Influence of Kerr nonlinearity on single-mode dispersion-shifted and dispersion-flattened directional couplers: analysis by a simple but accurate method

2022 ◽  
Vol 54 (2) ◽  
Author(s):  
Ramkrishna Rakshit ◽  
Angshuman Majumdar ◽  
Shubhendu Maiti ◽  
Sankar Gangopadhyay
Keyword(s):  
Single Mode ◽  
Kerr Nonlinearity ◽  
Accurate Method ◽  
Directional Couplers ◽  
Mode Dispersion

A simple but accurate method for prediction of splice loss in mono-mode dispersion shifted and dispersion flattened fibers in presence of Kerr nonlinearity

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Ramkrishna Rakshit ◽  
Angshuman Majumdar ◽  
Sankar Gangopadhyay
Keyword(s):  
Finite Element ◽  
Transmission Coefficient ◽  
Single Mode ◽  
Kerr Nonlinearity ◽  
Accurate Method ◽  
Exact Results ◽  
Mode Dispersion ◽  
Simple Alternative ◽  
Element Technique ◽  
User Friendly

Abstract 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.

A novel and accurate method for analysis of single-mode dispersion-shifted and dispersion-flattened fiber directional coupler

Optik ◽  
2018 ◽  
Vol 157 ◽  
pp. 808-816 ◽  
Author(s):  
Subhalaxmi Chakraborty ◽  
Shubhendu Maiti ◽  
Chintan Kumar Mandal ◽  
Sankar Gangopadhyay
Keyword(s):  
Directional Coupler ◽  
Single Mode ◽  
Accurate Method ◽  
Mode Dispersion

Influence of Kerr nonlinearity on group delay and modal dispersion parameters of single-mode graded index fibers: evaluation by a simple but accurate method

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Tilak Mukherjee ◽  
Angshuman Majumdar ◽  
Sankar Gangopadhyay
Keyword(s):  
Group Delay ◽  
Single Mode ◽  
Kerr Nonlinearity ◽  
Accurate Method ◽  
Dispersion Parameters ◽  
Modal Dispersion ◽  
Graded Index ◽  
Wide Range ◽  
Propagation Parameters ◽  
Modal Field

AbstractThis paper reports simple but accurate analytical expressions of group delay and modal dispersion parameters for single-mode graded index fibers over a wide range of V numbers. The formulation employs power series expression for the fundamental modal field of graded index fiber derived by Chebyshev formalism. Choosing some typical step, parabolic and triangular index fibers as examples in our present study, we use the prescribed formulations to estimate group delay and modal dispersion parameters of those fibers both in presence and absence of Kerr nonlinearity. Iterative technique is applied for prediction of concerned propagation parameters in presence of Kerr nonlinearity. Our results show excellent agreement with the numerical exact ones both in absence and presence of Kerr nonlinearity. The exact results in case of Kerr nonlinearity are obtained using cumbersome finite element method. The execution of our accurate formalism involves little computation and is thus user friendly for technologists and researchers working in the field of nonlinear optical engineering.

Analysis of optical Kerr effect on effective core area and index of refraction in single-mode dispersion shifted and dispersion flattened fibers

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Jayanta Aich ◽  
Angshuman Majumdar ◽  
Sankar Gangopadhyay
Keyword(s):  
Single Mode ◽  
Kerr Nonlinearity ◽  
Index Of Refraction ◽  
Core Area ◽  
Simple Method ◽  
Mode Dispersion ◽  
Propagation Parameters ◽  
Simple Formalism ◽  
A New Technique ◽  
Effective Index Of Refraction

Abstract A new technique is presented for computing very useful propagation parameters like effective core area and effective index of refraction of mono-mode dispersion shifted and dispersion flattened fibers both in the presence and in the absence of Kerr nonlinearity. The technique involves application of accurate but simple expressions for modal fields developed by Chebyshev formalism. The study of the influence of Kerr nonlinearity on the aforementioned parameters, however, requires the application of the method of iteration. For the purpose of such investigation, in linear as well as nonlinear region, we take some typically used dispersion shifted and dispersion flattened fibers and we show that the results found by our simple formalism are in excellent agreement with those obtained by using complex finite element method. Further, the necessary evaluation by our simple method needs very less computations. Thus, our formalism generates ample opportunity for applications in many areas in the field of nonlinear optics.

A simple but accurate method for prediction of splice loss in single-mode dispersion shifted trapezoidal as well as dispersion flattened graded and step W fibers

Optik ◽  
2013 ◽  
Vol 124 (24) ◽  
pp. 6752-6756
Author(s):  
Subhalaxmi Chakraborty ◽  
Angshuman Majumdar ◽  
Sankar Gangopadhyay
Keyword(s):  
Single Mode ◽  
Accurate Method ◽  
Splice Loss ◽  
Mode Dispersion
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