Negative permeability of split ring resonator in the optical frequency region

Atsushi Ishikawa, Takuo Tanaka, Satoshi Kawata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Negative magnetic permeability of split ring resonator (SRR) is theoretically investigated in the optical frequency region. In our calculations, we considered the delay of the current inside the metal SRR in order to estimate the permeability of the SRR precisely; we used the complete formula of the internal impedance, which is valid to the visible range, to estimate the dispersion of both surface resistivity and internal reactance accurately. Our results indicates that in the optical frequency region, the effect of the internal reactance on the magnetic responses of the SRR is more dominant than that of the surface resistivity, because the surface resistivity is already saturated at the frequency lower than 100 THz. At the same time, the internal reactance does not saturate and moves away from zero drastically as frequency increases. From the results, we concluded that the silver SRR array with small capacitance exhibits negative permeability form THz to the visible light region. We also demonstrated that the array of the silver SRRs employing a single ring with divisions exhibits the negative μ at 428 THz (700 nm wavelength).

Original languageEnglish
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsM.I. Stockman
Pages1-9
Number of pages9
Volume5927
DOIs
Publication statusPublished - 2005
Externally publishedYes
EventPlasmonics: Metallic Nanostructures and Their Optical Properties III - San Diego, CA, United States
Duration: Jul 31 2005Aug 3 2005

Other

OtherPlasmonics: Metallic Nanostructures and Their Optical Properties III
CountryUnited States
CitySan Diego, CA
Period7/31/058/3/05

Fingerprint

Resonators
permeability
resonators
reactance
rings
Silver
electrical resistivity
Magnetic permeability
silver
estimates
Capacitance
division
capacitance
Wavelength
impedance
low frequencies
magnetic permeability
Metals
wavelengths
metals

Keywords

  • Left handed material
  • Metamaterial
  • Negative index material
  • Negative permeability
  • Plasmonic nano structure
  • Split ring resonator

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Ishikawa, A., Tanaka, T., & Kawata, S. (2005). Negative permeability of split ring resonator in the optical frequency region. In M. I. Stockman (Ed.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 5927, pp. 1-9). [59271E] https://doi.org/10.1117/12.617988

Negative permeability of split ring resonator in the optical frequency region. / Ishikawa, Atsushi; Tanaka, Takuo; Kawata, Satoshi.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / M.I. Stockman. Vol. 5927 2005. p. 1-9 59271E.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ishikawa, A, Tanaka, T & Kawata, S 2005, Negative permeability of split ring resonator in the optical frequency region. in MI Stockman (ed.), Proceedings of SPIE - The International Society for Optical Engineering. vol. 5927, 59271E, pp. 1-9, Plasmonics: Metallic Nanostructures and Their Optical Properties III, San Diego, CA, United States, 7/31/05. https://doi.org/10.1117/12.617988
Ishikawa A, Tanaka T, Kawata S. Negative permeability of split ring resonator in the optical frequency region. In Stockman MI, editor, Proceedings of SPIE - The International Society for Optical Engineering. Vol. 5927. 2005. p. 1-9. 59271E https://doi.org/10.1117/12.617988
Ishikawa, Atsushi ; Tanaka, Takuo ; Kawata, Satoshi. / Negative permeability of split ring resonator in the optical frequency region. Proceedings of SPIE - The International Society for Optical Engineering. editor / M.I. Stockman. Vol. 5927 2005. pp. 1-9
@inproceedings{2f571baa54b34483907e2a926b7860f1,
title = "Negative permeability of split ring resonator in the optical frequency region",
abstract = "Negative magnetic permeability of split ring resonator (SRR) is theoretically investigated in the optical frequency region. In our calculations, we considered the delay of the current inside the metal SRR in order to estimate the permeability of the SRR precisely; we used the complete formula of the internal impedance, which is valid to the visible range, to estimate the dispersion of both surface resistivity and internal reactance accurately. Our results indicates that in the optical frequency region, the effect of the internal reactance on the magnetic responses of the SRR is more dominant than that of the surface resistivity, because the surface resistivity is already saturated at the frequency lower than 100 THz. At the same time, the internal reactance does not saturate and moves away from zero drastically as frequency increases. From the results, we concluded that the silver SRR array with small capacitance exhibits negative permeability form THz to the visible light region. We also demonstrated that the array of the silver SRRs employing a single ring with divisions exhibits the negative μ at 428 THz (700 nm wavelength).",
keywords = "Left handed material, Metamaterial, Negative index material, Negative permeability, Plasmonic nano structure, Split ring resonator",
author = "Atsushi Ishikawa and Takuo Tanaka and Satoshi Kawata",
year = "2005",
doi = "10.1117/12.617988",
language = "English",
volume = "5927",
pages = "1--9",
editor = "M.I. Stockman",
booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",

}

TY - GEN

T1 - Negative permeability of split ring resonator in the optical frequency region

AU - Ishikawa, Atsushi

AU - Tanaka, Takuo

AU - Kawata, Satoshi

PY - 2005

Y1 - 2005

N2 - Negative magnetic permeability of split ring resonator (SRR) is theoretically investigated in the optical frequency region. In our calculations, we considered the delay of the current inside the metal SRR in order to estimate the permeability of the SRR precisely; we used the complete formula of the internal impedance, which is valid to the visible range, to estimate the dispersion of both surface resistivity and internal reactance accurately. Our results indicates that in the optical frequency region, the effect of the internal reactance on the magnetic responses of the SRR is more dominant than that of the surface resistivity, because the surface resistivity is already saturated at the frequency lower than 100 THz. At the same time, the internal reactance does not saturate and moves away from zero drastically as frequency increases. From the results, we concluded that the silver SRR array with small capacitance exhibits negative permeability form THz to the visible light region. We also demonstrated that the array of the silver SRRs employing a single ring with divisions exhibits the negative μ at 428 THz (700 nm wavelength).

AB - Negative magnetic permeability of split ring resonator (SRR) is theoretically investigated in the optical frequency region. In our calculations, we considered the delay of the current inside the metal SRR in order to estimate the permeability of the SRR precisely; we used the complete formula of the internal impedance, which is valid to the visible range, to estimate the dispersion of both surface resistivity and internal reactance accurately. Our results indicates that in the optical frequency region, the effect of the internal reactance on the magnetic responses of the SRR is more dominant than that of the surface resistivity, because the surface resistivity is already saturated at the frequency lower than 100 THz. At the same time, the internal reactance does not saturate and moves away from zero drastically as frequency increases. From the results, we concluded that the silver SRR array with small capacitance exhibits negative permeability form THz to the visible light region. We also demonstrated that the array of the silver SRRs employing a single ring with divisions exhibits the negative μ at 428 THz (700 nm wavelength).

KW - Left handed material

KW - Metamaterial

KW - Negative index material

KW - Negative permeability

KW - Plasmonic nano structure

KW - Split ring resonator

UR - http://www.scopus.com/inward/record.url?scp=31844445563&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=31844445563&partnerID=8YFLogxK

U2 - 10.1117/12.617988

DO - 10.1117/12.617988

M3 - Conference contribution

AN - SCOPUS:31844445563

VL - 5927

SP - 1

EP - 9

BT - Proceedings of SPIE - The International Society for Optical Engineering

A2 - Stockman, M.I.

ER -