Inverse scattering by a random periodic structure. (English) Zbl 1452.78015
The authors deal with the scattering of a time-harmonic electromagnetic plane wave by a periodic structure. They present an efficient numerical method for solving the inverse scattering problem to determine a random periodic interface or obstacle. This is done by combining the Monte Carlo technique for sampling the probability space, a continuation method with respect to the wavenumber, and the Karhunen-Loève expansion of the random structure. Numerical results are included, and illustrate the reliability and efficiency of the method.
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
MSC:
| 78A46 | Inverse problems (including inverse scattering) in optics and electromagnetic theory |
| 65C30 | Numerical solutions to stochastic differential and integral equations |
| 65N21 | Numerical methods for inverse problems for boundary value problems involving PDEs |
| 35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |
| 62F15 | Bayesian inference |
Keywords:
random periodic structure; inverse scattering; Helmholtz equation; Karhunen-Loève expansion; Monte Carlo continuation uncertainty quantification methodReferences:
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