\(\mathcal {PT}\)-symmetric waveguides (Q1030488)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\mathcal {PT}\)-symmetric waveguides |
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\(\mathcal {PT}\)-symmetric waveguides (English)
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1 July 2009
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A planar waveguide of constant width with two non-Hermitian PT-symmetric Robin boundary conditions is introduced in the paper. The spectrum of this system is studied in the regime when the boundary coupling function is a compactly supported perturbation of a homogeneous coupling. It is proved that the essential spectrum is positive and independent of such perturbation, and the radial spectrum is empty.
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non-self-adjointness
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\(J\)-self-adjointness
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waveguides
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\(\mathcal {PT}\)-symmetry
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Robin boundary conditions
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Robin Laplacian
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eigenvalue and eigenfunction asymptotics
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essential spectrum
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reality of the spectrum
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