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The Factorization Method for Inverse Scattering from Periodic Inhomogeneous Media
Kai Sandfort
2010
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This book addresses the identification of the shape of penetrable periodic media by means of scattered time-harmonic waves. Mathematically, this is about the determination of the support of a function which occurs in the governing equations. Our theoretical analysis shows that this problem can be strictly solved for acoustic as well as for electromagnetic radiation by the so-called Factorization Method. We apply this method to reconstruct a couple of media from numerically simulated field data.
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Keywords
- crystal
- Factorization Method
- inverse scattering problem
- Lippmann-Schwinger equation
- Mathematics & science
- Photonics
Links
DOI: 10.5445/KSP/1000019400Editions