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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 Acceleration voltage ： ウィキペディア英語版 Acceleration voltage In accelerator physics, the term acceleration voltage means the effective voltage surpassed by a charged particle along a defined straight line. If not specified further, the term is likely to refer to the ''longitudinal effective acceleration voltage'' $V\_\backslash parallel$. The acceleration voltage is an important quantity for the design of microwave cavities for particle accelerators. See also shunt impedance. For the special case of an electrostatic field that is surpassed by a particle, the acceleration voltage is directly given by integrating the electric field along its path. The following considerations are generalized for time-dependent fields. == Longitudinal voltage == The longitudinal effective acceleration voltage is given by the kinetic energy gain experienced by a particle with velocity $\backslash beta\; c$ along a defined straight path (path integral of the longitudinal Lorentz forces) divided by its charge,〔 $V\_\backslash parallel(\backslash beta)\; =\; \backslash frac\; 1\; q\; \backslash vec\; e\_s\; \backslash cdot\; \backslash int\; \backslash vec\; F\_L(s,t)\; \backslash ,\backslash mathrms\; =\; \backslash frac\; 1\; q\; \backslash vec\; e\_s\; \backslash cdot\; \backslash int\; \backslash vec\; F\_L(s,\; t\; =\; \backslash frac)\; \backslash ,\backslash mathrm\; d\; s$. For resonant structures, e.g. SRF cavities, this may be expressed as a Fourier integral, because the fields $\backslash vec\; E,\backslash vec\; B$, and the resulting Lorentz force $\backslash vec\; F\_L$, are proportional to $\backslash exp(i\; \backslash omega\; t)$ (eigenmodes) $V\_\backslash parallel(\backslash beta)\; =\; \backslash frac\; \backslash vec\; e\_s\; \backslash cdot\; \backslash int\; \backslash vec\; F\_L(s)\; \backslash exp\backslash left(i\; \backslash frac\; s\backslash right)\backslash ,\backslash mathrm\; d\; s\; =\; \backslash frac\; \backslash vec\; e\_s\; \backslash cdot\; \backslash int\; \backslash vec\; F\_L(s)\; \backslash exp\backslash left(i\; k\_\backslash beta\; s\backslash right)\backslash ,\backslash mathrm\; d\; s$ with $k\_\backslash beta\; =\; \backslash frac$ Since the particles kinetic energy can only be changed by electric fields, this reduces to $V\_\backslash parallel(\backslash beta)\; =\; \backslash int\; E\_s(s)\; \backslash exp\backslash left(i\; k\_\backslash beta\; s\backslash right)\backslash ,\backslash mathrm\; d\; s$ 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「Acceleration voltage」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.