Application of nonlinear techniques to the inverse problem
The inverse problem for the reduced wave equation Δu + k2n2(x)u = 0, where n is real and continuous and n2−1 has compact support in ℝ3, is examined for the case where the scattering data consists of a set of measurements of the near or far field produced by a prescribed incident wave. The inverse problem is formu lated in terms of a system of functional equations, a quadratic nonlinear integral equation, plus an additional inequality or constraint. The general nonlinear theory of the complete system is examined.
KeywordsInverse Problem Integral Operator Generalize Inverse Incident Field Nonlinear Integral Equation
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Footnotes and references
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