TY - JOUR
T1 - Analytical solution of the fundamental waveguide mode of one-dimensional transmission grating for TM polarization
AU - Rahman, A.T.M. Anishur
AU - Vasilev, Krasimir
AU - Majewski, Peter
PY - 2011/12/1
Y1 - 2011/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=83155168362&partnerID=8YFLogxK
U2 - 10.1364/JOSAB.28.002919
DO - 10.1364/JOSAB.28.002919
M3 - Article
AN - SCOPUS:83155168362
SN - 0740-3224
VL - 28
SP - 2919
EP - 2924
JO - Journal of the Optical Society of America B: Optical Physics
JF - Journal of the Optical Society of America B: Optical Physics
IS - 12
ER -