An application of matrix theory to the evolution of coupled modes (Q2870613)
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scientific article; zbMATH DE number 6248265
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An application of matrix theory to the evolution of coupled modes |
scientific article; zbMATH DE number 6248265 |
Statements
21 January 2014
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linearization
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perturbations
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transfer matrix
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fiber lasers
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four-wave mixing
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nonlinear Schrödinger equation
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An application of matrix theory to the evolution of coupled modes (English)
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The paper is a review focused on the use of linearized equations for perturbations in models of fiber optics (in particular, of fiber lasers). The solution of the linearized equations is presented in the from of the corresponding transfer-matrix module. The review is written in a pedagogical style, being aimed to students studying methods of applied mathematics, which are used for the analysis of stability problems. The text also explains basic physical principles of the fiber optics relevant to the underlying models and the linearized equations for perturbations, such as the four-wave mixing, which is used in parametric amplifiers, that, in turn, are important ingredients of fiber-laser schemes.
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