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dc.contributor.author
Ammari, Habib
dc.contributor.author
Chow, Yat Tin
dc.contributor.author
Liu, Hongyu
dc.date.accessioned
2020-08-07T11:25:45Z
dc.date.available
2020-08-04T10:43:00Z
dc.date.available
2020-08-07T11:25:45Z
dc.date.issued
2020-03
dc.identifier.uri
http://hdl.handle.net/20.500.11850/429932
dc.description.abstract
We are concerned with the geometric properties of the surface plasmon resonance (SPR). SPR is a non-radiative electromagnetic surface wave that propagates in a direction parallel to the negative permittivity/dielectric material interface. It is known that the SPR oscillation is topologically very sensitive to the material interface. However, we show that the SPR oscillation asympotically localizes at places with high magnitude of curvature in a certain sense. Our work leverages the Heisenberg picture of quantization and quantum ergodicity first derived by Shnirelman, Zelditch, Colin de Verdiere and Helffer-Martinez-Robert, as well as certain novel and more general ergodic properties of the Neumann-Poincar\'e operator to analyse the SPR field, which are of independent interest to the spectral theory and the potential theory.
en_US
dc.language.iso
en
en_US
dc.publisher
Seminar for Applied Mathematics, ETH Zurich
en_US
dc.subject
Surface plasmon resonance
en_US
dc.subject
Localization
en_US
dc.subject
Quantum ergodicity
en_US
dc.subject
High curvature
en_US
dc.subject
Neumann-Poincar\'e operator
en_US
dc.subject
Quantization
en_US
dc.title
Quantum ergodicity and localization of plasmon resonances
en_US
dc.type
Report
ethz.journal.title
SAM Research Report
ethz.journal.volume
2020-13
en_US
ethz.size
30 p.
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=886
ethz.date.deposited
2020-08-04T10:43:19Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.identifier.internal
https://math.ethz.ch/sam/research/reports.html?id=886
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2020-08-07T11:26:01Z
ethz.rosetta.lastUpdated
2020-08-07T11:26:01Z
ethz.rosetta.versionExported
true
ethz.COinS
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