Approximate expressions for Gyrosynchrotron radiation in Transverse Propagation

Physics

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Scientific paper

Two sets of accurate approximate expressions for the gyrosynchrotron radiation in the transverse propagation case are presented for the first time. They contain emissivity ɛ_ν -/BN and absorptivity κ_ν -B/N for e-mode, effective temperature T_eff and frequency of peak brightness ν_p. The expressions are designed for the range 2 to 7 of electron energy spectral index δ and for the ranges from 2 to 10 and 10 to 100 of harmonic numbers s(=ν/ν_B). Their statistical error is, respectively, +/-18% and +/-29% for ɛ_ν -/BN and κ_ν -B/N for 10<=ν/ν_B<=100, +/-128% and and +/-170% for 2<=ν/ν_B<=10.

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