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Figure 6.2.6 Backscattering cross section as a function of incident angle. The frequency is
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(6.2.139) where the argument of the function <I> is the same as in (6.2.138). We illustrate the numerical results for the correlation function
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2.3 Active Remote Sensing of Random Media
In Fig. 6.2.6, we plot, as a function of incident angle, the backscattering cross section (J {3a = 1{3a (()s = Oi, </>s = 7r + </>i) cos ()i. It is noted from (6.2.139) that (Jhv = (Jvh = 0 in the backscattering direction so that depolarization is absent. We see from Fig. 6.2.6 that (J decreases as Oi increases. In this case, (Jvv is slightly larger than (Jhh because the transmissivity of vertically polarized waves at the interface is larger.
6 SINGLE SCATTERING AND APPLICATIONS
REFERENCES AND ADDITIONAL READINGS
Barber, B. C. (1985), Review article: Theory of digital imaging for orbital synthetic aperture radar, Int. J. Remote Sens., 6, 1009-1057. Born, M. and E. Wolf (1975), Principles of Optics, 5th edition, Pergamon Press, New York. Feng, S., C. Kane, P. A. Lee, and A. D. Stone (1988), Correlations and fluctuations of coherent wave transmission through disordered media, Phys. Rev. Lett., 61, 834-837. Freud, 1., M. Rosenbluh, and S. Feng (1988), Memory effects in propagation of optical wave through disordered media, Phys. Rev. Lett., 61, 2328-2331. Graham, R. C. (1974), Synthetic interferometer radar for topographic mapping, Proc. IEEE, 62, 763-768. Hansen, J. P. and I. R. McDonald (1986), Theory of Simple Liquids, Academic Press, New York. Hovanessian, S. A. (1980), Introduction to Synthetic Array and Imaging Radars, Artech House, Dedham, MA. Jakowatz, Jr., C. V., D. E. Wahl, P. H. Eichel, D. C. Ghiglia, and P. A. Thompson (1996), Spotlight-mode Synthetic Aperture Radar: A Signal Processing Approach, Kluwer Academic, Boston. Kawanishi, T., A. L. Wang, and M. Izutsu (1999), Conjugate memory effect of random scattered waves, J. Opt. Soc. Am. A, 16, 1342-1349. Levanon, N. (1988), Radar Principles, Wiley, New York. Mcquarrie, D. A. (1976), Statistical Mechanics, Harper and Row, New York. Mensa, D. L. (1981), High Resolution Radar Imaging, Artech House, Dedham, MA. Munson, D. C., J. D. O'Brien, and W. K. Jenkins (1983), A tomographic formulation of spotlight-mode synthetic aperture radar, IEEE Proc., 71, 917-925. Rodriguez, E. and J. M. Martin (1992), Theory and design of interferometric synthetic aperture radars, Proc. lEE, 139, 147-159. Skolnick, M. 1. (1980), Introduction to Radar Systems, 2nd edition, McGraw-Hill, New York. Skolnick, M. 1. (1990), Radar Handbook, 2nd edition, McGraw-Hill, New York. Soumekh, M. (1999), Synthetic Aperture Radar Signal Processing with MATLAB Algorithms, Wiley-Interscience, New York. Zebker, H. and R. Goldstein (1986), Topographic mapping from interferometric SAR observations, J. Geophys. Res., 91, 4993-4999. Zebker, H. A., S. A. Madsen, J. Martin, K. B. Wheeler, T. Miller, Y. Lou, G. Alberti, S. Vetrella, and A. Gucci (1992), The TOPSAR interferometric radar topographic mapping instrument, IEEE Tmns. Geosci. Remote Sens., 30, 933-940. Zhang, G. and L. Tsang (1997), Angular correlation function of wave scattering by a random rough surface and discrete scatterers and its application in the detection of a buried object, Waves in Random Media, 7(3), 467-478. Zhang, G. and L. Tsang (1998), Application of angular correlation function of clutter scattering and correlation imaging in target detection, IEEE Tmns. Geosci. Remote Sens., 36,1485-1493. Zhang, G., L. Tsang, and Y. Kuga (1998), Numerical studies of the detection of targets embedded in clutter by using angular correlation functions and angular correlation imaging, Microwave Opt. Technol. Lett., 17(2), 82-86. Ziman, J. M. (1979), Models of Disorder, Cambridge University Press, New York.
Scattering of Electromagnetic Waves: Theories and Applications Leung Tsang, Jin Au Kong, Kung-Hau Ding Copyright 2000 John Wiley & Sons, Inc. ISBNs: 0-471-38799-1 (Hardback); 0-471-22428-6 (Electronic)