## Abstract and Applied Analysis

### Inverse Scattering from a Sound-Hard Crack via Two-Step Method

Kuo-Ming Lee

#### Abstract

We present a two-step method for recovering an unknown sound-hard crack in ${ℝ}^{2}$ from the measured far-field pattern. This method, based on a two-by-two system of nonlinear integral equations, splits the reconstruction into two consecutive steps which consists of a forward and an inverse problems. In this spirit, only the latter needs to be regularized.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 810676, 13 pages.

Dates
First available in Project Euclid: 5 April 2013

https://projecteuclid.org/euclid.aaa/1365174049

Digital Object Identifier
doi:10.1155/2012/810676

Mathematical Reviews number (MathSciNet)
MR2947726

Zentralblatt MATH identifier
1246.65256

#### Citation

Lee, Kuo-Ming. Inverse Scattering from a Sound-Hard Crack via Two-Step Method. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 810676, 13 pages. doi:10.1155/2012/810676. https://projecteuclid.org/euclid.aaa/1365174049

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