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Inverse scattering problem for transparent obstacles

Published online by Cambridge University Press:  24 October 2008

Vesselin Petkov
Vesselin Petkov
Affiliation:
Bulgarian Academy of Science, Sofia
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Extract

Let K ⊂ ℝ3 be an open bounded strictly convex domain with smooth connected compact boundary ∂K. Set

We wish to study the filtered scattering amplitude, related to the transmission problem

Here w± are the limiting values of w on ∂Ω; from the Ω;± side, while ∂w±/∂n are the corresponding limiting values of the normal derivative ∂w?/∂n on ∂Ω;. The function α(x) ∈ C∞(K¯), called the index of refraction, has the property α(x) > 0 for x ∈ K¯.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 92 , Issue 2 , September 1982 , pp. 361 - 367
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

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