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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 Ruze's Equation ： ウィキペディア英語版 Ruze's Equation Ruze's Equation is an equation relating the gain of an antenna to the RMS of the random surface errors. The equation is applicable to parabolic reflector and antennas, and recently extended to phased arrays. The equation is named after John Ruze who introduced the equation in a paper he wrote in 1952. The equation states that the antenna's gain is inversely proportional to the exponential of the square of the RMS surface errors. Mathematically, the equation for parabolic reflector antennas can be expressed as: $G\backslash left(\backslash epsilon\backslash right)=G\_0\backslash ,\backslash ,\; e^\backslash right)^2\}$ where $\backslash displaystyle\backslash epsilon$ is the surface RMS errors of the reflector, $\backslash displaystyle\backslash lambda$ is the wavelength, and $\backslash displaystyle\; G\_0$ is the gain of the antenna in the absence of surface errors. The equation is often expressed in decibels as: $G\backslash left(\backslash epsilon\backslash right)=G\_0\backslash ,-\backslash ,\; 685.81\; \backslash left(\backslash frac\backslash right)^2$ (dB) where $-685.81=10\backslash log\_\backslash left(e^^2\}\backslash right)$ ==Application to phased array== Ruze's equation, which was originally derived for parabolic reflectors has been extended to phased array applications. For phased arrays, the equation is slightly modified, differing by a factor of 2 in the exponential, to give $G\backslash left(\backslash epsilon\backslash right)=G\_0\backslash ,\backslash ,\; e^\backslash right)^2\}$ The factor of 2 difference between the equation for the phased array and the equation for reflectors is that the electromagnetic wave goes in only one direction for phased arrays, but it goes back and forth in reflectors (the wave is reflected). Consequently, when expressed in dB, Ruze's Equation for phased arrays has a different coefficient, namely: $G\backslash left(\backslash epsilon\backslash right)=G\_0\backslash ,-\backslash ,\; 171.45\; \backslash left(\backslash frac\backslash right)^2$ (dB) where $\backslash displaystyle\backslash epsilon$ is the RMS of the z-directed positional errors of the array elements, and as before, $\backslash displaystyle\backslash lambda$ is the wavelength. 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「Ruze's Equation」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.