Modulated electromagnetic fields in inhomogeneous media, hyperbolic pseudoanalytic functions, and transmutations (Q2814195)
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scientific article; zbMATH DE number 6595441
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Modulated electromagnetic fields in inhomogeneous media, hyperbolic pseudoanalytic functions, and transmutations |
scientific article; zbMATH DE number 6595441 |
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Modulated electromagnetic fields in inhomogeneous media, hyperbolic pseudoanalytic functions, and transmutations (English)
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20 June 2016
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Maxwell equations
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Vekua equation
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bicomplex-valued functions of a hyperbolic variable
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The authors study the non-stationary Maxwell equations for inhomogeneous one-dimensional media by reduction to a Vekua-type equation for bicomplex-valued functions of a hyperbolic variable. The Vekua equation is solved by means of approximate transmutation operators. The final representations for solutions have a simple form. The computational efficiency and accuracy of the final formulas are confirmed by numerical examples.
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