• Chin-Yuan Hsieh


light backscatter, integral equation model, polarization, depolarization


In the study of wave scattering from terrain, ice, sea water, and other features on the earth surfaces, the use of the integral equation method for the backscattering coefficient from the tangential surface field leads to solutions that are valid over a broad range of roughness scale. A model presented in this paper method provides a new method for describing the characteristics of depolarization backscatter from inhomogeneous dielectric rough surfaces. The model developed for the backscatter coefficient from two-dimensional random rough surfaces characterized by the Gaussian surface height spectral density function is based upon the integral equation model. The existing model can not predict the scattering behavior of scatter and rescatter waves from random rough surfaces for ignoring the phase term of Green's function. In this paper we discriminate the scattering coefficient into two terms on the scattering direction and finally compare the model prediction with the measured data. The model prediction results in excellent agreement with the experimental measurements performed with a dual-polarized laser light backscattering measurement system. The difference between the model prediction and the measured data is within a dB


Chen, K. S., and Fung, A. K., "A Comparison Between Backscattering Models for Rough Surfaces``, IEEE Geoscience and Remote Sensing, 1992

Chin-Yuan Hsieh, Adrian K. Fung, Giuseppe Nesti, A. Sieber and Peter Coppe, A Further Study of the IEM Surface Scattering Model, PP. 901-909, Vol. 35, N0. 4, IEEE Transactions On Geoscience and Remote Sensing, July 1997.

Poggio, A.J., and E.K. Miller, The Integral Equation Solution of Three Dimensional Scattering Problems,`` Computer Techniques for Electromagnetics, Pergamon, New York, Chapter 4, 1973.

Brown, G. S., Backscattering From a Gaussian-distributed Perfectly Conducting Surface, IEEE Trans. Antennas Propagation, AP-26(3), pp.472-482, 1978.

DeSanto, J. A., and Brown, G. S., "Analytical techniques for multiple scattering from rough surfaces`` in Progress in Optics XXIII, E. Wolf, Ed. Elsevier Science Publishers B. V., 1986.

Fung, A. K., Microwave Scattering and Emission Models and Their Applications, Artech House, Boston, 1994.

Fung, A. K. and Eom, H. J., "Multiple scattering and depolarization by a randomly rough Kirchhoff surface," IEEE Trans. Antennas Propagation, vol. AP-29, no. 3, May 1981.

Fung, A. K., and Pan, G. W., ``A Scattering model for perfectly conducting random surfaces, Integral equation model development,`` International Journal of Remote Sensing, Vol. 8, no. 11, pp. 1579-1593, 1987.

Fung, A. K., Li, Z., and Chen, K. S., ``Backscattering from a randomly rough dielectric surface,`` IEEE Transactions on Geoscience and Remote Sensing, Vol. 30, No. 2, pp. 356- 369, 1992.

Garcia, N., V. Celli and M. Nieto-Vesperinas, "Exact Multiple Scattering of Waves from Random Rough Surfaces,`` Optics Communications, Vol. 30, pp. 279–281, 1979.

Ishimaru, A., and J.S. Chen, "Scattering from Very Rough Surfaces Based on the Modified Second-Order Kirchhoff Approximation with Angular and Propagation Shadowing,`` JASA, Vol. 88, pp. 1877-1883, 1990

Ishimaru, A., and J.S. Chen, "Scattering from Very Rough Metallic and Dielectric Surfaces: A Theory Based on the Modified Kirchhoff Approximation,`` Waves in Random Media, Vol. 1, no. 1, pp. 21–34, 1991.

Ishimaru, A., Le, C., Kuga, Y., Lynn, A. S., and Chan, T. K., "Polarimetric Scattering Theory for High Slope Rough Surfaces,`` in PIER 14 EM Scattering By Rough Surfaces and Random Media, EMW Publishing, Cambridge, MA., 1996.

Li, Z., and A.K. Fung, "A Reformulation of the Surface Field Integral Equation,`` Journal of Electromagnetic Waves and Application, Vol. 5, pp. 195–203, 1991.

O'Donnell, K.O., and E.R.Mendez, "Experimental Study of Scattering from Characterized Random Surface,`` J. Opt. Soc Am., Vol. A4, p. 1194, 1987.

Pan, G. W. And A. K. Fung, ``A scattering model for perfectly conducting random surfaces, I. Range of validity,`` International Journal of Remote Sensing, Vol. 8, no. 11, pp. 1595-1605, 1987.

Tsang, L., Kong, J. A. and Shin, R. T., "Theory of Microwave Remote Sensing.`` New York, Wiley Interscience, 1985.

Ulaby, F. T., Moore, R. K., and Fung, A. K., Microwave Remote Sensing: Active and Passive, Chapter 12, Vol. 2, Artech House, Norwood, MA, 1982.

Phu, P., Ishimaru, A., and Kuga, Y., "Controlled Millimeter Wave Experiments and Numerical Simulations on the Enhanced Backscattering from One-dimensional Very Rough Surfaces,`` Radio Science, vol. 28, no. 4, pp.533-548, 1993.

J. Wilhelmi, W. T. Mayo, and J. W. Rouse, Jr., Laser and Unconven, Optics J., vol. 43, PP. 3, 1973.

Backscatter Optical and Microwave Cross Sections for Surfaces Characterized by Pearson- Moskowitz Spectral Density Functions- Full Wave Approach, E. Bahar and Bom Son Lee, Optical society, pp.88-90, 1996

Smith, R. G., "Geometrical shadowing of a randomly rough surfaces," IEEE Trans. Antennas Propagat., vol. AP-15, pp. 668-671, 1971.




How to Cite

Chin-Yuan Hsieh. (2000). DEPOLARIZATION OF OPTIC WAVE BACKSCATTERING FROM DIELECTRIC ROUGH SURFACES. Journal of Microwaves, Optoelectronics and Electromagnetic Applications (JMOe), 2(1), 14-29. Retrieved from



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