Novel Method for Studying Single-mode Fibers involving Chebysev Technique

Abstract

A simple numerical method based on Chebysev technique is proposed to calculate the propagation characteristics of single mode fibers having arbitrary index profiles. The method also formulates a linear relation of K,(W)/Ko(W) with 1/W. The method predicts the normalised fiber parameters and field functictions in the core and cladding as well for step and parabolic index fibers excellently.

Prediction of modal dispersion in nonlinear single mode optical fiber using simple Chebyshev technique

“…By least square fitting procedure for the interval 0.6 ≤ W ≤ 2.5, we get [4]: Using three sets of equations in Eq. (A.5) together with Eq.…”

“…Among the available approximate methods, the Chebyshev method is a simple and efficient technique. In the recent past, much work has been reported to predict the propagation characteristics of linear optical fibers using this simple technique [3][4][5][6]. This method is simple as well as powerful in comparison to other numerical and approximate methods since one has to solve a determinant to compute the propagation characteristics of these fibers.…”

“…Since last few decades, propagation characteristics of conventional and photonic crystal fibers are a topic of keen interest because of their importance in both linear [1][2][3][4][5][6]9,10] and nonlinear [11][12][13][14][15] regimes. Several methods have been reported to calculate the modal dispersion and normalized group delay in nonlinear regime as different propagation behavior has been found in case of nonlinearity.…”

A simple method for prediction of far-field pattern of mono-mode graded index fibers in the low V region

“…For W larger than 0.6, K 1 (W)/K 0 (W) remains linear with 1/W in the interval 0.6 ≤ W ≤ 2.5, with ˛ and ˇ being, respectively ˛ = 1.034623 and ˇ = 0.3890323. Thus one can write K 1 (W)/K 0 (W) = 1.034623 + (0.3890323/W) [12]. Further, the said interval corresponds to wide single-mode region of a fiber having graded index profile.…”

“…Thus, prescription of accurate but simple expression for fundamental mode of graded index fiber is essential. In this context, it deserves mentioning that an accurate but simple power series form of fundamental mode in graded index fiber is available in literature [12][13][14][15][16]. However, this expression is unable to predict the fiber propagation characteristics in the low V region.…”