tannins. Turmeric, clove and bay leaf showed the highest frequency of occurrence of these plant components among others. Terpenes were present in 94.12 % of the samples evaluated. Ethanol extracts of spice samples were in vitro evaluated for their antimicrobial properties using well diffusion assay against six Gram positive and Gram negative bacteria. Results showed that all the spice extracts, except black cardamom, possess biological activity on one or more of the test bacteria. Clove extracts displayed the highest antibacterial activity (19.5 mm) against Escherichia coli, followed by bay leaf (19 mm) against the same bacteria and cumin (19 mm) against Pseudomonas aeroginosa, at 1000 l/100 l. Extracts of galangale, turmeric and fennel also exhibited a broad spectrum biological activity. The most susceptible bacteria, based on frequency values, were E. coli (76.4%), P. aeruginosa and Bacillus subtilis (58.82%) and the least susceptible species were Salmonella arizonae (23.52%) and Enterobacter aerogenes (17.64%) at 1000 g/100 l. Overall, the presence of biologically active compounds and potent antimicrobial properties elucidate the potential use of spices in small amounts, individually or in combination in human therapy or folk medicine and as food preservative. 5 C.6 EVALUATION OF SOME METALS IN COMMONLY CONSUMED SPIECES IN BAHRAIN A. M. Hassan, Q. A. Mandeel* and H. A. Nabi College of Science, University of Bahrain, 32038, Isa Town Campus, Kingdom of Bahrain *Department of Biology, College of Science, University of Bahrain, 32038, Isa Town Campus, Kingdom of Bahrain Arab Gulf Journal of Scientific Research, 21(2), 7985(2003) Abstract Concentration of some heavy and essential metals were assayed in seventeen commonly consumed spices in Bahrain using atomic absorption spectroscopy. Samples were collected from different retail outlets in the local spice market (bazaar). The data showed wide variation in metal content among the various spice samples. The maximum mean level of elements among all spices based on plant parts fall in the magnitude of the order: iron > zinc > copper > nickel > lead > cadimium, in leaves, rhizomes, seeds, buds, fruits and barks, respectively. For heavy metals, caraway contained the highest level of lead ( 2.2 g/g) and green cardamon exhibited the highest cadmium level (0.9 g/g). With essential metals, concentration of iron, zinc, copper and nickel were highest in cumin (13.6 g/g), black cumin (52.2g/g), black pepper (17.3 g/g), and black cumin (4.9 g/g), in that order. The reliability of the findings and approach was confirmed by analyzing data from the literature. C.7 ASSESSMENT OF in vitro ANTIFUNGAL ACTIVITIES INDIGENEOUS BAHRAINI MEDICINAL PLANTS OF VARIOUS EXTRACTS OF Qaher Mandeel1 and Ahmed Taha2 1 Department of Biology and 2Department of Chemistry, College of Science, University of Bahrain, Kingdom of Bahrain Pharmaceutical Biology, 43(2) 164-172 (2005) Abstract The in vitro antifungal activity of aqueous, ethanol, chloroform, petroleum ether, and residue extracts from 10 indigenous Bahraini plants used in folk medicine for the treatment of various diseases is reported. Extract efficacy was evaluated using the agar well diffusion assay against four filamentous fungi and two yeasts monitored by standard antifumgal disks. The results showed that all but, in particular, ethanol and chloroform plant extracts reveal variable degrees of bioactivity against at least two of the tested microbes. The highest ethanol extract activity was exhibited by Cressa cretica (L.) against Penicillium citrinum Thom (32.2 mm) followed by Candida albicans (C. P. Robin) Berkhout (25.7 mm). The diffusable metabolites of Heliotropium curassavicum L. also demonstrated marked inhibitory effects against the same microorganisms. Chloroform extracts of Emex spinosa Campd. displayed an elevated potency against Alternaria alternata (Fries) Keissler (27.9 mm) and Saccharomyces cerevisiae Meyen ex. E. C. Hansen (27.5 mm). Zone of inhibition against other fungi varied from 19.9 to 25.9 mm. However, the highest growth inhibition was encountered with Fagonia indica Burm F. against P. citrinum (29.3 mm). With the exception of chloroform extracts from cultivated soils, various extracts of plants randomly collected from saline-affected soils exhibited higher fungal radius inhibition than plants from cultivated soils. The significance of these results in relation to ethnobotanical data is discussed. 6 M.1. ASYMPTOTIC FORMULAE OF LIOUVILLE – GREEN TYPE FOR HIGHER EVEN-ORDER EQUATIONS A. S. A. Al-Hammadi Department of Mathematics, College of Science, University of Bahrain, P.O.Box 32038, Bahrain Communications in Nonlinear Science and Numerical Simulation 10, 643-652 (2005) Abstract Asymptotic formulae of Liouville – Green type of general linear ordinary differential equations of an arbitary even-order 2 m are investigated. A theorem on asymptotic behaviour at the infinity of 2m linearly independent solutions is proved. It is shown that numerous results known in the literature are contained in this theorem as particular cases. M.2 EULER CASE FOR A GENERAL FOURTH – ORDER DIFFERENTIAL EQUATION A. S. A. Al – Hammadi Department of Mathematics, College of Science, University of Bahrain, P. O. Box 3238, Bahrain IJMS 51, 2705-2717 (2004) Abstract We deal with an Euler case for a general fourth-order equation and under this case, we obtain the general formula for the asymptotic form of the solutions. M.3 THE CALIBRATION PROBLEM REVISITED M. A. Ali and M. Y. Ashkar Department of Mathematics, University of Bahrain, P.O.Box 32038, Isa Town, Kingdom of Bahrain Comunications in Statistics, Theory and Methods 31(10) 1733-1741(2002) Abstract This article examines the impact of correlation coefficient on the problem of calibration. An estimator based on a 100(1 - )%, 0 < < 1, calibration confidence interval is obtained. This estimator dominates, in some sense, the available estimators. M.4 IMPACTS OF ERROR VARIANCE ON AN ASYMPTOTICALLY UNBAISED ESTIMATOR FOR INVERSE REGRESSION M. Y. Ashkar and M. A. Ali Department of Mathematics, University of Bahrain, P.O.Box 32038, Bahrain. Pak. J. Statist. 20(2), 263-275 (2004) Abstract 7 Srivastava and Singh (1989) proposed a class of weighed average estimators for inverse linear regression. They examined the asymptotic bias and the asymptotic mean squared error (MSE) of this family of estimators. They found that a member of this class is asymptotically unbaised to the order of their approximation. This article compares the well known classical, inverse and the asymptotically unbaised weighted average estimators of inverse linear regression by Monte Carlo methods. It is observed that for small and moderate size samples the asymptotically unbaised weighed average estimator is relatively interior to the inverse estimator from a mean squared error point of view. M.5 REFLECTION OF SOME QUASI-LOCAL DOMAINS Ahmed Ayache1, David E. Bobbs2, and Othman Echi3* Department of Mathematics, College of Science, University of Bahrain, P.O.Box 32038, Isa Town, Kingdom of Bahrain Journal of Algebra and its Applications, (2005) in press. Abstract If (R,M) and (S,N) are quasi-loacl domains and ƒ : R → S is a ring homomorphism, then ƒ is said to be a strong local homomorphism if ƒ(M) = N. Let PVD be the category whose objects are the pseudo-valuation domains that are not fields and those morphisms are the strong local homomorphisms; let VD be the full subcategory of PVD whose objects are all the valuation domains that are not fields. Then VD is shown to be a reflective subcategory of PVD. This result is extended in two ways: by obtaining a reflective conclusion for a category whose class of objects properly contains all pseudo-valuation domains; and by characterizing which pseudo-valuation domains R are such that the inclusion map from R into the associated valuation domain of R satisfies a universal mapping property in various categories of quasilocal domains and strong local homomorphisms. M.6 A FORMULA ABOUT TREES Ahmed Ayache1 and Walied H. Sharif2 1 University of Bahrain, Faculaty of Science, Department of Mathematics, P.O.Box 32038, Isa Town, Kingdom of Bahrain. aayche@sci.uob.bh 2 Department of Mathematics, College of Science, Qatar University, Doha, P.O.Box 2713, Qatar. W.sharif@qu.edu.qa Vietnam Journal of Mathematics, (2005) in press. Abstract Let G be a tree. It is proved that for any vertex of G V+ [d (q) 2] l(,q) = 1, qV in which d(q) is the degree of the vertex q, and l(,q) is the distance between and q in G. This result enable us to derive a formula concerning the average distance for some particular trees. M.7 CRITICAL SLOWING DOWN IN A BISTABLE MODEL WITH SQUEEZED VACUUM ENVIRONMENT 8 S. S. Hassan1,a and Y. A. Sharaby2 1,a University of Bahrain, College of Science, Mathematics Department, P.O.Box 32038, Bahrain. E-mail: shoukryhassan@hotmail.com 2 Suez Canal University, Faculty of Education, Physics Department, Suez, Egypt. Eur. Phys. J. D. 30, 393-401(2004) Abstract Critical slowing down effect in a bistable model of a two-level atomic medium in a ring cavity and in contact with squeezed vacuum field is examined within the mean field approximations in the high-, low- and arbitary-Q cavity cases. Depending on the squeezed vacuum field phase parameter, the time response to linear perturbation of the incident field near the switching – on point can be enhanced or reduced compared with the normal vacuum case. In the low-Q cavity case with atomic collisional broadening switching time is both increased and become insensitive to the phase of the squeezed vacuum field. Analytical expressions are given and analysed for the critical (extermal) values of the incident field. In the high-Q cavity, Gaussian field features causes lesser-steep transition between the stable states in both the normal and squeezed vacuum cases. M.8 ENTROPIC UNCERTAINTY IN THE SECOND HARMONIC GENERATION JAYNES-CUMMINGS MODEL IN PRESENCE OF A M. Sebawe Abdallaa.*, S. S. Hassanb, M. Abdel-Atyc * Mathematics Department, College of Science, King Saud University, P.O.Box 2455, Riyadh 11451, Saudi Arabia. b Mathematics Department, College of Science, University of Bahrain, P.O.Box 32038, Bahrain c Mathematics Department, Faculty of Science, South Valley University, 82524 Sohag, Egypt. Optics Communications 244, 431-443(2005). Abstract In the present communication we investigate the usual Jaynes-Cummings Hamiltonian model, describing two-level atom interacting with an electromagnetic field, in the presence of the second harmonic generation (degenerate parametric amplifer). Exact solutions of the wave function in the Schrodinger picture have been obtained for two different cases. In the first case the field frequency is not equal to the splitting photon frequency , where the canonical transformation has been invoked to obtain the solution of the wave function. In the second case, we considered both frequencies are equal ( = ) and the system is taken to be at exact resonance. Both solutions have been used to discuss the atomic inversion as well as the entropy squeezing. It has been shown that the system is sensitive to any change in the coupling parameter responses of the second harmonic generation as well as to the atomic phase angle. M.9 MESOSCOPIC MULTISTABILITY WITH TWO-PHOTON ATOMIC SYSTEM Y. A. Sharaby1, S. S. Hassan2* and S. M. A. Maize3 1 Suez Canal University, Faculty of Education, Physics Department, Suez, Egypt. 2 *University of Bahrain, College of Science, Mathematics Department, P.O.Box 9 32038, Bahrain 3 Menufia University, Faculty of Science, Physics Department, Shebin Elkom, Egypt Nonlinear Optics, Quantum Optics, 33, 1-16(2005) Abstract Multistability that results from the interaction of a mesoscopic two-level two-photon Rydberg atomic system, driven by coherent field, with a single cavity mode is investigated in both absorber and amplifier regimes. The stark shift coefficient which included in two-photon transition atomic systems, leads to a weaken Rabi oscillations under certain parameters of the system. The effect of the stark shift is different in both absorber and amplifer regimes. Transverse field effects, in addition to the stark shift parameter leads to over-damped Rabi oscillations rather than strong nonlinear oscillations that characterizing two-photon transition systems. M.10 FIELD-DEPENDENT RELAXATION TWO-LEVEL ATOM MODEL AND QUANTUM INTERFERENCE IN A TWO-PHOTON S.S. Hassan1 and M. A. El-Deberky2 1 University of Bahrain, College of Science, Mathematics Department, P.O.Box 32038, Bahrain ( shoukryhassan@hotmail.com ) 2 Al-Azhar University, Faculty of Science, Mathematics Department (Women's Section), Nasr City, Cairo, Egypt. Nonlinear Optics, Quantum Optics, (2005), in press. Abstract The relaxation behaviour of the model of 2-photon transition 2-level atom is investigated in the presence of intense coherent field excitations in Heisenberg picture. Generalized forms for the Bloch-like equations for the net atomic coherence are derived for arbitrary number of intermediate levels of the same parity and approximately the same energy. The intense field excitations induce Fourier harmonics (at the exciting field frequencies) in the atomic variables in the transient regime and in some cases in the steady regime. For a single intermediate level (i.e. two-level atom with one intermediate level) the obtained result are valid irrespective of the atomic level structure. In the special case of 3-level ladder structure (i.e. twolevel atom with one intermediate level) the role of the quantum interference (cross coupling) between the two transition channels is investigated in detail. Notably, the case of two intense exciting fields induces steady oscillatory absorption coherence due to quantum interference. M.11 DIFFUSION RESONANCE FREQUENCY OF OSCILLATING SOLUBLE GAS BUBBLES N. S. Khabeev Department of Mathematics, University of Bahrain, Kingdom of Bahrain E-mail: nail@sci.uob.bh MORGAN X (The 10th International Conference in Modern Group Analysis), Larnaca, Cyprus 24-31 October, pp.33,(2004) Abstract Soluble gas bubbles in a liquid experiencing radial oscillations created by an acoustic filed are considered. It is shown that the resonance frequency of large soluble gas 10 bubbles practically coincides with the natural frequency of adiabatic gas bubbles as determined by the Minnaert formula, while in the case of small gas bubbles, the presence of capillary effects and solubility of the gas in the liquid leads to a new resonance frequency that differs from the Minnaert frequency. A simple analytic formula is obtained that relates the resonance frequency of a soluble gas bubble and its radius. Ranges of dimensions of bubbles, and frequencies of the acoustic filed are given, within which different approximations of the relations between resonance frequency and bubble radius hold true. M.12 SIMULATION WELLS OF MICELLAR-POLYMERIC WATER-FLOODING IN A SYSTEM OF N. A. Inogamov and N. S. Khabeev* *Department of Mathematics, University of Bahrain, Kingdom of Bahrain Fluid Dynamics, 39(6), 953-960(2004) Abstract A mathematical model of the time-dependent two-dimensional flow of a two-phase multicomponent incompressible fluid through a porous medium is proposed for the micellar-polymeric flooding of oil reservoirs. The oil displacement process is investigated numerically using an implicit first-order-accurate upwind scheme with integration over the nonlinearity on a uniform grid under the assumption of planeradial motion in the neighborhood of the wells. The influence of the nonuniform permeability of the porous medium on the efficiency of the proposed method of improving oil recovery is analyzed using a five-point slug injection scheme. M.13 A SIMPLE APPROXIMATION FOR JACOBI'S theta-FUNCTION N. S. Khabeev* Department of Mathematics, University of Bahrain, P.O.Box 32038, Bahrain, Email: nail@sci.uob.bh Communications in Nonlinear Science and Numerical Simulation, (2005) in press. Abstract Solutions of heat transfer problems obtained by Fourier's method sometimes can be expressed in terms of Jacobi's theta-functions. A simple analytic approximation of high accuracy for Jacobi's theta-function is obtained. M.14 COMPACT MANIFOLDS WITH POSITIVE EINSTEIN CURVATURE M. –L. Labbi* *Department of Mathematics, College of Science, Univeristy of Bahrain, Isa Town, 32038, Bahrain. E-mail: labbi@sci.uob.bh Geometriae Dedicata, 108(1), 205-217(2004). Abstract In this paper we study positive Einstein curvature which is a condition on the Riemann curvature tensor intermediate between positive scalar curvature and positive sectional curvature. We prove some constructions and obstructions for positive 11 Einstein curvature on compact manifolds generalising similar well known results for the scalar curvature. Finally, because our problem is relatively new, many open questions are included. M.15 DOUBLE FORMS, CURVATURE STRUCTURES AND THE (p,q)-CURVATURES M. –L. Labbi* *Department of Mathematics, College of Science, University of Bahrain, Isa Town, P.O.Box 32038, Bahrain. E- mail: labbi@sci.uob.bh Transactions of the American Mathematical Society. (2005) Abstract We introduce a natural extension of the metric tensor and the Hodge star operator to the algebra of double forms to study some aspects of the structure of this algebra. These properties are then used to study new Riemannian curvature invariants, called the (p,q)-curvatures. They are a generalization of the p-curvature obtained by substituting the Gauss-Kronecker tensor to the Riemann curvature tensor. In particular, for p = 0, the (0,q)-curvatures coincide with the H. Weyl curvature invariants, for p = 1 the (1,q)-curvatures are the curvatures of generalized Einstein tensors and for q = 1 the (p,1)-curvatures coincide with the p-curvatures. Also, we prove that for an Einstein manifold of dimension n > 4 the second H. Weyl curvature invariant is nonegative, and that it is non-positive for conformally flat manifold with zero scalar curvature. A similar result is proved for the higher H. Weyl curvature invariants. 12 P.1 OPTICAL SWITCHING IN HYDROGENATED AMORPHOUS SILICON-SULFUR ALLOY PREPARED BY GLOW DISCHARGE S. Al-Dallal*, F.Z. Henari, S.M. AL-Alawi, S.R. Arekat, H. Manaa Department of Physics, University of Bahrain, P.O.Box 32038, Bahrain Journal of Non-Crystalline Solids 345 and 346, 302-305 (2004) Abstract The third-order optical non-linearity of hydrogenated amorphous silicon-sulfur alloys prepared by a plasma enhanced chemical vapor deposition process has been measured using the z-scan technique. Intensity absorption dependence was observed and attributed to reverse saturation absorption (optical limiting). The origin of the effect was explained in term of defect states in the band gap. We demonstrate that the reverse saturation absorption is responsible for the observed non-linearity and can be utilized to generate all optical switching. P.2 EMPIRICAL CORRELATIONS FOR THE CLIMATE DATA IN THE KINGDOM OF BAHRAIN W.E. Alnaser*, M. K. Merzaa Department of Physics, College of Science, University of Bahrain, P.O.Box 32038, Isa Town, Bahrain. E-mail: waheeb@sci.uob.bh Energy (2005), in press. Abstract The Average yearly recorded weather data in the Kingdom of Bahrain over an extended period ranging from 1902 to 2002 for the temperature and from 1962 to 2002 for the atmospheric pressure, the relative humidity, the wind speed and the sunshine duration (i.e. long-term data), is statistically analyzed and empirically modeled. Regression methods, including polynomial and sinusoidal models, are used to fit the data. Polynominal fits are used in modeling the average yearly variations. The obtained coefficients of determination (R2) of these fits are tabulated. In addition, we empirically modeled the monthly variations of the climate parameters using both polynominal as well as sinusoidal regression models. Our results were compared with similar studies for nearby countries, i.e. Oman and Kuwait. The values of R2 for both fits are also tabulated. P.3. CONSTRAINING COSMOLOGICAL PARAMETERS THROUGH GAMMA-RAY BURSTS W. J. Azzam*, M. J. Alothman Department of Physics, College of Science, University of Bahrain, P.O.Box 32038, Isa Town, Kingdom of Bahrain * e-mail address: wjazzam@hotmail.com (w.J.Azzam) Advances in Space Research (2005) in press. Abstract Several independence gamma-ray burst luninosity indicators currently exist, two of which were used in this study. One relates the variability, V, or spikiness of burst's light curve to its luminosity, Lv; while the other relates the time lag, lag, between peaks of hard and soft photons to the luminosity, Llag. Both relations have been 13 calibrated. If the redshift, z, photon flux, P and mean photon energy, , are known, then the burst's luminosity L = 4Pd 2L , where dL is the luminosity distance for an assumed cosmological model. By carrying out a minimization procedure one can investigate the parameter space for certain cosmological parameters (for instance, M), that bring L in agreement with Lv and Llag . The above procedure was carried out for a small sample of burst for which z, V, lag and P are currently available. Given the paucity of current data, this procedure should be considered more as a proof of method. Our analysis indicates that at this stage it is very difficult to distinguish among the different cosmological models. However, as data becomes available from the Swift satellite, this procedure could prove a useful tool in probing and investigating cosmological models. P.4 DIELECTRIC AND OPTICAL PROPERTIES OF SAMARIUM OXIDE THIN FILMS A.A. Dakhel Dept. of Physics,College of Science, University of Bahrain, P.O.Box 32038, Bahrain Journal of Alloys and Compounds 365, 233-239(2004) Abstract Samarium sesquioxide thin films were prepared by vacuum evaporation. Their structural and optical properties have been obtained by X-ray diffractometry (XRD) and optical spectrophotometry. The energy dispersion X-ray fluorescence (EDXRF) spectroscopy method was used to study the composition of the deposited Sm2O3 films. Spectroscopic optical absorption coefficients () are evaluated in the interband transition energy region. The obtained energy gap was 4.33 eV. Thin film capacitors of Al/Sm2O3/Al structure have been prepared. The dc current – voltage characteristics of the capacitor showed that the current transfer is via Schottky emisson at high fileds (E>1 MV/cm). The leakage current density was 6 x 10-7 A/cm2 at an electric field of 106 V/m. The near electrode region (NER) has an effective dielectric constant of 42.7 according to Schottky current formula. The dielectric properties such as capacitance, ac conductance and dielectric loss factor were investigated as a function of bias voltage, temperature and frequency in the range from 60 Hz to 100 kHz. The measurements were performed in air at various temperatures in the range from 297 to 483 k. The frequency dependence of capacitance and conductance are consistent with the 'universal dielectric response law' with exponent s = 0.6 at room temperature. The frequency behaviour of the dielectric properties can be explained according to the dipoles-dipole interaction and screening effect. The behavior of temperature dependence of ac conductivity suggests two competing hopping mechanisms with dominating activation energies of 0.01 eV at low-temperature range and of 0.04 eV at high-temperature range. P.5 CHARACTERISATION OF Nd2O3 THICK GATE DIELECTRIC FOR SILICON A.A. Dakhel Dept. of Physics,College of Science, University of Bahrain, P.O.Box 32038, Bahrain Phys.Sat.Sol.(a) 201, No.4, 745-755(2004) Abstract Thin neodymium films were prepared by the reactive synthesis method on Si(P) substrates to form MOS devices. The oxide films were characterised by UV 14 absorption spectroscopy, X-ray fluorescence (EDXRF) and X-ray diffraction (XRD). The ac conductance and capacitance of the devices were studied as a function of frequency in the range 100 Hz – 100 kHz, of temperature in the range 293-473 K and of gate voltage. It was proved that a suitable formalism to explain the frequency dependence of the ac conductivity and capacitance of the insultator is controlled by a universal power law based on the relaxation processes of the hopping or tunnelling of the current carriers between equilibrium sites. The temperature dependence of the ac conductance at the accumulation state shows a small activation energy of about 0.07 eV for a MOS device with amorphous neodymium oxide. The temperature dependence of the accumulation capacitance for a MOS structure with crystalline neodymium oxide shows a maximum at about 390 K; such a maximum was not observed for the structure with amorphous neodymium oxide. The method of capacitance –gate voltage (C-Vg) measurements was used to investigate the effect of annealing in air and in vacuum on the surface density of states (Nss) at the insulator/semiconductor (I/S) interface. It was concluded that the density of surface states in the mid-gap increase by about five times while the density of the trapped charges in the oxide layer decreases by about eight times when the oxide crystalises into a polycrystalline structure. P.6. ELECTRICAL CONDUCTION PROCESSES PREPARED ON Si(100) SUBSTRACTES IN NEODYMIUM OXIDE THIN FILMS A.A. Dakhel Dept. of Physics,College of Science, University of Bahrain, P.O.Box 32038, Bahrain Journal of Alloys and Compounds 376, 38-42 (2004). Abstract Thin Nd oxide films were prepared on Si (P) substrates to form MOS structure. The oxide films were annealed at different conditions and their crystal structure were determined by X-ray diffraction (XRD). The dc electrical transport properties of the devices with amorphous and crystalline Nd oxide were investigated. The currentvoltage J(Vg) and current-temperature J(T) characteristics suggest that the carrier tranport through the device follows the space charge limited current mechanism (SCLC) controlled by exponential or uniform distribution of localised levels in the band gap, depending on the annealing conditions of the oxide. For the crystalline oxide film annealed in air at 800ºC, the current transfer is governed by SCLC mechanism characterised by uniform distribution of traps in the band gap while for crystalline film annealed at 800ºC in vacuum of 10-4 Pa the current transfer follows the SCLC mechanism characterised by exponential distribution of localised states in the band gap. But, SCLC mechanism governs partially the current transfer in amorphous oxide films. The effect of hygroscopic nature of Nd oxide is observed only in the temperature dependence of current density of amorphous oxide sample. P.7. MOTT-HOPPING PROCESSES Si(100) SUBSTRATES IN NEODYMIUM OXIDE THIN FILMS PREPARED ON A.A. Dakhel Dept. of Physics,College of Science, University of Bahrain, P.O.Box 32038, Bahrain Crystal Research and Technology 39, 404-407 (2004) 15 Abstract Thin Nd oxide films were prepared on Si(P) substrates to form MOS structure. The oxide films were annealed at different conditions and their crystal structures were determined by X-ray diffraction (XRD). The de electrical transport properties of the devices with amprhous and crystalline Nd oxide were investigated. The currenttemperature J(T) characteristics suggest that the carrier transport through the insulator follows Mott's variable-range hopping (VRH) mechanism and its results were compared with the results obtained from X-ray diffraction. P.8. OPTICAL AND DIELECTRIC PROPERTIES OF GADOLINIUM-INDIUM OXIDE FILMS PREPARED ON Si(100) SUBSTRATES A.A. Dakhel Dept. of Physics,College of Science, University of Bahrain, P.O.Box 32038, Bahrain Chem. Phys. Lett. 393, 528-534 (2004). Abstract Samples of thin (Gd-In) oxide film were prepared on quartz and Si(P) substrates for optical and electrical investigations. These samples were annealed at different conditions and and characterised by UV-Vis absorption spectroscopy, X-ray fluorescence (XRF) and X-ray diffraction (XRD). The AC-conductance and capacitance were studied as a function of frequency, temperature, and gate voltage. The 'corrected barrier hopping' CBH model controls the frequency dependence of the conductivity and capacitance. Good oxide-Si interface properties due to low midgap interface state density was observed for (Gd-In) oxide sample annealed in vacuum. P.9. DIELECTRIC PROPERTIES OF EUROPIUM-INDIUM OXIDE SOLID SOLUTION FILMS PREPARED ON Si(100) SUBSTRATES A.A. Dakhel Dept. of Physics,College of Science, University of Bahrain, P.O.Box 32038, Bahrain J. Phys. Chem. Solids, 65, 1765-1771(2004) Abstract Thin Eu-In solid solution oxide films (SS) were grown on Si(P) substrates to form MOS devices. The samples were characterised by X-ray fluorescence and X-ray diffraction techniques. The ac-conductance and capacitance of the devices were studied as a function of frequency in the range 500 Hz to 100 kHz, temperature in the range 293-400 K and gate voltage. The investigation established that: (1) the prepared SS exhibit a sudden reversible structural change at about 370 K, (2) the frequency dependence for ƒ> 10 kHz of the ac-conductivity and capacitance of the insulator at room temperature is controlled by the 'corrected barrier hopping' CBH model, (3) the temperature dependence of the ac-conductance which shows a small activation energy characterises the hopping process of current carriers between equilibrium sites, and (4) the prepared transparent SS have a sufficiently high relative permittivity , around 30, which suggests they are promising candidates for high- dielectric applications. P.10. CHARACTERISTICS OF DEPOSITED Eu2O3 16 FILM AS A THICK GATE DIELECTRIC FOR SILICON A.A. Dakhel Dept. of Physics,College of Science, University of Bahrain, P.O.Box 32038, Bahrain Eur. Phys. J. Appl. Phys. 28, 59-64 (2004) Abstract Thin Eu2O3 films were prepared on Si(P) substrates to form MOS devices. The oxide films were characterised by X-ray fluorescence (EDXRF) and X-ray diffraction (XRD). The ac conduction mechanism and the dielectric properties of the oxide layers were studied at room temperature and in the temperature range of 290-420 K. we have also investgated the effect of the oxide-crystal structure on the surface density of states (Nss) at the insulator/semiconductor (I/S) interface. The method of capacitance-voltage (C-V) measurements was used to determine the Nss. It was concluded that the density of surface states in the mid-gap increases by about 30 times when the oxide Eu2O3 crystallises in polycrystalline form. Also, the density of the trapped charges in the oxide layer decreases by about 12 times when the oxide crystallises. The infrared studies inform us about the humidity incorporaton in the oxide film in form of chemisorbed hydroxyl (OH) groups that leave the film for T > 373 K. P.11 ELECTRICAL AND TRANSPORT PROPERTIES OF EUROPIUM-INDIUM OXIDE FILMS PREPARED ON Si(100) SUBSTRATES A.A. Dakhel Dept. of Physics,College of Science, University of Bahrain, P.O.Box 32038, Bahrain Physica B: Physics of Condensed Matter 353, 255-262 (2004) Abstract Thin EU-In binary oxide films were prepared by alternating deposition method on Si(P) substrates to form metal-oxide-Si(MOS) devices. These films were annealed at different conditions and characterised by X-ray fluorescence (EDXRF) and X-ray diffraction (XRD). The capacitance-gate voltage (C-Vg) dependence was used to investigate the effect of annealing conditions on the trapped-fixed charge concentration in the oxide and on the relative permittivity of the film sample. It was observed that the prepared crystalline-dielectric Solid Solution (SS) of EU-In oxide has a sufficiently high relative permittivity , around 30. This suggests that it is promising candidate for high- dielectric applications. The DC electrical properties of EU-In binary oxides insulator were investigated. The current-voltage J(Vg) and current – temperature J(T) characteristics refer to different current transfer processes depending on the annealing conditions, i.e., on the structure and trap concentration. The current transfer in the oxide film sample with mixed amorphous Eu oxide and polycrystalline In2O3 is governed by Poole-Frenkel (PF) mechanism of barrier height 0.15 eV while in the oxide film with mixed polycrystallines Eu2O3 and In2O3 follows the trap-charge-limited space-chargelimited conductivity (TCLC-SCLC) mechanism characterised by exponential distribution of traps of temperature parameter of 512.8 K and total trap concentration (Nt) of 4.2 x 1022m-3. The current transfer in MOS device with dielectric solid solution of EU-In oxide follows the TCLC-SCLC mechanism with temperature parameter of 427.8 K and Nt of 2.2 x 1023 m-3. It was concluded that the carrier traps 17 in those crystalline films are distributed exponentially in energy within the band gap. These concentrations Nt were compared with the concentrations of the fixed charges in the films calculated from the capacitance measurements, which was around 1022 charges/m3. P.12 TEXTURE EFFECTS IN PARTICULATE MEDIA M. A. Gonzalez-Fernandeza, G. Blocksidgea, C. Buncea, K. O'Gradya, M. ElHilob, M. P. Sharrockc, and D. M. Seftickc a Department of Physics, The University of York, Heslington, York YO10 5DD, UK b Physics Department, University of Bahrain, Isa Town, 32038, Bahrain. c Imation Corporation, Oakdale, Minnesota, 55128-3414, USA. Journal of Magnetism and Magnetic Materials Vol. 290-291, part I, 498-501 (2004). Abstract In this paper, we report on a study of the switching field distribution of the particles in a tape that has been fabricated with different easy axes orientations along its length. The samples are composed of acicular metal particles dispersed within binders and solvents coated onto a plastic film. We observed a broadening of the switching field distribution in samples with a wide easy axes distribution. P.13 MAGNETIC VISCOSITY EFFECTS ON THE DETERMINATION OF THE SWITCHING FIELD DISTRIBUTION IN CoNiCr THIN FILMS B. A. Jonesa, M.El-Hilob, K. O'Gradya,* a Physics Department, University of York, Heslington, York, YO10 5DD, UK b University of Bahrain, College of Science, PO Box 32038, Isa Town, Bahrain Journal of Magnetism and Magnetic Materials 272-276, e517-e519(2004). Abstract In this work we examine the effect of magnetic viscosity on the determination of the switching field distribution (SFD) in hard magnetic materials. We find that measuring at a slower rate broadens the measured SFD and leads to larger values of the Néel fluctuation field. The effect of intergranular exchange coupling is also discussed. P.14 INTERACTIONS EFFECTS IN GRANULAR POWDER SYSTEMS M. El-Hiloa*, I. Bsoulb, A. Rousanc, A. Hudeishc a *Physics Department, College of Science, University of Bahrain, P.O.Box 32038, Isa Town, Bahrain. E-mail: mhilo@rocketmail.com b Department of Physics, Al al-Bayt University, P.O.Box 130040, Mafraq, Jordan c Department of Physical Science, Jordan University of Science and Technology, P.O.Box 3030, Irbid, Jordan Journal of Magnetism and Magnetic Materials 272-276, 327329(2004). 18 Abstract In this paper the effects of interactions in doped barium ferrite powder system at different concentrations are examined. At low concentrations (Ms<2emu/g), the coercivity is observed to decrease linearly with increasing particle concentration. In addition, the measured M curves for all samples examined showed negative profiles, which indicates that, the predominant dipolar interactions are negative. The linear decrease in coercivity is attributed to be due to the increase in the strenght of the negative dipolar interactions. P.15 TIME-DEPENDENT COERCIVITY IN PARTICULATE RECORDING MEDIA M. El-Hilo *Physics Department, University of Bahrain, P.O.Box 32038, Isa Town, Bahrain. Email: mhilo@rocketmail.com Journal of Magnetism and Magnetic Materials 272-276, 1700 - 1702(2004). Abstract In this paper, the time dependence of coercivity (Hc) in particulate systems in the thermal relaxation regime is calculated. The calculations were made for an aligned system of poly dispersed particles. In the thermal regime, the calculations show that the Brown's model for relaxation times gives better results than the Arrhenius-Néel model, due to the field dependence of the attempt frequency in the Brown's model. P.16 MAGNETIZATION REVERSAL IN GRANULAR POWDER SYSTEMS M. El-Hiloa*, A. Rousanb, A. Al-Hattabb a * Department of Physics, University of Bahrain, P.O.Box 32038, Isa Town, Bahrain. E-mail: mhilo@rocketmail.com b Department of Physical Science, Jordan University of Science and Technology, P.O.Box 3030, Irbid, Jordan Journal of Magnetism and Magnetic Materials 272-276, e493-e495(2004). Abstract In this paper, the magnetization reversal in substituted BaFe12-2xCoxTixO19 nanoparticles is examined. Measurements of fluctuation field (Hf) have shown that the behaviour of Hf is greatly influenced by the substitution level (x). At x = 0.71, Hf is observed to be slowly varying with field, which is expected for a particulate system when both distributions (anisotropy fileds and particle volumes) have comparable standard deviations. Hence a constant behaviour of Hf with field cannot be used as an indication of single activation energy in the system. P.17. GAIN MEASUREMENTS IN A DYE-DOPED POLYVINYL-PYRROLIDONE POLYMER F.Z. Henari Physics Department, College of Science, University of Bahrain, P.O.Box 32038, Isa Town, Kingdom of Bahrain Laser Physics, 15(3), 419-421(2005) 19 Abstract We report on optical-gain measurements in a glass-clad polymer optical fiber that uses dye-doped polyvinyl pyrrolidone. The optical gain is determined from amplified spontaneous emission intensity, which is dependant on the stripe excitation length. Net gains of 3 to 6.5 cm-1 for input energies of 15 to 62 J, respectively, were measured. A slope effciency as high 7% is an indication of the possible use of the compound as a laser medium. P.18 Picosecond pulse generation from passively mode-locked vertical cavity diode laser at up to 15 GHz pulse repetition rate K. Jasim, Q. Zhang, A. V. Nurmikko, E. Ippen, A. Mooradian, G. Carey and W. Ha K. Jasim, Q. Zhang, and A. V. Nurmikko (Department of Physics, Division of Engineering, Brown University, Providence, RI 02912 USA). A. Mooradian, G. Carey and W. Ha (Novalux, Inc., Sunnyvale, CA 94086 USA). E. Ippen (Department of Electrical Engineering and Computer Science, MIT, Cambridge, MA 02139 USA). IEEE Electronics Letters 40(1),34-36 (2004). Abstract The generation of ultrashort pulses (~15 ps) from a passively mode-locked InGaAs multiple quantum well (MQW) vertical cavity surface emitting diode laser is reported at a repetition rate up to 15 GHz, utilising a cavity configuration that incorporates a reverse-baised quantum well devie as a fast saturable absorber. Pulsing at up to 20 GHz rate has been observed on a continuous-wave background. P.19 Operation of a Passively Mode-locked extended-cavity surface-emitting diode laser in multi-GHz regime Qiang Zhang, Khalil Jasim, A. V. Nurmikko, Fellow, IEEE, Arm Moodradian, Member IEEE, Glen Carey, Wonill Ha, and Erich Ippen, Fellow, IEEE Q. Zhang, K. Jasim, and A. V. Nurmikko are with Division of Engineering, Brown University, Providence, RI 02912 USA (e-mail: Qiang_Zhang@brown.edu ). A. Mooradian, G. Carey and W. Ha are with the Novalux, Inc., Sunnyvale, CA 94086 USA. E. Ippen is with the Department of Electrical Engineering and Computer Science, MIT, Cambridge, MA 02139 USA. IEEE Photonics Technology Letters, 16(3),885-887 (2004) Absract We report on passive mode-locking of vertical cavity surface-emitting diode lasers at 980-nm wavelength, applied to different extended resonator configurations. Stable mode-locking producing pulses of approximately 50 ps in duration at up to 6-GHz repition rate has been achieved. The use of external feedback results in pronounced harmonic pulse generation, extending the operational range of these new devices. P.20. EFFECTIVE STIMULATED EMISSION CROSS-SECTIONS VINYLENE) COPOLYMERS IN TOLUENE SOLUTION 20 OF POLY(PHENYLENE H. Manaa1*, Fryaz Z. Henari1, Ahmed Al-Saie1, Stefanie Maier2 and Werner J. Blau2 1 Department of Physics,College of Science, University of Bahrain, P.O.Box 32038, Kingdom of Bahrain 2 Material Ireland Research Center, Department of Physics, Trinity College, Dublin 2, Ireland Optical and Quantum Electronics 36 819-826(2004) Abstract We report optical gain measurements in four different copolymers poly{p-phenyleneco-[2,5-dioctyloxy-p-phenylene-bis-2(4-nonylphenyl)vinylene]} nonyl-PpPV, poly{m-phenylene-co-[2,5-dioctyl-oxy-p-phenylene-bis-2(4-methylphenyl) vinylene]} methyl-PmPV,poly[p-phenylene-co-[2,5-dioctyloxy-p-phenylene-bis-2(4methyl-phenyl) vinylene]}methyl-PpPV, poly{p-phenylene-co-[2,5-dioctyloxy-pphenylene-bis-2(4-methylphenyl)vinylene]}methyl-PpPV,poly{p-phenylene-co-[2,6naphthy-lene-bis-2(4-nonylphenyl)vinylene]}nonyl-PpPV-NV in toluene. The copolymers are related to poly(phenylene vinylene) and have been synthesized via Horner-Emmons polycondensation reaction. The optical gain determined from the amplified spontaneous emission (ASE) intensity is dependent on the excited stripe length. The net optical gain coefficients are found to vary between 0.1 cm-1 in nonylPpPV to 2.5 cm-1 in methyl-PmPV under nanosecond pulse excitation. The gain for Rodamine 6G was also measured under the same experimental condition and was used to determine the stimulated emission cross-sections for the four polymers and found to be SE (peak) = 6.7 x 10-20 cm2 for nonyl-PpPV, SE (peak) = 1.7 x 10-18 cm2 for methyl-PmPV, SE (peak) =1.4 x 10-18 cm2 for methyl-PpV, and SE (peak) = 1.5 x 10-18 cm2 for nonyl-PmPV-NV. P.21 NONLINEAR OPTICAL PROPERTIES HEXA-ALUMINATE LaMgAl11O19 OF Cr3+ -DOPED LANTHANUM-MAGNESIUM H. Manna* *Physics Department, University of Bahrain, Isa Town, 32038, Kingdom of Bahrain e-mail: hacene@sci.uob.bh Laser Phys. Lett. DOI 10.1002510005/ 1-4(2005). (Published online: 17 February, 2005) Abstract A single beam Z-Scan technique is used to characterize the nonlinear optical properties of Cr3+ -doped lanthanum-magnesium hexa-aluminate LaMgAl11O19 with c.w.laser radiation at 514.5 nm. The real part n'2 = 2.6 x 10-8 cm2/W and the imaginary part n''2 = - 1.1 x 10-9 cm2/W of the laser induced complex refractive index are measured. The excited state absorption cross-section is deduced and found to be 3 x 10-20 cm2 at the same wavelength. P.22 Z-SCAN MEASUREMENTS PERYLIMIDE DYES IN POLY(METHYL METHRACRYLATE) DOPED WITH H. Manna* *Physics Department, University of Bahrain, Isa Town, 32038, Kingdom of Bahrain e-mail: hacene@sci.uob.bh Laser Phys. Lett.1(5),259-263 (2004). 21 (Published online : 8 April, 2004) Abstract Optical limiting with reverse absorption saturation is reported on plastic bulk of poly(methyl methacrylate) (PMMA) doped with two different perylimide molecules, KF 241 and BASF 339. The non-linear absorption coefficient was measured at three wavelengths using the open z-scan technique. was used to calculate the value of imaginary component of the third order non-linear susceptibility X(3). The nonlinear behaviour is explained in terms of a six-level model of electronic structure. P.23 SELF-ABSORPTION AND LIGHT POLY(METHY-METHACRYLATE) AMPLIFICATION IN PERYLIMIDE DYES-DOPED Hacene Manaa* *Physics Department, University of Bahrain, Isa Town, 32038, Kingdom of Bahrain e-mail: hacene@sci.uob.bh Journal of Alloys and Compounds 393/1-2, 219-222(2005) Abstract Optical properties of poly(methyl-methacrylate)(PMMA) doped with perylimide molecules are studied. The self –absorption of perylimide BASF 339 (red) and KF 241 (yellow) is investigated by measuring the emission spectrum in the sample as a function of the distance traveled by the emitted light, after being excited with a continuous laser. The effect of this phenomenon on the shape of the emission spectrum and consequently on the wavelength tunability range is found to be important. The optical gain coefficient is measured using a simple set-up based on only one exciting laser beam, and the detection of a single-pass amplified light emitted along the length of an optically excited sample. The presence of stimulated emission is determined by the exponential increase of the photoluminescence output intensity, when the only length of the excited region is varied. Under moderate pumping intensities, a net laser gain of 53 cm-1 and 36 cm-1 is measured for yellow KF 241 and red BASF 339, respectively. The increase of the emission spectra as the length of the excited region of the sample is increased is found to be wavelength dependent. P.24 EFFECTS OF STATIC MAGNETIC FIELDS ON EARLY EMBROYONIC DEVELOPMENT OF THE SEA URCHINS Echinometra mathaei Lama Sakhnini and Maheen Dairi L.Sakhnini is with the Physics Department, College of Science, University of Bahrain, Isa, Kingdom of Bahrain (e-mail: l_sakhnini@yahoo.com ) M. Dairi is with the Biology Department, College of Science, University of Bahrain, Isa, Kingdom of Bahrain. IEEE: Transactions on Magnetics, 40(4),2979-2981(2004) Abstract The influence of static magnetic fields with intensity of 30-50 mT on the early cleavage division of the sea urchin Echinometra mathaei was investigated. The exposure of fertilized eggs to 30,40, and 50 mT of magnetic fields delayed the onset of early cleavage division. A delay in the first cleavage of 15, 30 and more than 60 22 min was caused by application of 30,40, and 50 mT, respectively. The data also showed a significant decrease in cleaved cells for the exposed embryos. Moreover, the exposed eggs to magnetic fields showed more abnormalities compared to the control group. As the intensity of the magnetic field is increased, earlier appearances of abnormalities were observed. That is, deformed fertilization membrane appeared after only 15 min of exposure to 50 mT compared to 30 min in 30 and 40 mT exposures and 90-105 min in the control group. P.25 THE MECHANICAL PROPERTIES OF SKIN USING LIGHT REFLECTION TECHNIQUE L. Sakhnini1, Muneer Excel1, M. Dairi2 University of Bahrain, College of Science, 1 Department of Physics, 2 Department of Biology. The International Symposium on Optical Science and Technology, San Diego Convention Center, San Diego, California, USA. 3-8 August, 2003. Proceedings of SPIE's vol.5212-46.(2003). Abstract The experimental method is designed to measure small changes that take place in the reflection characteristics of the skin as a function of applied stretch. Pieces of rabbit skin were stretched and light reflection was measured. Different moisturing creams which known to increase the elasticity of the skin were applied to some of the skin samples. P.26 MATHEMATICAL MODELLING OF TWO PHASE FLOW IN A VERTICAL WELL CONSIDERING PARAFFIN DEPOSITS AND EXTERNAL HEAT EXCHANGE V. Sh. Shagopova , N.G. Musakaevb, N. S. Khabeevc and S. S. Bailey c a Sterlitamak State, Pedagogical Institute,Sterlitamak 453103, Russia b Tyumen Insitute of Mechanics of Multiphase Systems, Tyumen 625000, Russia. C Department of Mathematics, College of Science, University of Bahrain, P.O.Box 32038, Isa Town, Bahrain International Journal of Heat and Mass transfer , 47(4), 843-851(2004) (Appeared online 7 October 2003) Abstract Processes, occuring during exploration of gas-oil wells in frozen rock are simulated. A system of differential equations, describing hydro and thermal dynamics of an ascending two-phase flow of a hydrocarbon system in a vertical channel taking into account phase transitions and structure of a flow is developed. Kinetics of paraffin deposits on internal walls of an elevating column of a well are considered. The effect of the heat exchange of a well within frozen rock is developed using differential equations that describe the evolution of the radius of thermal influence of the well and the radius of the melting zone. We conclude with numerical research of some preventive ways of dealing with paraffin deposits. 23