Abstract This paper intends to identify the validity of the orn approximation by a new universal criterion, which is ultimately reduced to the calculation of an operator norm. With the purpose of enabling the criterion to be applicable to general scattering problems, a method is proposed to estimate the norm of the operator concerned. Compared with the conventional criterion, this method excels in its ability to acquire a quantificational upper bound of the relative error by Born approximation as well as to extend its valid frequency to a wider range. Two canonical scattering examples are given as evidence for the validity of the criterion.
Received: 26 November 2008
Revised: 06 January 2009
Accepted manuscript online:
Fund: Project supported by the Explore
Foundation of Weapon Development (Grant No 7130620).
Cite this article:
Li Jian-Bing(李健兵), Wang Xue-Song(王雪松), and Wang Tao(王涛) A rigorous criterion to identify the validity of the Born approximation 2009 Chin. Phys. B 18 3174
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