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In mathematics the synchrotron functions are defined as follows (for ''x'' ≥ 0): * First synchrotron function : * Second synchrotron function : where ''K''''j'' is the modified Bessel function of the second kind. The function F(x) is shown on the right, as the output from a plot in Mathematica. == Use in Astrophysics == In astrophysics, x is usually a ratio of frequencies, that is, the frequency over a critical frequency (critical frequency is the frequency at which most synchrotron radiation is radiated). This is needed when calculating the spectra for different types of synchrotron emission. It takes a spectrum of electrons (or any charged particle) generated by a separate process (such as a power law distribution of electrons and positrons from a constant injection spectrum) and converts this to the spectrum of photons generated by the input electrons/positrons. For further information, see ''High Energy Astrophysics'', Malcolm S. Longair, CUP, 1990. 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「Synchrotron function」の詳細全文を読む スポンサード リンク
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