The Solution to the Inverse Scattering Problem, Based on Fast Zero Location from Two Measurements
作者:
G. Ross,
M.A. Fiddy,
H. Moezzi,
期刊:
Optica Acta: International Journal of Optics
(Taylor Available online 1980)
卷期:
Volume 27,
issue 10
页码: 1433-1444
ISSN:0030-3909
年代: 1980
DOI:10.1080/713820149
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The present paper presents a simple and fast method for solving the phase problem in scattering determinations. After defining the problem in the introduction, the paper outlines, in § 2, the main conventional approaches to solving the phase problem, which is due to the presence of complex zeros of the scattered field in the space of measurement. IfNsuch zeros are present, the ambiguity in solving the inverse scattering problem in 2N. Section 3 offers the mathematical foundations of the proposed new method. It discusses the properties of the distributions of zeros and in particular the way in which they encode the information in the object space. Using these properties as a basis, § 4 puts forward a method for zero location, which involves two conventional scattering measurements, withouta prioriinformation. The main advantage of the procedure consists of reducing the number of computations required for determining possible solutions from 2Nto 2N, by using an iterative procedure.
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