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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 Marcatili's method ： ウィキペディア英語版 Marcatili's method Marcatili’s method is an approximate analytical method that describes how light propagates through rectangular dielectric optical waveguides . It was published by Enrique Marcatili in 1969. Optical dielectric waveguides guide electromagnetic waves in the optical spectrum (light). This type of waveguide consists of dielectric materials (e.g., glass, silicon, indium phosphide, etc). The core of the waveguide has a higher index of refraction than its surrounding and the light is guided due to total internal reflection. In a ray description, the light zig-zags between the walls. The geometry of the waveguide dictates the light to propagate with specific velocities and specific distributions of the electric and magnetic fields, known as modes. For rectangular waveguides, these modes cannot be computed analytically. This can be done either using a numerical mode solver, or using an approximate method such as Marcatili’s method. ==Propagation velocity of the light in the waveguide== The method can also be understood from the behavior of two planar (slab) waveguides. In his approximate method, the light zig-zags simultaneously upwards-and-downwards as well as left-and-rightwards. In a wave description, the mode is formed by a standing wave in both horizontal x-direction and vertical y-direction with wave vector ($k\_x$, $k\_y$, $\backslash beta$). The up-and-downwards zig-zag path of the light ($k\_y$) is given by a horizontal planar waveguide that is formed by the rectangular waveguide but with infinite width. The left-and-right zig-zag path ($k\_x$) is given by a vertical planar waveguide that is formed by the rectangular waveguide but with infinite height. Knowing the zig-zag paths ($k\_x$, $k\_y$) allows to compute the propagation velocity of the light in the waveguide (or equivalently, the effective refractive index). The propagation constant of the waveguide mode is then computed using: $\backslash beta\_2\; =\; k^2\; -\; k\_x^2\; -\; k\_y^2$, where $k^2$ is the wavenumber corresponding to the core material of the waveguide, $k\_x$ and $k\_y$ are the wave-numbers corresponding to the standing waves in the x- and y-direction, and beta is the wavenumber in the propagation direction of the waveguide, also known as the propagation constant. 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「Marcatili's 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.