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dc.contributor.author
Alexopoulos, Konstantinos
dc.contributor.author
Davies, Bryn
dc.date.accessioned
2023-07-05T12:25:55Z
dc.date.available
2023-06-28T09:59:02Z
dc.date.available
2023-07-05T12:25:55Z
dc.date.issued
2023-06
dc.identifier.uri
http://hdl.handle.net/20.500.11850/618938
dc.description.abstract
Understanding the dispersive properties of photonic crystals is a fundamental and well-studied problem. However, the introduction of singular permittivities and damping complicates the otherwise straightforward theory. In this paper, we study photonic crystals with a Drude-Lorentz model for the permittivity, motivated by halide perovskites. We demonstrate how the introduction of singularities and damping affects the spectral band structure and show how to interpret the notion of a ``band gap" in this setting. We present explicit solutions for a one-dimensional model and show how integral operators can be used to handle multi-dimensional systems.
en_US
dc.language.iso
en
en_US
dc.publisher
Seminar for Applied Mathematics, ETH Zurich
en_US
dc.title
The effect of singularities and damping on the spectra of photonic crystals
en_US
dc.type
Report
ethz.journal.title
SAM Research Report
ethz.journal.volume
2023-28
en_US
ethz.size
29 p.
en_US
ethz.grant
A biomimetic basis for visual processing and the perception of natural scenes
en_US
ethz.publication.place
Zurich
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::09504 - Ammari, Habib / Ammari, Habib
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::09504 - Ammari, Habib / Ammari, Habib
en_US
ethz.identifier.url
https://math.ethz.ch/sam/research/reports.html?id=1065
ethz.grant.agreementno
ETH-34 20-2
ethz.grant.fundername
ETHZ
ethz.grant.funderDoi
10.13039/501100003006
ethz.grant.program
ETH Grants
ethz.date.deposited
2023-06-28T09:59:03Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.identifier.internal
https://math.ethz.ch/sam/research/reports.html?id=1065
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2023-07-05T12:25:56Z
ethz.rosetta.lastUpdated
2023-07-05T12:25:56Z
ethz.rosetta.versionExported
true
ethz.COinS
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