On the solution of an ill-posed nonlinear Fredholm integral equation connected with an inverse problem of thin film optics (Q687228)
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scientific article; zbMATH DE number 429274
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the solution of an ill-posed nonlinear Fredholm integral equation connected with an inverse problem of thin film optics |
scientific article; zbMATH DE number 429274 |
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On the solution of an ill-posed nonlinear Fredholm integral equation connected with an inverse problem of thin film optics (English)
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30 January 1994
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This paper carries out a theoretical analysis of the simultaneous identification of geometrical thickness and refractive index profile for inhomogeneous single layer systems from indirect measurements. The problem leads to a nonlinear integral equation of the first kind with smooth kernel. The paper presents a uniqueness theorem for monotone solutions referring to the Hausdorff moment problem.
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nonlinear optics
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ill-posed nonlinear Fredholm integral equation
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inverse problem
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thin film optics
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identification of geometrical thickness
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refractive index profile
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single layer systems
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indirect measurements
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smooth kernel
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monotone solutions
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Hausdorff moment problem
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