Steve Turley's Computational Physics Research
Most electromagnetic wave propagation problems of practical interest
cannot be solved analytically. When one is computing scattering or
radiation from bodies from around one to several wavelengths in size
existing approximate techniques for solving the problem fail:
multipole expansions diverge and diffraction is significant enough
that geometric or physical optics approaches are also inadequate.
Numerical integral and differential equation solutions are possible,
but their simple implementations require extraordinary amounts of
computer time and memory for some problems. My collaborators at
Hughes Research Laboratories and Yale University and I have developed
techniques for numerically solving these problems in an economical
fashion. We expect to be able to solve problems on a work station
using our techniques that are not possible on the largest
supercomputers using less sophisticated techniques.
I am looking for undergraduate and graduate students interested in
improving, implementing, and testing these algorithms. Our current
research directions include
- testing currently implemented algorithms
- developing efficient techniques for modelling induced currents in
- applying the techniques developed for scattering and radiation
for waveguide propagation and high frequency circuits
- applying electromagnetic tecniques to scattering and radiation of
scalar (acoustic) waves
These techniques have many practical applications in the areas of radar and
antenna design, modelling of high density and high speed circuits, submarine
detection, and acoustic modelling.
The problems were are currently working on in this area involve correctly accounting for surface roughness during reflection from thin films in the extreme ultraviolet. Greg Hart and I received a best paper award for this work in 2013 from the Utah Academy of Sciences, Arts and Letters. An earlier Utah Academy paper by Elise Martin describes some of our work in describing rough surfaces.
- Winzip is a windows program for computing the near and far field
intensities for acoustic scattering from spheres.
The three cases of a hard sphere, soft sphere,
and penetrable sphere are handled for homogenouis media.
- Huygens is a windows program for computing reflection from a rough surface using Huygen's Principle.