Granot 2008 解析推导余辉辐射面的光度分布

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Title:		Analytic expressions for the surface brightness profile of gamma-ray burst afterglow images
Authors:		Granot, Jonathan
Affiliation:		Centre for Astrophysics Research, University of Hertfordshire, College Lane, Hatfield, Herts AL10 9AB;
Publication:		Monthly Notices of the Royal Astronomical Society: Letters, Volume 390, Issue 1, pp. L46-L50. (MNRAS Homepage)
Publication Date:		10/2008
Origin:		MNRAS
MNRAS Keywords:		radiation mechanisms: non-thermal , relativity , shock waves , gamma-rays: bursts
Abstract Copyright:		(c) Journal compilation © 2008 RAS
DOI:		10.1111/j.1745-3933.2008.00533.x
Bibliographic Code:		2008MNRAS.390L..46G

Abstract

The exact profile of a gamma-ray burst afterglow image on the plane of the sky can provide important constraints on the underlying physics. In particular, it can test whether the magnetic field in the emitting shocked external medium decreases significantly with the distance behind the shock front, or remains roughly constant. Moreover, it enables more accurate measurements of the afterglow image size and the expected scintillation properties. In this work, analytic expressions are derived for the afterglow image in power-law segments (PLSs) of the afterglow synchrotron spectrum in which the emission originates from a very thin layer just behind the shock, while simple semi-analytic expressions are derived for the remaining PLSs in which the emission arises from the bulk of the shocked fluid. In all cases, the expressions are for a general power-law external density profile, and are convenient to use in afterglow studies.

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