Variational calculations of electromagnetic scattering from two randomly separated Rayleigh dielectric cylinders
JOSA, Vol. 73, Issue 3, pp. 408-410 (1983)
http://dx.doi.org/10.1364/JOSA.73.000408
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Abstract
The exact solution, Born approximation, and its variational improvement are obtained for the scattering of electromagnetic waves from two randomly separated Rayleigh dielectric cylinders. This special model is used to test a recently developed vector stochastic variational principle. The variational results are shown to account accurately for the geometric polarizability of the cylinders as well as for multiple scattering and interference.
© 1983 Optical Society of America
Citation
J. A. Krill, R. H. Andreo, and R. A. Farrell, "Variational calculations of electromagnetic scattering from two randomly separated Rayleigh dielectric cylinders," J. Opt. Soc. Am. 73, 408-410 (1983)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-73-3-408
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References
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- The variationally invariant approximation for the small packing density limit of the many-Rayleigh-cylinder model is of the same form as the two-cylinder case (i.e., the N = 2 case), except that factors of 1/N go to zero instead of to 0.5 (as was also found^{7} for the hemicylinder case). Our studies of trial function effects^{5,18} suggest that the plane-wave Born trial field should give accurate results for ka ≲ 1. We do not present the many-cylinder results because the purpose of this study was to demonstrate that variational calculations with simple trial field can account for polarization effects, and we do not have an exact solution for the many-cylinder model.
- J. A. Krill, R. H. Andreo, and R. A. Farrell, "Calculational procedures for variational, Born, and exact solutions for electromagnetic scattering from two randomly separated dielectric Rayleigh cylinders," JHU/APL Tech. Rep. (Johns Hopkins University, Laurel, Md., 1983).
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- This result can also be obtained using the theory of distribution or generalized functions as discussed inJ. J. H. Wang, "A unified and consistent view on the singularities of the electric dyadic Green's function in the source region," IEEE Trans. Antennas Propag. AP-30, 463–468 (1982).
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