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Numerical solution of the Gel'fand–Levitan–Marchenko integral equation for electromagnetic inverse scattering theory using matrix inversion

✍ Scribed by Yan Zhang; Jin Au Kong; Arthur K. Jordan

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 73 KB
Volume: 15
Category: Article
ISSN: 0895-2477
DOI: 10.1002/(sici)1098-2760(19970805)15:5<277::aid-mop3>3.0.co;2-6

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✦ Synopsis

In this article a numerical method that makes use of ( ) matrix in¨ersion to sol¨e the Gel'fand᎐Le¨itan᎐Marchenko GLM integral equation for electromagnetic in¨erse scattering is presented. The algorithm is ¨alidated by comparing it to the analytic solution of the in¨erse problem for the reflection coefficient with a rational function. This approach can be applied to a GLM in¨erse scattering problem with a general reflection coefficient or experiment data, for which an analytic solution of the GLM integral equation is not a¨ailable.