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

A.T.M. Anishur Rahman, Krasimir Vasilev, Peter Majewski

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9 Citations (Scopus)

Abstract

This article presents an analytical solution of the effective index of the fundamental waveguide mode of onedimensional (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 (nEff ) of the fundamental waveguide mode of 1D grating is inversely proportional to the slit width (w) and the refractive index (nm) of the ridge material and varies linearly with the incident wavelength (λ). Further, it has also been demonstrated that the dependence of nEff 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.

Original languageEnglish
Pages (from-to)2919-2924
Number of pages6
JournalJournal of the Optical Society of America B: Optical Physics
Volume28
Issue number12
DOIs
Publication statusPublished - 1 Dec 2011
Externally publishedYes

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