Synchrotron function: Difference between revisions

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where ''K''_''j'' is the modified [[Bessel function]] of the second kind.

== Use in Astrophysicsastrophysics ==

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.

== See Also ==

https://www.bartol.udel.edu/~owocki/phys633/RadProc-RybLightman.pdf page 191

== References ==

<references />

== Further reading ==

*{{Cite book |last=Longair |first=Malcolm S. |url=https://www.worldcat.org/oclc/702125055 |title=High energy astrophysics |date=2011 |publisher=Cambridge University Press |isbn=978-0-511-93059-1 |edition=3rd |___location=Cambridge |oclc=702125055}}

*{{Cite book |last=Rybicki |first=George B. |url=https://www.bartol.udel.edu/~owocki/phys633/RadProc-RybLightman.pdf |title=Radiative processes in astrophysics |date=2004 |others=Alan P. Lightman |isbn=978-3-527-61817-0 |___location=Weinheim |pages=191 |oclc=212140606}}

[[Category:Special functions]]