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Journal ArticleDOI

Estimation of dispersion parameters involving the Petermann II spot size using a Gaussian-type approximation in single-mode graded-index fibers

01 Sep 1997-Optical Engineering (International Society for Optics and Photonics)-Vol. 36, Iss: 9, pp 2425-2428
TL;DR: 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)
References
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Journal ArticleDOI
Dietrich Marcuse1
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.
Abstract: 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. We show that the fundamental modes of fibers, whose index profile can be expressed as a power law, are indeed very nearly Gaussian in shape (that is probably also true for graded-index fibers with convex profiles other than a power law). Graphs and empirical analytical expressions are presented for the optimum Gaussian beam width parameter and for the propagation constant of the fundamental mode.

445 citations

Book
01 Jan 1988
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.
Abstract: Physical Explanation of Waveguiding by Single-Mode Fibers.- Electromagnetic Fields.- Gaussian Beams.- The Fundamental Fiber Mode.- Higher-Order Modes.- Launching of Modes.- Radiation from the Fiber End.- Joints Between Fibers.- Spot Size and Width of the Radiation Pattern.- Signal Transmission Through Single-Mode Fibers.- Components for Single-Mode Fibers.- Measuring Techniques.

214 citations

Journal ArticleDOI
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.
Abstract: 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. The theory of fibre optics is given in terms of the transformed field, which determines the far field. Dispersion, splice loss and excitation efficiency are discussed.

110 citations

Journal ArticleDOI
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.
Abstract: In this paper, we present two approximations for the fundamental mode of graded-index fibres. The first is a one-parameter analysis which involves computational effort comparable to that involved in the Gaussian approximation and yet gives much better results. The second is a two-parameter analysis which gives much better results than other existing approximations for all values ofV for most graded-index fibres.

84 citations