Journal ArticleDOI
Estimation of dispersion parameters involving the Petermann II spot size using a Gaussian-type approximation in single-mode graded-index fibers
Gautam Das,Somenath Sarkar +1 more
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TLDR
In this article, the Petermann II spot size was derived for single-mode graded-index fibers and the group delay dispersion factor and the normalized wave-guide dispersion coefficient were derived.Abstract:
Based on a recently prescribed simple and novel approxima- tion of the fundamental mode, we present analytic expressions for the Petermann II spot size, suitable for evaluating the dispersion parameters of single-mode graded-index fibers. With these expressions, we calcu- late the group delay dispersion factor and also the normalized wave- guide dispersion coefficient. On comparison, our formulation is shown to be superior to the Gaussian approximation and predicts the parameters identically with the exact numerical techniques for step and parabolic index profiles. © 1997 Society of Photo-Optical Instrumentation Engineers. (S0091-3286(97)01509-2)read more
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Journal ArticleDOI
Gaussian approximation of the fundamental modes of graded-index fibers
TL;DR: In this article, a direct numerical integration of the wave equation is used to establish the validity of approximating the fundamental mode of graded-index fibers by a Gaussian function, and the fundamental modes of fibers, whose index profile can be expressed as a power law, are indeed very nearly Gaussian in shape.
Book
Single-mode fibers
TL;DR: Physical Explanation of Waveguiding by Single-Mode Fibers by Electromagnetic Fields and Gaussian Beams is given in this paper, where the fundamental fiber mode and higher-order modes are discussed.
Journal ArticleDOI
Physical interpretation of Petermann's strange spot size for single-mode fibres
TL;DR: In this paper, Petermann's mathematical definition of spot size using the modal near field and its derivative is proved to be √ 2 times the inverse of the RMS width of the observable modal far field.
Journal ArticleDOI
The fundamental mode of graded-index fibres: simple and accurate variational methods
TL;DR: This paper presents a one-parameter analysis which involves computational effort comparable to that involved in the Gaussian approximation and yet gives much better results than other existing approximations for all values ofV for most graded-index fibres.
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