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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 27, Iss. 7 — Jul. 1, 2010
  • pp: 1608–1612

Analytical recurrence formula for the zeroth-order metal wire plasmon of terahertz waves

Jie Yang, Qing Cao, and Changhe Zhou  »View Author Affiliations

JOSA A, Vol. 27, Issue 7, pp. 1608-1612 (2010)

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An analytical recurrence formula for the zeroth-order metal wire plasmon of terahertz waves is presented. In the derivation, the property that the relative permittivity of a metal in the spectral region of terahertz wave is huge, the property that the effective index is about 1, some properties of modified Bessel functions, and a suitable Taylor expansion are employed. The recurrence formula is numerically tested for 11 nonmagnetic metals for the whole spectral region of terahertz waves and for the wide radius range from 10 μ m to infinity. We find that the relative deviation for the effective index always becomes smaller than 2.1 × 10 6 after only four recurrences if a suitable initial input is used. Some related problems, such as the connection to the Newton method and the dependence of the accuracy on frequency, are also discussed.

© 2010 Optical Society of America

OCIS Codes
(230.7370) Optical devices : Waveguides
(240.6680) Optics at surfaces : Surface plasmons
(260.3090) Physical optics : Infrared, far
(260.3910) Physical optics : Metal optics

ToC Category:
Optics at Surfaces

Original Manuscript: January 6, 2010
Revised Manuscript: April 22, 2010
Manuscript Accepted: May 7, 2010
Published: June 11, 2010

Jie Yang, Qing Cao, and Changhe Zhou, "Analytical recurrence formula for the zeroth-order metal wire plasmon of terahertz waves," J. Opt. Soc. Am. A 27, 1608-1612 (2010)

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