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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 28, Iss. 12 — Dec. 1, 2011
  • pp: 2919–2924

Analytical solution of the fundamental waveguide mode of one-dimensional transmission grating for TM polarization

A. T. M. Anishur Rahman, Krasimir Vasilev, and Peter Majewski  »View Author Affiliations


JOSA B, Vol. 28, Issue 12, pp. 2919-2924 (2011)
http://dx.doi.org/10.1364/JOSAB.28.002919


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Abstract

This article presents an analytical solution of the effective index of the fundamental waveguide mode of one- dimensional (1D) metallodielectric grating for TM polarization. In contrast to the existing numerical solution involving a transcendental equation, it is shown that the square of the effective index ( n Eff ) of the fundamental waveguide mode of 1D grating is inversely proportional to the slit width (w) and the refractive index ( n m ) of the ridge material and varies linearly with the incident wavelength (λ). Further, it has also been demonstrated that the dependence of n Eff on the grating period (P) and the incidence angle (θ) is minimal. Agreement between the results obtained using the solution presented in this article and published data is excellent.

© 2011 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics
(260.3910) Physical optics : Metal optics

ToC Category:
Diffraction and Gratings

History
Original Manuscript: August 4, 2011
Revised Manuscript: October 12, 2011
Manuscript Accepted: October 12, 2011
Published: November 10, 2011

Citation
A. T. M. Anishur Rahman, Krasimir Vasilev, and Peter Majewski, "Analytical solution of the fundamental waveguide mode of one-dimensional transmission grating for TM polarization," J. Opt. Soc. Am. B 28, 2919-2924 (2011)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-28-12-2919

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