Abstract
Starting from the basic integral equation for multiple scattered fields, a set of coupled linear equations for the expansion coefficients of elastic multiple scattered fields by randomly distributed spherical scatterers has been derived by using the expansions of the fields and the translational addition theorems of vector spherical wave functions. Thus, a new theory for this kind of problems is developed. Different from the others, this theory gives the multiple elastically scattered fields in all space regions.
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References
M. Lax,Rev. Modern Phys.,23 (1951), 287;Phys. Rev.,85 (1952), 621.
P. M. Morse, H. Feshbach, Methods of Theoretical Physiscs, Part I and II, Mcgraw-Hill Book Company, New York, 1953.
H. C. Van de Hulst, Light Scattering by Small Particles, John Wiley and Sons Inc. Company, New York, 1957, Chap. 1.
V. Twersky, eightsl J. Math. Phys.,3 (1962), 700; J. Math. Phys.,8(1967), 589;J. Opt. Soc. Am.,73(1983), 313.
M. Kerker, The Scattering of Light and Other Electromagnetic Radiation, Academic Press, New York, 1969.
A. Ishimaru, Wave Propagation and Scattering in Random Media, Academic Press, New York, 1978.
H. c. Van de Hulst, Multiple Light Scattering, Vol. 1 and 2, Academic Pless, New York, 1980.
B. Friedman, J. Russek,Quart. Appl. Math.,12 (1954), 13.
S. Stein,Quart. Appl. Math.,19 (1961), 15.
O. R. Cruzan,Quart. Appl. Math.,20 (1962), 33.
Z. L. Wang, W. G. Lin,Microwave Opt. Tech. Ltt,1 (1988), 380.
Z. L. Wang, W. g. Lin,Microwave Opt. Tech. Ltt,1 (1988), 179.
J. A. Stratton, Electromagnetic Theory, McGraw-Hill Book Company, New York, 1941, Chap. 7.
A. R. Edmonds, Angular Momentum in Quantum Mechanics, Princeton University Press, Princeton, N. J., 1957, Chap. 4.
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zhiliang, W., Hau, J. Elastic multiple scattering by randomly distributed spherical scatterers. J. of Electron.(China) 7, 347–355 (1990). https://doi.org/10.1007/BF02892758
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DOI: https://doi.org/10.1007/BF02892758