Kramers–Kronig Relation for Attenuated Total Reflection from a Metal–Dielectric Interface Where Surface Plasmon Polaritons Are Excited

The applicability of the Kramers–Kronig relation for attenuated total reflection (ATR) from a metal–dielectric interface that can excite surface plasmon polaritons (SPP) is theoretically investigated. The plasmon-induced attenuation of reflected light can be taken as the resonant absorption of light...

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Autor principal:	Heongkyu Ju
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	surface plasmon resonance optical dispersion reflection spectrum Kramers–Kronig relation causality phase dispersion Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/d269b209f32b4e2baedcbf5be4ceddb7
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spelling	oai:doaj.org-article:d269b209f32b4e2baedcbf5be4ceddb72021-11-25T18:32:09ZKramers–Kronig Relation for Attenuated Total Reflection from a Metal–Dielectric Interface Where Surface Plasmon Polaritons Are Excited10.3390/nano111130632079-4991https://doaj.org/article/d269b209f32b4e2baedcbf5be4ceddb72021-11-01T00:00:00Zhttps://www.mdpi.com/2079-4991/11/11/3063https://doaj.org/toc/2079-4991The applicability of the Kramers–Kronig relation for attenuated total reflection (ATR) from a metal–dielectric interface that can excite surface plasmon polaritons (SPP) is theoretically investigated. The plasmon-induced attenuation of reflected light can be taken as the resonant absorption of light through a virtual absorptive medium. The optical phase shift of light reflected from the SPP-generating interface is calculated using the KK relation, for which the spectral dependence of ATR is used at around the plasmonic resonance. The KK relation-calculated phase shift shows good agreement with that directly obtained from the reflection coefficient, calculated by a field transfer matrix formula at around the resonance. This indicates that physical causality also produces the spectral dependence of the phase of the leakage field radiated by surface plasmons that would interfere with the reflected part of light incident to the interface. This is analogous with optical dispersion in an absorptive medium where the phase of the secondary field induced by a medium polarization, which interferes with a polarization-stimulating incident field, has a spectral dependence that stems from physical causality.Heongkyu JuMDPI AGarticlesurface plasmon resonanceoptical dispersionreflection spectrumKramers–Kronig relationcausalityphase dispersionChemistryQD1-999ENNanomaterials, Vol 11, Iss 3063, p 3063 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	surface plasmon resonance optical dispersion reflection spectrum Kramers–Kronig relation causality phase dispersion Chemistry QD1-999
spellingShingle	surface plasmon resonance optical dispersion reflection spectrum Kramers–Kronig relation causality phase dispersion Chemistry QD1-999 Heongkyu Ju Kramers–Kronig Relation for Attenuated Total Reflection from a Metal–Dielectric Interface Where Surface Plasmon Polaritons Are Excited
description	The applicability of the Kramers–Kronig relation for attenuated total reflection (ATR) from a metal–dielectric interface that can excite surface plasmon polaritons (SPP) is theoretically investigated. The plasmon-induced attenuation of reflected light can be taken as the resonant absorption of light through a virtual absorptive medium. The optical phase shift of light reflected from the SPP-generating interface is calculated using the KK relation, for which the spectral dependence of ATR is used at around the plasmonic resonance. The KK relation-calculated phase shift shows good agreement with that directly obtained from the reflection coefficient, calculated by a field transfer matrix formula at around the resonance. This indicates that physical causality also produces the spectral dependence of the phase of the leakage field radiated by surface plasmons that would interfere with the reflected part of light incident to the interface. This is analogous with optical dispersion in an absorptive medium where the phase of the secondary field induced by a medium polarization, which interferes with a polarization-stimulating incident field, has a spectral dependence that stems from physical causality.
format	article
author	Heongkyu Ju
author_facet	Heongkyu Ju
author_sort	Heongkyu Ju
title	Kramers–Kronig Relation for Attenuated Total Reflection from a Metal–Dielectric Interface Where Surface Plasmon Polaritons Are Excited
title_short	Kramers–Kronig Relation for Attenuated Total Reflection from a Metal–Dielectric Interface Where Surface Plasmon Polaritons Are Excited
title_full	Kramers–Kronig Relation for Attenuated Total Reflection from a Metal–Dielectric Interface Where Surface Plasmon Polaritons Are Excited
title_fullStr	Kramers–Kronig Relation for Attenuated Total Reflection from a Metal–Dielectric Interface Where Surface Plasmon Polaritons Are Excited
title_full_unstemmed	Kramers–Kronig Relation for Attenuated Total Reflection from a Metal–Dielectric Interface Where Surface Plasmon Polaritons Are Excited
title_sort	kramers–kronig relation for attenuated total reflection from a metal–dielectric interface where surface plasmon polaritons are excited
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/d269b209f32b4e2baedcbf5be4ceddb7
work_keys_str_mv	AT heongkyuju kramerskronigrelationforattenuatedtotalreflectionfromametaldielectricinterfacewheresurfaceplasmonpolaritonsareexcited
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Kramers–Kronig Relation for Attenuated Total Reflection from a Metal–Dielectric Interface Where Surface Plasmon Polaritons Are Excited

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