Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric (Q5929649)
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scientific article; zbMATH DE number 1586222
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric |
scientific article; zbMATH DE number 1586222 |
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Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric (English)
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16 April 2001
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It is established the existence of nontrivial solutions for the nonlinear eigenvalue problem describing self-trapped transverse magnetic field modes in a cylindrical optical filter made from a self-focusing dielectric material. The main result of the paper points out that it is possible to have all the wavelengths within prescribed intervals. The approach relies on the Mountain Pass Theorem.
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self-trapped beam of light
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guided waves
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energy integral
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focusing dielectric material
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nonlinear eigenvalue problem
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self-trapped transverse magnetic field modes
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cylindrical optical filter
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Mountain Pass Theorem
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