_____________________________________________________________________ PHY3200 Physics Project Titles Academic Year 2016-17 _____________________________________________________________________ Project Title: Analysis of new auxetics structures Supervisors: Co-supervisor: Dr Pierre-Sandre Farrugia Dr Ruben Gatt Abstract: Auxetic materials exhibit the counterintuitive behaviour of expanding laterally in one or more directions when stretched. Similarly, they contract laterally in or more directions when compressed. Such materials have been labelled as smart since they can be made to respond to external stimuli in ways that enhance the performance of the material. For example, the fact that the compressed material contracts, and hence increases its density, at the point where pressure is applied means that they have a higher potential of resisting impacts when compared to their conventional counterparts. The auxetic behaviour is in general due to the inner structure of the material. A number of such mechanisms have been identified and studied. However, given that this is a rather novel field of research many more still need to be analysed. Amongst these are the metachirals that have been proposed and developed by the Malta Auxetics Group. This project entails the study of such auxetics materials using numerical and/or analytical methods. The numerical analysis will be carried out using ANSYS Mechanical software. Suitability: There are no particular prerequisites for this project. The use of ANSYS Mechanical can be learned through the use of tutorials. The Malta Auxetics Group has vast experience in its use and can provide continuous support. ____________________________________________________________________ Project Title: Investigating the effect of the expansion of the solar magnetic field on the pitch angle diffusion coefficient Supervisor: Dr Pierre-Sandre Farrugia Abstract: Solar energetic particles (SEPs) are ions that originate from the sun and move at a very high speed. They are ejected into space through event such as flares and coronal mass ejections. These can then be accelerated in various ways. 1 There are various reasons why SEPs are important. The fact that they are a type of cosmic rays means that they can endanger life in outer space. On the other hand, SEPs can be used to probe the interplanetary magnetic field together with the magnetic turbulence of the solar wind. As yet, a lot still is unknown about SEPs, particularly in relation to their acceleration and their transport. This project investigates how the divergent field lines of the solar magnetic field affect the transport of such particles by evaluating the pitch angle diffusion coefficient, a quantity which is related to the diffusion of the particles in a magnetic field. The project will involve the numerical solution of the relativistic equations of motion for particles moving in a magnetic field. From the trajectories obtained, the pitch angle diffusion coefficient can be calculated. This can be then corrected for the expansion of the solar magnetic field using the results of a program obtained in a previous undergraduate project. Suitability: Knowledge of programming languages such as Matlab is required. _____________________________________________________________________ Project Title: Development of a Dispersion Parameterisation for Atmospheric Point Emission Sources from Existing Formulations Supervisor: Prof Alfred Micallef Abstract: A comparative analysis of various dispersion parameterisations, suitable for point emission sources in unconfined outdoor environments, will be carried out. The experimental (wind tunnel) data needed for such analysis is available. Subsequently, interpolation and other methods will be used to improve on the parametrisations, possibly leading to a new parameterisation that performs better than those under investigation. Suitability: The project is essentially computational in nature. Inevitably, it involves theoretical considerations (albeit, simple). It does not involve any experimental work whatsoever. The project will suit best someone who has mathematics or statistics as the other subject option. S/he will be required to do some computer programming. Nevertheless, the expected computational work should not present difficulty even for the relatively novice. _____________________________________________________________________ 2 Project Title: Ab-initio calculation of elastic constants. Supervisor: Dr Louis Zammit Mangion Abstract: The program Wien2k has been used in past projects to calculate band structures and energies. By inducing a strain in the crystal (ie. Changing one or more dimension) and calculating the resulting energy, it is possible to deduce the corresponding elastic constant (s). In fact, third party scripts exist to perform this calculation automatically. The aim of this project is to validate the method using known materials and then apply it to other materials with potentially exotic elastic constants. _____________________________________________________________________ Project Title: Measurement and Analysis of Diurnal Variations of the Geomagnetic Field Supervisor: Dr Louis Zammit Mangion/ Dr Godwin Debono Abstract: The project will involve the commissioning and use of a new proton magnetometer. The instrument will then be used to carry out a study of the diurnal variations of the Earth’s geomagnetic field. Solar radiation incident on Earth ionizes the upper regions of the atmosphere to generate sun synchronous electrical currents in the ionosphere at altitudes of 90 to 130 km. These currents generate a magnetic field of their own that combine with the main magnetic field generated in the Earth’s core and the crustal magnetic field to make up the observed geomagnetic field. As the Earth rotates westward, the electrical currents appear to drift eastward with the sun and consequently their magnetic field at a given place on Earth varies with time and has a 24 hour cycle. This variation in the geomagnetic is known as the Diurnal Variation and can be as much as 50 nT. The project involves the continuous measurement of the geomagnetic field at a location on campus for a period of 1 - 3 months. The Diurnal Variations are then isolated from the main field and analysed for their spectral characteristics. The student is also expected to review the topic. _____________________________________________________________________ 3 Project Title: Synchronisation of quantum systems Supervisor: Dr Andre` Xuereb Abstract: In 1665, Huygens noticed that two pendulum clocks placed close to each other tended to synchronise with one another. The study of synchronisation has become very important in fields as far apart as electronics and biology, and it is now being imported into quantum mechanics. Curiously, however, a proper “phase” operator is not yet known in quantum mechanics, making studies of synchronisation difficult. This project will study simple synchronisation problems. It will involve computational work and could lead to a publication in a peer-reviewed journal. _____________________________________________________________________ Project Title: A drunkard’s walk on a graph Supervisor: Dr Andre` Xuereb Abstract: Some time ago [1] we studied what would happen to a phonon (a quantum of vibration) placed on a harmonic oscillator that is interacting with many other oscillators. It turns out that the phonon “melts” and spreads itself as widely as possible in a short time. This is the opposite behaviour to what is expected in typical models for conduction, where the phonon propagates from one point in space to the next. The aim of this project is to consider more generic interactions, and to understand whether quantum coherence can be used to speed up or slow down the flow of heat. This project will involve computational work and could lead to a publication in a peer-reviewed journal. http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.13360 4 _____________________________________________________________________ Project Title: Setting up an optical tweezers Supervisor: Dr Andre` Xuereb/ Dr Louis Zammit Mangion Abstract: The Department of Physics recently upgraded its optics facilities to include a stateoftheart optics table, an optical tweezers, a spatial light modulator, and a highpower laser. This project will consist in setting up Malta’s first optical tweezers experiment [1]. After constructing this tweezers, you will be able to explore and measure the Brownian motion of visible particles suspended in a liquid. It is intended to also explore the viability of using this optical tweezers to measure geological noise. https://www.youtube.com/watch?v=ju6wENPtXu8 _____________________________________________________________________ 4 Project Title: Measurement of complex permittivity of tissue mimicking solutions from 5 GHz to 67 GHz Supervisor: Co-supervisor: Dr Lourdes Farrugia Prof Charles V Sammut Abstract: In this project, the student will use a newly-acquired open-ended coaxial probe to measure the complex relative permittivity of sodium chloride from 5 GHz to 67 GHz. The current method to estimate the measurement uncertainty will be studied and characterized for this particular measurement system. There is scope for investigating the behaviour of these physical properties with temperature and chemical composition. Also, the measured data together with previously measured data from 500 MHz to 40 GHz will enable comparison between different probes and possibly establish a wideband frequency model characterising the permittivity from 10 MHz up to 67 GHz. This project is a continuation of an undergraduate project started during the acadmic year 2015/2016 where the dielectric properties of the same solutions were measured from 100MHz to to 3 GHz, using a new open-ended coaxial probe covering this frequency range. Requirements/Suitability: Laboratory skills are essential, as is an understanding of vector network analysis (to be acquired as part of the project). A basic understanding of complex permittivity and the associated measurement techniques are essential. _____________________________________________________________________ Project Title: Permittivity measurements for determing the sugar and salt content in liquids. Supervisor: Co-supervisor: Prof Charles V Sammut Dr Lourdes Farrugia Abstract: Monitoring the glucose levels of food during manufacturing is one of the routine tests required for quality control. Recently, new research in the Electromagnetics Laboaroty has revealed that glucose levels influence mainly the dielectric constant (real part of permittivity) while salt content change significantly the loss factor (imaginary part of permittivity). In this project, the student will be investigating the complex permittivity of different water, sugar and salt solutions to assess the potential of using permittivity measurements for determining the glucose and salt content in liquids. 5 This project is a pilot study which can possibly be used in preparation for a M.Sc. research project, in collaboration with industry. Requirements/Suitability: Laboratory skills are essential, as is an understanding of vector network analysis (to be acquired as part of the project). A basic understanding of complex permittivity and the associated measurement techniques are essential. _____________________________________________________________________ Project Title: Determining the permittivity of a two-layer material. Supervisor: Co-supervisor: Dr Lourdes Farrugia Prof Alfred Micallef Abstract: Measurement of the permittivity of biological materials very often involves layered structure of biological tissue such as skin and fat. In this project, the student will be testing an analytical expression of an open-ended coaxial probe in contact with two-layered materials. Open-ended coaxial probes are usually used to measure the reflection coefficient from a homogenous material, which is then converted to the permittivity using an analytical solution for the probe. The analytical problem to be solved requires three calibration parameters which to be determined using experimental data on a short circuit, deionised water and standard saline solution. The measurements on the test solution will be determined and compared to previously published data. This is a pilot study, which can possibly be used in preparation for an M.Sc research project. Requirements/Suitability: It is encouraged that this project is taken by students interested in both experimental and analytical analysis. A basic understanding of complex permittivity and the associated measurement techniques are essential but all the required training will be given. _____________________________________________________________________ Project Title: Permittivity measurements using open-ended waveguide. Supervisor: Co-supervisor: Dr Lourdes Farrugia Prof Alfred Micallef Abstract: Conventional waveguide methods for measuring the complex permittivity of materials require extensive sample preparation, which can result in sample contamination. In this project, the student will investigate the use of open-ended waveguides to determine the complex permittivity of lossy dielectrics. The reflection coefficient of tissue mimicking solutions, prepared using glucose, sodium chloride and agar-agar will be measured and then 6 the dielectric properties are to be calculated using an optimisation technique with electromagnetic software(CST). Requirements/Suitability: It is encouraged that this project is taken by students interested in both experimental and numerical analysis.The use of electromagnetic software (eg. CST/HFSS) is required and all the necessary training will be provided. _____________________________________________________________________ Project Title: Obtaining variable star light curves with a view to charecterising equipment feasibility for future time series photometric studies Supervisor: Dr Joseph Caruana Abstract: This project consists of undertaking CCD photometry of a number of variable stars, with the aim of assessing the feasibility of the currently available equipment setup (consisting of a Meade 20.3cm-aperture Schmidt Cassegrain telescope and Meade DSI PRO III) in undertaking future time series observations. The student will learn the basics of data management & reduction and photometric techniques. Due to the nature of the project, the student is expected to spend considerable time collecting data during night hours. _____________________________________________________________________ Project Title: Gravitational Wave detection Supervisor: Prof Kristian Zarb Adami Abstract: In this project the student will study and simulate how gravitational waves are created through the merger of black holes and the ring-down of neutron stars. The student will then go on to simulate how these gravitational waves would be measured using existing experiments such as LIGO and VIRGO, but more importantly will produce experimental forecasts of gravitational wave detection with LISA. _____________________________________________________________________ Project Title: Cubesat antenna design for Low-Frequency Radio Astronomy Supervisor: Prof Kristian Zarb Adami Abstract: In this project, the student will design a low-frequency telescopic antenna (5-50MHz), designed to fit within a cubesat envelope (10cm x 10cm x 10cm) in order to be deployed in a Low Earth Orbit. The student will carry out electromagnetic modelling of the antenna using HFSS and/or CST and depending on the time available will be able to produce a prototype of the antenna. _____________________________________________________________________ 7 Project Title: Space-based Interferometry Supervisor: Prof Kristian Zarb Adami Abstract: In this project, the student will design and interferometer based on cubesat technology. The student will work out what the orbital parameters of the baselines will look like and what fields can be observed with such an interferometer. Using standard simulation tools, the student should be able to produce forecasts of Epoch of Reionisation detection and this project should end with a proposal for a space-based low-frequency interferometer. _____________________________________________________________________ Project Title: Expansion Parameters in Alternative Theories of Gravity Supervisor: Dr Jackson Said Co-supervisor: Prof Kristian Zarb Adami Abstract: Looking out in the night sky what one observes is a series of cross sections through the history of the Universe. This is due to the finiteness of the speed of light. Thus such observations give a picture of the expansion history up to early times. Before this ‘barrier’ the cosmos was far too dense for light to move freely. However the dynamics of this early Universe did leave an imprint in the so-called cosmic microwave background radiation. Conversely at late times in the Universe’s history it appears to be dominated by the exotic dark energy which principally should dominate over the Universe’s mass-energy budget. This project will involve looking into the expansion state parameters of the Universe in alternative theories of gravity with the aim of reproducing accelerated expansion in late times without the need of dark energy. _____________________________________________________________________ Project Title: Stellar tests of Alternative Theories of Gravity Supervisor: Dr Jackson Said Co-supervisor: Prof Kristian Zarb Adami Abstract: Einstein gravity was first proposed in order to incorporate the special theory of relativity into gravitational systems. The first tests of his theory were all in the solar system which is the scale at which it was clear that this theory was already better than Newton’s theory of gravity. Recently a large number of alternative theories of gravity have been proposed to account for cosmological dynamics as well as principle problems within Einstein’s theory of gravity. Following the four classical tests of general relativity this 8 project involves identifying a potential candidate theory of gravity that behaves well at cosmological scales and testing it at lower scales within stellar systems. This would mean testing a theory against light deflection, gravitational time delay, perihelion precession and gravitational redshift solar system observations. The aim would be to have a broad scale constraint on its coupling parameters. _____________________________________________________________________ Project Title: Dielectric properties of different types of rocks. Supervisor: Dr Lourdes Farrugia Co-supervisor: Dr Sebastiano D’Amico Abstract: Proper interpretation of ground penetrating radar (GPR) images obtained requires knowledge of the dielectric properties of the constitutive materials. Dielectric permittivity contrasts underneath the subsurface causing various reflections in GPR profiles and eventually provides important information about the underlying layers. In this project, the student will conduct dielectric measurements on dry and fully saturated rocks using waveguide methods. Initially, the rocks will be dried using a loss on drying method and the correspinding permittivity and permeability of different types of rocks will be measured. Following that samples will be fully saturated with water and the dielectric measurements are measured again. This will result in a range of dielectric properties required for accurate GPR mappings. Requirements/Suitability: Laboratory skills are essential and it is encouraged that the student is highly interested in geosciences. _____________________________________________________________________ 9