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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク T-matrix method ： ウィキペディア英語版 T-matrix method The T-matrix method is a computational technique of light scattering by nonspherical particles originally formulated by P. C. Waterman (1928-2012) in 1965.〔Waterman, P. C. "Matrix formulation of electromagnetic scattering." Proceedings of the IEEE 53, 805-812 (1965).〕 The technique is also known as null field method and extended boundary technique method (EBCM). 〔M. I. Mishchenko, L. D. Travis, and D. W. Mackowski, T-matrix computations of light scattering by nonspherical particles: A review, J. Quant. Spectrosc. Radiat. Transfer, 55, 535-575 (1996).〕 In the method, matrix elements are obtained by matching boundary conditions for solutions of Maxwell equations. == Definition of the T-Matrix == The incident and scattered electric field are expanded into spherical vector wave functions (SVWF), which are also encountered in Mie scattering. They are the fundamental solutions of the vector Helmholtz equation and can be generated from the scalar fundamental solutions in spherical coordinates, the spherical Bessel functions of the first kind and the spherical Hankel Functions. Accordingly, there are two linearly independent sets of solutions denoted as $\backslash mathbf^1,\backslash mathbf^1$ and $\backslash mathbf^3,\backslash mathbf^3$, respectively. They are also called regular and propagating SVWFs, respectively. With this, we can write the incident field as $\backslash mathbf\_=\; \backslash sum\_^\backslash infty\; \backslash sum\_^n\; a\_\; \backslash mathbf^1\_+\; b\_\; \backslash mathbf^1\_.$ The scattered field is expanded into radiating SVWFs: $\backslash mathbf\_=\; \backslash sum\_^\backslash infty\; \backslash sum\_^n\; f\_\; \backslash mathbf^3\_+\; g\_\; \backslash mathbf^3\_.$ The T-Matrix relates the expansion coefficients of the incident field to those of the scattered field. $\backslash begin\; a\_\backslash \backslash \; b\_\backslash end\; =\; T\; \backslash begin\; f\_\; \backslash \backslash \; g\_\; \backslash end$ The T-Matrix is determined by the scatterer shape and material and for given incident field allows to calculate the scattered field. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「T-matrix method」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.