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The singular sources method for cracks
Fotouhi, M ; Sharif University of Technology | 2007
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- Type of Document: Article
- DOI: 10.1002/mma.829
- Publisher: 2007
- Abstract:
- The singular sources method is given to detect the shape of a thin infinitely cylindrical obstacle from a knowledge of the TM-polarized scattered electromagnetic field in large distance. The basic idea is based on the singular behaviour of the scattered field of the incident point source on the cross-section of the cylinder. We assume that the scatterer is a perfect conductor which is possibly coated by a material and investigate two models with different boundary conditions. Also we give a uniqueness proof for the shape reconstruction. Copyright © 2006 John Wiley & Sons, Ltd
- Keywords:
- Boundary conditions ; Electromagnetic field effects ; Electromagnetic wave polarization ; Inverse problems ; Mathematical models ; Cylindrical obstacle ; Inverse scattering ; Singular sources method ; Electromagnetic wave scattering
- Source: Mathematical Methods in the Applied Sciences ; Volume 30, Issue 10 , 2007 , Pages 1121-1134 ; 01704214 (ISSN)
- URL: https://onlinelibrary.wiley.com/doi/10.1002/mma.829