Theoretical analysis of ridge gratings for long-range surface plasmon polaritons

Thomas Søndergaard, Sergey Bozhevolnyi, Alexandra Boltasseva

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

Optical properties of ridge gratings for long-range surface plasmon polaritons (LRSPPs) are analyzed theoretically in a two-dimensional configuration via the Lippmann-Schwinger integral equation method. LRSPPs being supported by a thin planar gold film embedded in dielectric are considered to be scattered by an array of equidistant gold ridges on each side of the film designed for in-plane Bragg scattering of LRSPPs at the wavelength ∼ 1550 nm. Out-of-plane scattering (OUPS), LRSPP transmission, reflection, and absorption are investigated with respect to the wavelength, the height of the ridges, and the length of the grating. Particular attention is paid to the fraction of the LRSPP power lost due to the OUPS. We find an asymmetry in the OUPS spectra in the vicinity of the band gap and relate this asymmetry to that observed in the transmission spectra. It is found that in order to maximize a reflection peak it is preferable to use longer gratings with smaller ridges compared to gratings with larger ridges, because the former result in a smaller OUPS from the grating facets than the latter. The theoretical analysis and its conclusions are supported with experimental results on the LRSPP reflection and transmission by ridge gratings. For comparison, a few calculations are also presented for surface plasmon polariton (SPP) scattering by ridge gratings, a configuration which corresponds to the LRSPP case with a very thick film. We found that, in this case, it is less attractive to use long gratings due to higher propagation loss and stronger confinement of SPPs in comparison with LRSPPs.
OriginalsprogEngelsk
Artikelnummer045320
TidsskriftPhysical Review B Condensed Matter
Vol/bind73
Udgave nummer4
Antal sider8
ISSN1098-0121
DOI
StatusUdgivet - 23. jan. 2006
Udgivet eksterntJa

Fingeraftryk

polaritons
ridges
gratings
Scattering
scattering
Gold
asymmetry
gold
Wavelength
configurations
Thick films
wavelengths
Integral equations
thick films
integral equations
flat surfaces
Energy gap
Optical properties
optical properties
propagation

Citer dette

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title = "Theoretical analysis of ridge gratings for long-range surface plasmon polaritons",
abstract = "Optical properties of ridge gratings for long-range surface plasmon polaritons (LRSPPs) are analyzed theoretically in a two-dimensional configuration via the Lippmann-Schwinger integral equation method. LRSPPs being supported by a thin planar gold film embedded in dielectric are considered to be scattered by an array of equidistant gold ridges on each side of the film designed for in-plane Bragg scattering of LRSPPs at the wavelength ∼ 1550 nm. Out-of-plane scattering (OUPS), LRSPP transmission, reflection, and absorption are investigated with respect to the wavelength, the height of the ridges, and the length of the grating. Particular attention is paid to the fraction of the LRSPP power lost due to the OUPS. We find an asymmetry in the OUPS spectra in the vicinity of the band gap and relate this asymmetry to that observed in the transmission spectra. It is found that in order to maximize a reflection peak it is preferable to use longer gratings with smaller ridges compared to gratings with larger ridges, because the former result in a smaller OUPS from the grating facets than the latter. The theoretical analysis and its conclusions are supported with experimental results on the LRSPP reflection and transmission by ridge gratings. For comparison, a few calculations are also presented for surface plasmon polariton (SPP) scattering by ridge gratings, a configuration which corresponds to the LRSPP case with a very thick film. We found that, in this case, it is less attractive to use long gratings due to higher propagation loss and stronger confinement of SPPs in comparison with LRSPPs.",
author = "Thomas S{\o}ndergaard and Sergey Bozhevolnyi and Alexandra Boltasseva",
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Theoretical analysis of ridge gratings for long-range surface plasmon polaritons. / Søndergaard, Thomas; Bozhevolnyi, Sergey; Boltasseva, Alexandra.

I: Physical Review B Condensed Matter, Bind 73, Nr. 4, 045320, 23.01.2006.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Theoretical analysis of ridge gratings for long-range surface plasmon polaritons

AU - Søndergaard, Thomas

AU - Bozhevolnyi, Sergey

AU - Boltasseva, Alexandra

PY - 2006/1/23

Y1 - 2006/1/23

N2 - Optical properties of ridge gratings for long-range surface plasmon polaritons (LRSPPs) are analyzed theoretically in a two-dimensional configuration via the Lippmann-Schwinger integral equation method. LRSPPs being supported by a thin planar gold film embedded in dielectric are considered to be scattered by an array of equidistant gold ridges on each side of the film designed for in-plane Bragg scattering of LRSPPs at the wavelength ∼ 1550 nm. Out-of-plane scattering (OUPS), LRSPP transmission, reflection, and absorption are investigated with respect to the wavelength, the height of the ridges, and the length of the grating. Particular attention is paid to the fraction of the LRSPP power lost due to the OUPS. We find an asymmetry in the OUPS spectra in the vicinity of the band gap and relate this asymmetry to that observed in the transmission spectra. It is found that in order to maximize a reflection peak it is preferable to use longer gratings with smaller ridges compared to gratings with larger ridges, because the former result in a smaller OUPS from the grating facets than the latter. The theoretical analysis and its conclusions are supported with experimental results on the LRSPP reflection and transmission by ridge gratings. For comparison, a few calculations are also presented for surface plasmon polariton (SPP) scattering by ridge gratings, a configuration which corresponds to the LRSPP case with a very thick film. We found that, in this case, it is less attractive to use long gratings due to higher propagation loss and stronger confinement of SPPs in comparison with LRSPPs.

AB - Optical properties of ridge gratings for long-range surface plasmon polaritons (LRSPPs) are analyzed theoretically in a two-dimensional configuration via the Lippmann-Schwinger integral equation method. LRSPPs being supported by a thin planar gold film embedded in dielectric are considered to be scattered by an array of equidistant gold ridges on each side of the film designed for in-plane Bragg scattering of LRSPPs at the wavelength ∼ 1550 nm. Out-of-plane scattering (OUPS), LRSPP transmission, reflection, and absorption are investigated with respect to the wavelength, the height of the ridges, and the length of the grating. Particular attention is paid to the fraction of the LRSPP power lost due to the OUPS. We find an asymmetry in the OUPS spectra in the vicinity of the band gap and relate this asymmetry to that observed in the transmission spectra. It is found that in order to maximize a reflection peak it is preferable to use longer gratings with smaller ridges compared to gratings with larger ridges, because the former result in a smaller OUPS from the grating facets than the latter. The theoretical analysis and its conclusions are supported with experimental results on the LRSPP reflection and transmission by ridge gratings. For comparison, a few calculations are also presented for surface plasmon polariton (SPP) scattering by ridge gratings, a configuration which corresponds to the LRSPP case with a very thick film. We found that, in this case, it is less attractive to use long gratings due to higher propagation loss and stronger confinement of SPPs in comparison with LRSPPs.

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