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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 Rayleigh range ： ウィキペディア英語版 Rayleigh length In optics and especially laser science, the Rayleigh length or Rayleigh range is the distance along the propagation direction of a beam from the waist to the place where the area of the cross section is doubled. A related parameter is the confocal parameter, ''b'', which is twice the Rayleigh length.〔 The Rayleigh length is particularly important when beams are modeled as Gaussian beams. ==Explanation== For a Gaussian beam propagating in free space along the $\backslash hat$ axis, the Rayleigh length is given by :$z\_\backslash mathrm\; =\; \backslash frac\; ,$ where $\backslash lambda$ is the wavelength and $w\_0$ is the beam waist, the radial size of the beam at its narrowest point. This equation and those that follow assume that the waist is not extraordinarily small; $w\_0\; \backslash ge\; 2\backslash lambda/\backslash pi$.〔Siegman (1986) p. 630.〕 The radius of the beam at a distance $z$ from the waist is :$w(z)\; =\; w\_0\; \backslash ,\; \backslash sqrt\}\; \backslash right)\}^2\; \}\; .$ The minimum value of $w(z)$ occurs at $w(0)\; =\; w\_0$, by definition. At distance $z\_\backslash mathrm$ from the beam waist, the beam radius is increased by a factor $\backslash sqrt$ and the cross sectional area by 2. 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「Rayleigh length」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.