Foundation Chair of Mathematical Sciences,
Distinguished Professor

Areas of Research

The research of Gregory A. Kriegsmann has focused on the modeling, analysis, and numerical simulations of physical problems arising in industrial and technological settings.  His studies in microwave heating of materials describe the nonlinear interaction between electromagnetic waves and materials, and the effect of cavity geometry.  His research on acoustic and electromagnetic scattering theory includes applications to radar, structural acoustics, and acoustics in flows.  His studies in circuit theory cover the design and analysis of oscillators and power supplies.  His current work is focused on microwave assisted chemical vapor infiltration, thermal patterns in microwave heating experiments, and microwave assisted ceramic sintering. 

Selected Publications

"Acoustical Scattering by Baffled Flexible Surfaces: The Discrete Optical Theorem,"  Journal of the Acoustical Society of America, Vol. 107, No.3, 2000.

"Pattern Formation in Microwave Heated Ceramic Cylinders and Slabs," IMA Journal on Applied Mathematics, Vol. 66, No. 1, 2001.

"Microwave Heating of Laminate Panels," (with Burt Tilley), Journal of Engineering Mathematics", Vol. 44, No. 2, 2002.

"Scattering Matrix Anlysis of a Photonic Fabry-Perot Resonator," Wave Motion, Vol. 37, No. 1, 2003.

"Complete Transmission Through a Two-Dimensional Diffraction Grating," SIAM Journal of Applied Mathematics, Vol. 65, No. 1, 2004.