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My research interests have been primarily in the areas of integral
and differential equations and their applications to problems in
physical sciences and engineering. More specifically, I work in the
areas of scattering theory, inverse scattering theory, and wave
propagation.
The problem of interest is the recovery of the property
of the inhomogeneous medium from the far field wave propagation data.
Such a problem appears in may applied fields, such as quantum
mechanics, geophysical exploration, medical imaging and electromagnetic
soundings, where the direct measurement of the property under
consideration is not achievable. Therefore an indirect (inverse) method
is used to deduce information about the problem.
Because of its wide reaching
applications, exact and approximate mathematical methods to study such
inverse problems and their numerical implementations have been of
special interest to me. A problem of great interest has been the
development of a practical non iterative inversion method for the three
dimensional acoustic medium.This problem has been an ongoing research
endeavor for me and some of my Ph.D. students.
My recent interests have also
included application of inverse scattering theory and wavelets to
science and engineering problems and also to investigate the
possibility of applications of these theories in human perception such
as hearing and / or image recognition.
The other very important area which I
have always found to be very challenging and rewarding is developing
effective and innovative methods to teach and present new and / or
standard educational materials to students in such a way as to motivate
and excite their imaginations, induce creative thinking and help them
reach their potentials.
In order to further facilitate the
realization of such goals, more effective use of computers, other
technical tools, and innovative educational methods in presenting
course materials are also planned to be explored and implemented.
Publications
Energy-Density Functional Approach to Fission-Cluster and AIpha- Radioactivity. M. Haque, and I. Reichstein, M.A. Hooshyar and F. B. Malik, Condensed Matter Theories 2007 - Publication
Shape and Impedance Recovery of Obstacles from Electromagnetic Scattering Data. M. A. Hooshyar and L.V. Lasater, Microwave and Optical Technology Letters, 48, 596-600 (2006). 2006 - Publication
Nuclear Fission and Cluster Radioactivity: An Energy-Density Functional Approach. M.A. Hooshyar, I. Reichstein and F.B. Malik, Springer Verlag, New York (2005). 2005 - Publication
The Method of Lines and Electromagnetic Scattering for Line Sources M.A. Hooshyar and L.V. Lasater, Microwave and Optical Technology Letters, 41, 286-290 (2004). 2004 - Publication
An Inverse Problem of Normal Incidence TE Plane-Wave Scattering and the Method of Lines. M.A. Hooshyar, Microwave and Optical Technology Letters, 35, 486-491(2002). 2002 - Publication
An Inverse Problem of Electromagnetic Scattering and the Method of Lines. M.A. Hooshyar, Microwave and Optical Technology Letters, 29, 420-426 (2001). 2001 - Publication
A semi-Classical Approximation for Two-Dimensional Scattering by Non-Separable Potentials. M.A. Hooshyar and M. Razavy, Nuovo Cimento 75B, 65-77 (1983). 2000 - Publication
Variational principles and the One-dimensional profile reconstruction. M. A. Hooshyar, J. Optical Soc. Am. 15, 1867-1876 (1998). 1998 - Publication
Awards
30 Years of Service Award - [2015]
30 Years of Service Award - [2015]
Appointments
Head The University of Texas at Dallas [1988–Present]
Professor (Tenured) The University of Texas at Dallas [1987–Present]
Associate Professor ( Tenured) The University of Texas at Dallas [1983–1987]
Research Scientist The University of Alberta, Edmonton, Alberta, Canada [1980–1983]
Professor (Tenured) Pahlavi University, Shiraz, Iran [1979–1980]
Visiting Associate Professor Indiana University, Bloomington, Indiana, U.S.A. [1976–1977]
Associate Professor (Tenured) Pahlavi University, Shiraz, Iran [1973–1979]
Assistant Professor Arya-Meher University, Tehran, Iran [1972–1973]
Assistant Professor Pahlavi University, Shiraz, Iran [1971–1972]
Postdoctoral Fellow Maryland University, College Park, Maryland, U.S.A. [1970–1971]
Additional Information
Membership in Honorary and Scientific Societies
American Mathematical Society, Acoustical Society of America and Society of Exploration Geophysicists
Professional Consulting
1984 - 1999 ARCO Oil and Gas Company, Dallas, Texas