This paper estimates transmission coefficient at the splice of single-mode dispersion shifted trapezoidal and dispersion flattened graded and step W fibers in presence as well as in absence of Kerr nonlinearity. We restrict our analysis for both angular and transverse offsets only since splices are highly tolerant in respect of longitudinal mismatch. Here, we apply method of iteration involving Chebyshev formalism in order to take care of Kerr nonlinearity. The concerned investigation requires very little computation. It has been shown that our results match excellently with the exact results both in absence as well as in presence of Kerr nonlinearity. Considering that prediction of exact results in presence of Kerr nonlinearity requires application of rigorous finite element technique, our formalism in this context can be treated as a simple alternative to the existing method. Thus, this user friendly method generates ample scope for many useful applications in the field of nonlinear photonics involving such kinds of fiber.

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