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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 Bloch wave – MoM method ： ウィキペディア英語版 Bloch wave – MoM method Bloch wave – MoM is a technique for determining the band structure of triply periodic electromagnetic media such as photonic crystals. This technique uses the method of moments (MoM) in combination with a Bloch wave expansion of the electromagnetic field in the structure. It is based on the 3-dimensional spectral domain method (Kastner ()). This approach is very efficient in terms of the number of plane waves needed for good convergence and is analogous to the spectral domain MoM method commonly used for analyzing 2D periodic structures such as frequency selective surfaces (FSS). In the latter case, the electromagnetic field is expanded in terms of a plane wave spectrum (Scott ()). In both cases, the field is expanded in terms or a set of eigenfunction modes (either a Bloch wave in 3D or a plane wave spectrum in 2D), and an integral equation is enforced on the surface of the scatterers in each unit cell. In the FSS case, the unit cell is 2-dimensional and in the photonic crystal case, the unit cell is 3-dimensional. == Field equations for 3D PEC photonic crystal structures == For perfectly electrically conducting (PEC) structures admitting only electric current sources J, the electric field E is related to the vector magnetic potential A via the well-known relation: : $\backslash bold\; E\; ~\; =\; ~\; -j\; k\; \backslash eta\; \backslash left\; (\backslash bold\; A\; +\; \backslash frac\; \backslash nabla\; (\backslash nabla\; \backslash bullet\; \backslash bold\; A)\; \backslash right)\; ~~~~~~~~~~~~~~(1.1)$ and the vector magnetic potential is in turn related to the source currents via: : $\backslash nabla^2\; \backslash bold\; A\; +\; k^2\; \backslash bold\; A\; ~\; =\; ~\; -\backslash bold\; J\; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\; (1.2)$ where : $k^2\; ~\; =\; ~\; \backslash omega^2\; (\backslash mu\; \backslash epsilon)\; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\; (1.3)$ 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「Bloch wave – MoM 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.