We present simple but accurate analytical expressions for prediction of scalar and vector propagation constants for single-mode graded index fibers. Our formulation is based on the recently developed Chebyshev power series expression for the fundamental mode of graded index fibers. Taking parabolic index fiber as example, we show that our estimations agree excellently with the exact results. The concerned calculations involve very little computations. © 2005 Published by Elsevier GmbH.

M C KUNDU

S GANGOPADHYAY

T BASU

S N SARKAR

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

Optik

We present simple and accurate analytical expressions for the evaluation of splice loss in single-mode graded index fibres. Our analysis is based on simple series expression for fundamental mode of such fibres which we have developed recently. Since splices are highly tolerant for longitudinal separation, we restrict our analysis to cases of transverse offset and angular tilt only. The concerned calculations require much less computations. With examples of step and parabolic index fibres, we show that our predictions agree excellently with the exact results. A useful collection of integration and differentiation formulae involving Bessel functions is presented in the appendix for ready reference to engineering problems of similar computational context.

Optical and Quantum Electronics

Evaluation of splice loss in single-mode graded index fibres by a simple technique

A simple method based on Chebyshev technique is reported to predict the normalised group delay and modal dispersian in single-mode optical fibers having arbitrary index profiles with examples of step and parabolic index cores. This method contains formulation of a linear relation of K1(W)/K0(W) with I/W over a wide and practical range of W values, relevant to single-moded guidance in such fibers. Comparison with the exact numerical results shows that the proposed technique estimates the dispersion parameters excellently.

Fulltext

Journal of Optical Communications

Prediction of modal dispersion in single-mode graded index fibers by Chebyshev technique

Table of Integrals, Series, and Products

NORMS

Variational Approximations for Single-mode Graded-index Fibers: Some Interesting Applications

Evaluation of Petermann I and II Spot Sizes and Dispersion Parameters of Single-mode Graded Index Fibers in the low V Region by a Simple Technique

Evaluation of dimensionless vector and scalar propagation constants for single-mode graded index fibers by a simple technique

Journal	Optik
Publisher	Urban und Fischer Verlag Jena
ISSN	0030-4026