CURRICULUM VITAE
ANTHONY DAVID RAWLINS
(READER IN APPLIED MATHEMATICS)
DATE OF BIRTH:
16 December 1944
NATIONALITY:
British
MARITAL STATUS:
Married
CHILDREN:
Three
EDUCATION:
1964 - 1968
University of Aston in Birmingham
BSc. Hons. (First Class) in Electrical Engineering (Prize)
1968 - 1969
University of Surrey, Guildford
MSc in Applied Mathematics (with distinction)
1969 - 1972
University of Surrey, Guildford
PhD in Applied Mathematics
EMPLOYMENT HISTORY:
1972 - 1978
Research Fellow in the Mathematics Department of
Dundee University.
1978
Awarded a five year S.R.C. Special Advanced Fellowship.
1978 - 1979
Lecturer in Mathematics at University College Cork,
Ireland.
1980 - 1988
Lecturer in mathematics at Brunel University.
1988-
Reader in Applied Mathematics at Brunel University.
RESEARCH INTERESTS:
Waves, Diffraction theory, Acoustics, Electromagnetism, Complex variable theory, WienerHopf technique, Singular integral equations, asymptotic methods.
PUBLICATIONS
1.
Acoustic diffraction by an absorbing semi-infinite plane in a moving fluid. Proc. of Royal Soc. of Edinburgh
(A) 72, 30, 1973/74, pp. 337-357.
2.
A new class of Bessel function inequality useful for investigating the roots of a class of transcendental
equation involving Bessel functions. Proc. of Royal Soc. of Edinburgh (A) 72, 1974/75 pp. 231-238.
3.
Diffraction by an absorbing wedge. Journ. Sound & Vibration, 41(1975) pp. 391-393.
4.
Diffraction by a rigid screen with a soft or perfectly absorbent edge. Journ. Sound and Vibration 45
(1)(1976) pp. 53-67.
5.
Diffraction by an absorbing wedge. Journ.Sound & Vibration 47 (1976) pp. 285-286.
6.
Diffraction by a dielectric wedge. Journ.Inst.Maths and its Applications (JIMA) 19 (1977) pp. 261-279.
7.
The solution of a mixed boundary value problem in the theory of diffraction by a semi-infinite plane.
Proc.Royal Soc. of London A345 (1975) pp. 469-484.
8.
Acoustic diffraction by an absorbing semi-infinite plane in a moving fluid. II. Proc. of Royal Soc.Edinburgh
(A) 75 1975/76 pp. 83-95.
9.
Diffraction by a rigid screen with an absorbent edge. Journ. Sound & Vibration 47(4)(1976) pp. 523-541.
10.
Monotonic properties of analytic functions (with J D Morgan). Soc. Indus. & Appl. Maths (SIAM) App.
Anal. 9 (6) (1978).
11.
Diffraction of an acoustically penetrable or an electromagnetically dielectric half plane. Int. Journ. Eng. Sci.
15 (1977) pp. 569-578.
12.
The engine over-the wing noise problem. Journ. Sound & Vibration 50 (4) (1977) pp. 553-569.
13.
Radiation of sound from an unflanged rigid cylindrical duct with an acoustically absorbing internal surface.
Proc. of Royal Soc. London A362 (1978) pp. 65-91.
14.
A Bessel function inequality. Proc. of Royal Soc. of Edinburgh 81A (1978) pp. 1187-1194.
15.
Simultaneous Wiener-Hopf equations. Canadian Journ. Physics 58 (1980) pp. 420-428.
16.
A note on the factorisation of matrices occurring in Wiener-Hopf problems. IEEE Trans. AP-28 (1980) 933934.
17.
Matrix Wiener-Hopf factorisation (with W.E. Williams). Quart. Journ. Mech and App. Maths. 34 (1)(1981)
pp. 1-8.
18.
Note on a paper by Liu on the scattering of water waves by a pair of semi-infinite barriers. Trans. of the
A.S.M.E. Journ. Appl. Mech 103 (3) (1981) p.656.
19.
The explicit Wiener-Hopf factorisation of a special matrix. Z.A.M.M. 61 (10)(1981) pp. 527-528.
20.
The edge field behaviour for the problem of diffraction of a line source by a soft/hard plane. Z.A.M.M. 63
(1983) pp. 211-212.
21.
Note on a result of Morse & Bolt.
Journ. Sound & Vibration (1983) 89 (3) pp. 365-369.
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22.
The field of a spherical wave reflected from a plane absorbent surface expressed in terms of an infinite review
of Legendre Polynomials. Journ. Sound & Vibration (1983) 89 (3) pp. 365-363.
23.
Two Legendre Polynomial Identities. (Problem) S.I.A.M. Rev 25 (4) (1983) p. 569.
24.
The solution of a mixed boundary value problem in the theory of diffraction. Journ. Eng. Math. 18 (1984) pp.
37-62.
25.
Two Legendre Polynomial Identities (Solution). S.I.A.M. Rev. 26 (4)(1984) pp. 82-84.
26.
The capacitance of two closely separated spheres. J.I.M.A. 34(1985) pp. 119-120.
27.
A note on Wiener-Hopf matrix factorisation. Q.J.M.A.M 38 (1985) pp. 433-437.
28.
Matrix Wiener-Hopf-Hilbert factorisation. S.I.A.M. Journ. App. Math. 46 (1)(1986) pp. 133-139.
29.
Roots of a Bessel function equation (Problem) S.I.A.M. Review 28 (2)(1986) pp. 232-233.
30.
31.
Plane wave diffraction by a rational wedge. Proc. Roy. Soc. Lon. A411 (1987) pp. 2675-2683.
Cylindrical wave diffraction by a rational wedge. Proc. Roy. Soc. Lon. A411 (1987) pp. 285-303.
32.
Roots of a Bessel function equation (Solution). S.I.A.M. Review 29 (2)(1987) pp. 301-302.
33.
Matrix Wiener-Hopf problems. Journ. Sound & Vibration, 124 (3) (1988) p.583.
34.
A complex modulus inequality. Math. Gaz. 72 (1989) pp. 309-310.
35. A Green's function for diffraction by a rational wedge. Math. Proc. Camb. Phil. Soc. 105 (1989)
Pp.185-192
36.
Note on the roots of J0(z) - iJ1(z). Quart.App.Math. 47 (1989) pp. 323-324.
37.
Spherical wave diffraction by a rational wedge. Proc.Royal Irish Acad. 89A (1989) pp. 235-253.
38.
Diffraction of an E or H-polarised electromagnetic plane wave by a right angle wedge with imperfectly
conducting faces. Quart. Journ. Mech. App. Math. 43 (1990) pp. 161-172.
39.
A note on the calculus of Variations. Int. J. Math. Educ. Sci. Technol. 22 (1)(1991) pp. 158-160.
40.
Diffraction by an acoustically transmissive or an electromagnetically dielectric half plane (with E Meister and
F -O Speck. Math. Meth. in the Appl. Sciences 14 (1991) pp. 387-402.
41.
A note on the Polynomial diagonalization and Wiener-Hopf Factorization of 2 x 2 matrices. Z.A.M.M. 72
(1992) pp. 373-375.
42.
Double Knife problem with Elastic/Plastic type screen (with E Meister and F -O Speck) Proceedings of
conference on Wiener-Hopf Operators (held at Oberwolfach, December 1989).
Int. Equ. and Oper. Theor. (IEOT) 14 (1991) pp. 374-389.
43.
Scattering of water waves by a pair of semi-infinite barriers (with P. McIver). ASME J. Appl. Mech. 46
(1993) 88-116.
44.
The Wiener-Hopf technique. Bull I.M.A. 29 (1993)(7/8) pp. 102-105.
45.
Two-dimensional wave-scattering problems involving parallel-walled ducts (with P McIver). Quart. Jour.
Mech. App. Math. 46 (1993) pp. 89-116.
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46.
A note on the Euler-Maclaurin Sum formula. Z.A.M.M. 75 (1995) 481-483.
47.
A bifurcated waveguide problem. J.I.M.A. 54 (1995) 59-81.
48.
A note on the Golden Ratio. Math. Gaz. 79 (1995) 104.
The changing shape of geometry. C.U.P. 2003,308-309
49.
Diffraction by a rigid barrier with a soft or perfectly absorbent end face (with P.McIver). Wave Motion . 22
(1995) 387-402.
50. A note on the zeros of Legendre functions. Revista Tecnica. 19 (1996) 91-92.
51. Two trifurcated waveguide problems solved exactly by matrix Wiener-Hopf factorization. Direct and inverse
electromagnetic scattering. (editors:A H Hamit and S R Cloude) Pitman research notes in mathematics. 301
(1996) 82-88.
52. Two trifurcated waveguide problems Math. Proc. Camb. Phil. Soc. 121 (1997) 555-573.
53. Radiation from a two dimensional duct (with Mahmood-ul-Hassan). Can. Jour. Physics. 1 (1997) 375-384.
54. Sound radiation in a planar trifurcated lined duct (with Mahmood-ul-Hassan). Wave Motion. 29 (1999) 157174.
55. Two waveguide problems with convective fluid flow. (With Mahmood-ul-Hassan). Jour.Sound Vibr. 216 (4)
(1998) 713-738
56. Diffraction by a semi-infinite thick half plane with an absorbent end face (with P.McIver). Proc. R. Soc. Lon.
A452 (1998) 3167-3182
57. Acoustic diffraction by a semi-infinite plane with different face impedances.(with P Barton) Quart.Jour.Mech.
Appl. Maths. 52 (1999) 469-487
58. Diffraction by, or diffusion into a penetrable wedge. Proc. R. Soc. Lon.
A445 (1999) 2655-2686
59
Wave propagation in a waveguide (with M-u-Hassan) Z.A.M.M. 83 (2003) 333-343
60
A note on point source diffraction by a wedge. Journal of applied mathematics. 1 (2004) 85-89
61
Diffraction by an half-plane in a moving fluid . Quart.Jour.Mech. Appl. Maths.58(2005) 459-479.
62
The optimum orientation of an absorbing barrier. Proc. R. Soc. Lon.. A461 (2005) 2369-2383.
63
Boundary condition modelling for a thin transmissive media. Journ. Sound & Vibration (submitted 2005)
64 An interative approach to scattering by edges and wedges. Wave Motion 44(2007) 176-20
65 Wave propagation in a bifurcated impedance lined cylindrical duct.. Jour. Eng Maths(accepted 2007)
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BRUNEL UNIVERSITY INTERNAL REPORTS
1.
A note on Wiener-Hopf matrix factorisation. Brunel University Report TR/11/83.
2.
Matrix Wiener-Hopf factorisation. Brunel University Report TR/03/84.
3.
Matrix Wiener-Hopf factorisation II. Brunel University Report TR/18/84.
4.
Plane wave diffraction by a rational wedge. Brunel University Report TR/07/86.
5.
Cylindrical wave diffraction by a rational wedge. Brunel University Report TR/08/86.
6.
Spherical wave diffraction by a rational wedge. Brunel University Report TR/09/86.
7.
A Green's function for diffraction by a rational wedge. Brunel University Report TR/14/86.
8.
Diffraction by an acoustically penetrable or an electromagnetically dielectric half plane II.
Brunel University Report TR/08/89.
9.
A note on polynomial diagonalization and Wiener-Hopf factorization of 2 x 2 matrices. Brunel University
Report TR/09.89.
10.
A note on the Euler-Maclaurin sum formula TR/01/93.
11.
A trifurcated waveguide problem. Brunel University Report TR/08/94.
12.
A trifurcated waveguide problem II. Brunel University Report TR/09/94.
13. A note on the diffraction by a semi-infinite thick half plane, and a semi-infinite cylindrical rod with an
absorbent end face. Brunel University Report TR/07/94.
14. Diffraction by, or diffusion into a penetrable wedge. Brunel University Report TR/21/97.
15.
Diffraction by two impedance half planes. Brunel University Report TR/3/98.
16.
An interactive Approach to scattering by Edges and wedges. Brunel University Report TR/01/05.
17.
Boundary condition modelling for a thin transmissive media. Brunel University Report TR/02/05.
PUBLISHED CONFERENCE PROCEEDINGS
Euromech Colloquium. Vibro-Acoustics and Flow-Structure Interactions 19-23 April 1999 Cargese (Corsica)
Analytic methods for solving acoustic problems. (Invited plenary presentation) 147-192
LISBON UNIVERSITY REPORTS
1.
Double-Knife Edge Problems with Elastic/Plastic Type screens (with E Meister, F -O Speck. Report Prep.
M.A.C. 1/1990 Dept. of Math. Universidade Tnica de Lisboa, Portugal.
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