Removing grazing incidence reflection with half-bound states and non-Hermitian systems

Grazing incidence waves incident onto a surface will almost always be completely reflected. Here, we focus on removing reflection at grazing incidence, adopting the factorisation method from quantum mechanics and applying it to the Helmholtz equation that governs a single electromagnetic polarisatio...

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Bibliographic Details
Published inarXiv.org
Main Authors Patient, Dean A, Horsley, Simon A R
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 09.06.2022
Subjects
Grazing incidence
Helmholtz equations
Physics - Optics
Quantum mechanics
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Summary:Grazing incidence waves incident onto a surface will almost always be completely reflected. Here, we focus on removing reflection at grazing incidence, adopting the factorisation method from quantum mechanics and applying it to the Helmholtz equation that governs a single electromagnetic polarisation. We show that there are two approaches, the first is to require real dielectric profiles that support a half-bound state at grazing incidence. The second is to allow non-Hermitian dielectric profiles that exhibit PT symmetry, supporting waves with constant intensity throughout the profile.
ISSN:2331-8422
DOI:10.48550/arxiv.2206.04398