A periodic knitting problem for the Helmholtz equation (Q1380358)
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scientific article; zbMATH DE number 1123598
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A periodic knitting problem for the Helmholtz equation |
scientific article; zbMATH DE number 1123598 |
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A periodic knitting problem for the Helmholtz equation (English)
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1 July 1998
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A diffraction of a plane wave incident to a periodic surface separating two dielectric materials with different dielectric constants is studied. Existence and uniqueness of solutions to a periodic knitting problem for the Helmholtz equation is proved. It is shown that the solution can be approximated by linear combinations of reflected and transmitted waves (the Rayleigh method).
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periodic surface
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different dielectric constants
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Rayleigh method
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