Displaying similar documents to “On the mathematical basis of the linear sampling method.”

The factorization method for cracks in inhomogeneous media

Jun Guo, Guozheng Yan, Jing Jin, Junhao Hu (2017)

Applications of Mathematics

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We consider the inverse scattering problem of determining the shape and location of a crack surrounded by a known inhomogeneous media. Both the Dirichlet boundary condition and a mixed type boundary conditions are considered. In order to avoid using the background Green function in the inversion process, a reciprocity relationship between the Green function and the solution of an auxiliary scattering problem is proved. Then we focus on extending the factorization method to our inverse...

Inverse scattering via nonlinear integral equations method for a sound-soft crack with phaseless data

Peng Gao, Heping Dong, Fuming Ma (2018)

Applications of Mathematics

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We consider the inverse scattering of time-harmonic plane waves to reconstruct the shape of a sound-soft crack from a knowledge of the given incident field and the phaseless data, and we check the invariance of far field data with respect to translation of the crack. We present a numerical method that is based on a system of nonlinear and ill-posed integral equations, and our scheme is easy and simple to implement. The numerical implementation is described and numerical examples are...

A novel approach to the evaluation of interface roughness scattering form factor in intersubband transitions

Nguyen Thanh Tien, Pham Thi Bich Thao, Le Tuan (2014)

Nanoscale Systems: Mathematical Modeling, Theory and Applications

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We propose a modification of the interface roughness (IFR) scattering form factor in intersubband transitions.We properly derived a formula for the form factor for IFR scattering in terms of the integrals of the envelope wave functions. This novel form factor is more global nature than the old one (proposed by Ando) and may be suitable for a wide range of applications. In this paper, we calculate and compare the absorption linewidth with the application of the old form factor and novel...

Inverse Scattering for Waveguides

Hiroshi Isozaki, Yaroslav Kurylev, Matti Lassas (2006-2007)

Séminaire de théorie spectrale et géométrie

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We study the inverse scattering problem for a waveguide ( M , g ) with cylindrical ends, M = M c ∪ ∪ α = 1 N ( Ω α × ( 0 , ∞ ) ) , where each Ω α × ( 0 , ∞ ) has a product type metric. We prove, that the physical scattering matrix, measured on just one of these ends, determines ( M , g ) up to an isometry.