Lorentzian approximation of the fundamental mode in single mode linear and nonlinear fiber

Pratap K. Bandyopadhyay; Somenath N. Sarkar

doi:10.1117/1.3556715

1 March 2011 Lorentzian approximation of the fundamental mode in single mode linear and nonlinear fiber

Pratap K. Bandyopadhyay, Somenath N. Sarkar

Author Affiliations +

Optical Engineering, Vol. 50, Issue 3, 035004 (March 2011). https://doi.org/10.1117/1.3556715

Abstract

In this paper, we approximate the fundamental mode in single mode step and graded index optical fiber by a single parameter Lorentzian function within scalar variational framework. We show that it works in a low V region, a region important for evanescent wave coupling, more accurately in terms of propagation constant in comparison to single parameter Gaussian for linear and nonlinear fibers. Furthermore, we show that the low V variations of normalized propagation constant b(V), group delay d(V), and waveguide dispersion g(V) with V based on Lorentzian approximation match more accurately with the results for linear optical fiber in comparison to Gaussian approximation in the low V region.

©(2011) Society of Photo-Optical Instrumentation Engineers (SPIE)

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Pratap K. Bandyopadhyay and Somenath N. Sarkar "Lorentzian approximation of the fundamental mode in single mode linear and nonlinear fiber," Optical Engineering 50(3), 035004 (1 March 2011). https://doi.org/10.1117/1.3556715

Published: 1 March 2011

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