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Impedance (accelerator physics)
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Impedance (accelerator physics) : ウィキペディア英語版
Impedance (accelerator physics)
Impedance in Accelerator Physics is a quantity that characterizes the self interaction of a charged particle beam, mediated by the beam environment, such as the vacuum chamber, RF cavities, and other elements encountered along the accelerator or storage ring.
==Definition in terms of wakefunction==
The impedance is defined as the Fourier transform of the Wakefunction. 〔 A. Chao, Physics of Collective Beam Instabilities in High Energy Accelerators, Wiley Publishers, 1993. Available (here ).〕
Z_0^(\omega) = \int_^\frace^W_0^'(z)
From this expression and the fact that the wake function is real, one can derive the property:
Z^(\omega) = Z^(-\omega)

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