Journal ArticleDOI
Detailed variational analysis of single mode trapezoidal index fiber involving two simple approximations of fundamental mode with comparison relating accurate prediction of propagation characteristics
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TLDR
In this paper, a detailed variational analysis of single-mode trapezoidal index fiber to investigate its propagation characteristics involving two simple approximations of fundamental mode is presented, and it is shown in respect of computation of normalized field that the single parameter variational function having Gaussian and modified Bessel variations in the core and cladding, respectively, is more accurate in comparison with the Gaussian function over a wide range of values of normalized frequency and aspect ratio.Abstract:
A detailed variational analysis of single-mode trapezoidal index fibre to investigate its propagation characteristics involving two simple approximations of fundamental mode is presented. It is shown in respect of computation of normalized field that the single parameter variational function having Gaussian and modified Bessel variations in the core and cladding, respectively, is more accurate in comparison with the Gaussian function over a wide range of values of normalized frequency and aspect ratio. Also, it predicts the propagation characteristics, more accurately, than the Gaussian function from variational and recently reported Marcuse-type formulations. Further, in terms of such range of values, a complete formulation of variational parameter for the Gaussian-modified Bessel function is prescribed for ready reference to the system users to predict the modal field and propagation characteristics.read more
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References
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Journal ArticleDOI
Variational analysis of matched-clad optical fibers
TL;DR: A variational analysis of weakly guiding optical fibers is described in this article, where a series expansion of Laguerre-Gauss functions and a modified Bessel function have been used to describe the field in the fiber core and in the uniform cladding, respectively.
Journal ArticleDOI
Variational analysis of single‐mode graded‐index fibers based on a novel approximation of the fundamental modal field
Gautam Das,Somenath Sarkar +1 more
TL;DR: In this article, Sarkar et al. proposed an extremely accurate near Gaussian approximation for the fundamental mode in single-mode couplers having arbitrary in-dex profiles.
Journal ArticleDOI
A simple and elegant technique connecting Marcuse spot size relations to variational formulations in single-mode fiber characterization
TL;DR: In this article, it is shown for the first time to the best of our knowledge that using simultaneously Marcuse relations of fiber spot sizes for single-mode graded index fibers and also variational formulation, we can more accurately and easily determine the fiber parameters for a particular normalized frequency.
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