The spectrum of nonlinear inverse Compton radiation by the method of steepest descents

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Compton Effect, Electron Scattering, Linear Polarization, Polarized Electromagnetic Radiation, Power Spectra, Steepest Descent Method, Approximation, Asymptotes, Charged Particles, Circular Polarization, Electromagnetic Scattering, Nonlinear Systems, Scattering Cross Sections, Wave Propagation

Scientific paper

An attempt is made to show that considerable information on the power spectrum of an electron driven from rest by a strong linearly polarized electromagnetic plane wave can be gained relatively easily by an appropriate application of the method of steepest descents. The pertinent power spectrum is reexamined, the method of steepest descents is applied, and an asymptotic approximation to the adopted form of the power spectrum is derived in the case of high scattered harmonics. The results are compared with those obtained for a circularly polarized wave. Possible extensions of the method to other cases of astrophysical interest are discussed.

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