Wave propagation and scattering in rough surface
environments (sponsored by ONR)
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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 secondorder perturbation method. The coherent (average)
Green’s function <G> is obtained by solving Dyson’s equation, which is
the renormalized 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 BetheSalpeter’s equation under
the firstorder, secondorder ladder and secondorder 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. 111, May 2002.
 L.
Tsang, J. Cha, and C. C. Huang, “Surface Electric Fields of
Multilayered 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.
179186.
 A. Ishimaru, J. Rockway, Y.
Kuga, and S. W. Lee, "Sommerfeld
and Zenneck wave propagation for a finitely conducting
onedimensional rough surface," IEEE Transactions on Antennas
and Propagation, vol. 48, no. 9, pp. 14751484, September 2000.
 A. Ishimaru, J. Rockway, and Y.
Kuga, "Rough
surface Green's function based on the firstorder modified
perturbation and smoothed diagram methods," Waves in Random
Meida, vol. 10, no. 1, pp. 1731, 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 2528, 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 2428, 2000.
 A. Ishimaru, "Statistical
electromagnetic propagation and scattering in random media and rough
surfaces," URSI APS, Salt Lake City, UT, July 1621,
2000.
Sponsored by ONR
