Nemiroff, Robert J. 2011 可以用一个简单的唯象公式来拟合pulse的光变

主要内容:
就是这个公式

做到了参数少又能很好的拟合，其中应该有什么原因。

精彩摘抄:
拟合的参数：

拟合的光变：

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Title:		Extension of an exponential light-curve gamma-ray burst pulse model across energy bands
Authors:		Nemiroff, Robert J.
Affiliation:		AA(Department of Physics, Michigan Technological University, Houghton, MI 49931, USA)
Publication:		Monthly Notices of the Royal Astronomical Society, Volume 419, Issue 2, pp. 1650-1659. (MNRAS Homepage)
Publication Date:		01/2012
Origin:		WILEY
Astronomy Keywords:		gamma-ray burst: general
Abstract Copyright:		© 2011 The Author Monthly Notices of the Royal Astronomical Society © 2011 RAS
DOI:		10.1111/j.1365-2966.2011.19838.x
Bibliographic Code:		2012MNRAS.419.1650N

Abstract

A simple mathematical model of gamma-ray burst(GRB) pulses in time, suggested by Norris et al., is extended across energy. For a class of isolated pulses, two fit parameters appear to be effectively independent of energy. Specifically, statistical fits indicate that pulse amplitude A and pulse width τ are energy dependent, while pulse start time and pulse shape are effectively energy independent. These results bolster the pulse start and pulse scale conjectures of Nemiroff and add a new pulse shape conjecture which states that a class of pulses all have the same shape. The simple resulting pulse counts model is P(t, E) =A(E) exp[ -t/τ(E) -τ(E)/t], where t is the time since the start of the pulse. This pulse model is found to be an acceptable statistical fit to many of the fluent separable Burst and Transient Source Experiment (BATSE) pulses listed by Norris et al. Even without theoretical interpretation, this cross-energy extension may be immediately useful for fitting prompt emission from GRB pulses across energy channels with a minimal number of free parameters.

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