Research

Wave propagation and scattering in rough surface environments (sponsored by ONR)

Summary

This project investigates the scattering from an object buried within a rough surface environment. The presence of the rough surface produces random fluctuations in the field, which are modeled by a rough surface Green’s function. The rough surface Green’s function is applicable to rough surfaces of small rms height and is based upon the modified diagram method and the second-order perturbation method. The coherent (average) Green’s function <G> is obtained by solving Dyson’s equation, which is the re-normalized perturbation expansion of Green’s theorem. The second moment of the Green’s function <GG*>, also called the Mutual Coherence Function (MCF), is obtained by solving Bethe-Salpeter’s equation under the first-order, second-order ladder and second-order cyclic theory.

Example of intensity of the scattered wave pattern in rough surface environments

Model of object (ship) on rough surface (sea)

Related publications

A. Ishimaru, J. Rockway, Y. Kuga, and S. W. Lee, "Transverse electric an transverse magnetic Green's function for coherent and incoherent propagation over a finitely conducting rough surface," Radio Science, vol. 37, no. 3, pp. 1-11, May 2002.
L. Tsang, J. Cha, and C. C. Huang, “Surface Electric Fields of Multi-layered Medium Green’s Functions and Calculation of Impedance Matrix Elements of Microstrip Structure”, IEE Proc. Microwave, Antennas and Propagation, vol. 147, no. 3, June 2000, p. 179-186.
A. Ishimaru, J. Rockway, Y. Kuga, and S. W. Lee, "Sommerfeld and Zenneck wave propagation for a finitely conducting one-dimensional rough surface," IEEE Transactions on Antennas and Propagation, vol. 48, no. 9, pp. 1475-1484, September 2000.
A. Ishimaru, J. Rockway, and Y. Kuga, "Rough surface Green's function based on the first-order modified perturbation and smoothed diagram methods," Waves in Random Meida, vol. 10, no. 1, pp. 17-31, January 2000.
A. Ishimaru, S. Jaruwatanadilok, and Y. Kuga, "Imaging and coherence in rough surface and object scattering," Aspect of rough surface scattering and related phenomena, Yountville, CA, June 25-28, 2006.
A. Ishimaru, F. D. Rockway, Y. Kuga, and S.W. Lee, "Propagation and scattering of low grazing skimming waves over conducting rough surfaces," IGARSS, Honolulu, Hawaii, July 24-28, 2000.
A. Ishimaru, "Statistical electromagnetic propagation and scattering in random media and rough surfaces," URSI APS, Salt Lake City, UT, July 16-21, 2000.

Sponsored by ONR