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.

A Novel and Simple Formalism for Study of Effect of Kerr Nonlinearity on Petermann I and II Spot Sizes of Single-Mode-Graded Index Fiber

2019 ◽  
Vol 0 (0) ◽  
Author(s):  
Jayanta Aich ◽  
Anup Kumar Maiti ◽  
Angshuman Majumdar ◽  
Sankar Gangopadhyay
Keyword(s):  
Power Series ◽  
Single Mode ◽  
Kerr Nonlinearity ◽  
Linear Optics ◽  
Graded Index ◽  
Non Linear Optics ◽  
Simple Formalism ◽  
Element Technique ◽  
Modal Field ◽  
Analytical Expressions

AbstractWe present investigation of Petermann I and II spot sizes in the presence of Kerr nonlinearity. Our study is based on the simple power series formulation for fundamental modal field of single-mode-graded index fiber developed by Chebyshev formalism. Based on the said power series expression in the absence of nonlinearity, analytical expressions of the said spot sizes can be prescribed. Using the analytical expressions of the said spot sizes in the absence of nonlinearity, we apply iterative technique in order to predict the said propagation characteristics in presence of Kerr nonlinearity. In this context, we choose some typical single-mode step and parabolic index fibers. We show that the our results agree excellently with the exact results which can be obtained by using rigorous finite-element technique. This leads to verification of accuracy of our simple technique. Moreover, evaluation of the concerned parameters by our formalism involves little computation. Thus, our method provides an accurate but simple alternative to the existing rigorous methods in this context. Accordingly, this novel and simple formalism will prove user friendly to the system engineers in the field non linear optics.

Prediction of First Higher Order Modal Field for Graded Index Fiber in Presence of Kerr Nonlinearity

2020 ◽  
Vol 41 (4) ◽  
pp. 385-391 ◽  
Author(s):  
Subhalaxmi Chakraborty ◽  
Chintan Kumar Mandal ◽  
Sankar Gangopadhyay
Keyword(s):  
Kerr Nonlinearity ◽  
Higher Order ◽  
Accurate Estimation ◽  
Optical Technology ◽  
Dual Mode ◽  
Graded Index ◽  
Propagation Parameters ◽  
Simple Formalism ◽  
Modal Field ◽  
User Friendly

AbstractWe report evaluation of first higher order modal field for dual mode optical fiber having step and parabolic index profiles. The study is carried out both in absence as well as in presence of Kerr nonlinearity. The analysis is based on a simple iterative method involving Chebyshev formalism. Taking some typical step- and parabolic-index fibers as examples, we show that our results agree excellently with the exact results which can be obtained by applying rigorous methods. Thus, our simple formalism stands the merit of being considered as an accurate alternative to the existing cumbersome methods. The prescribed formalism provides scope for accurate estimation of different propagation parameters associated with first higher order mode in such kinds of fibers in presence of Kerr nonlinearity. The execution of formalism being user friendly, it will be beneficial to the system engineers working in the field of optical technology.

Prediction of Fundamental Modal Field for Graded Index Fiber in the Presence of Kerr Nonlinearity

2019 ◽  
Vol 41 (1) ◽  
pp. 67-72 ◽  
Author(s):  
Subhalaxmi Chakraborty ◽  
Chintan Kumar Mandal ◽  
Sankar Gangopadhyay
Keyword(s):  
Power Series ◽  
Iterative Method ◽  
Single Mode ◽  
Kerr Nonlinearity ◽  
Exact Results ◽  
Propagation Characteristics ◽  
Graded Index ◽  
Modal Noise ◽  
Modal Field ◽  
Simple Fashion

Abstract The power series formulation for modal field of single-mode graded index fibers by Chebyshev technique has worked excellently in predicting accurately different propagation characteristics in simple fashion. Here we develop a simple iterative method involving Chebyshev formalism to predict the modal field of single-mode graded index fiber in the presence of Kerr-type nonlinearity. Taking step and parabolic index fibers as typical examples, we show that our results match excellently with the available exact results obtained vigorously. Thus, the reported technique can be considered as an accurate alternative to the existing cumbersome techniques. Accordingly, this formalism will be beneficial to the technologies for evaluation of modal noise in single-mode Kerr-type nonlinear graded index fibers.

Study on Coupling of Step and Graded Index Single Mode Optical Fiber Considering the Transverse Misalignment

2020 ◽  
Vol 8 (2) ◽  
pp. 78-82
Author(s):  
Prosenjit Roy Chowdhury ◽  
◽  
Keyword(s):  
Optical Fiber ◽  
Communication Systems ◽  
Structural Parameters ◽  
Fractional Power ◽  
Single Mode ◽  
Spot Size ◽  
Fiber Coupling ◽  
Fundamental Parameters ◽  
Graded Index ◽  
Wide Range

"Advance design and day to day up-gradation of communication system is the requirement of international telecommunication. The optical communication systems involve the effective fiber coupling or splicing to meet the need of long communication channel. When the studies on both the intensive and extensive properties of optical fiber are exploring new research horizons, the effectiveness of such systems can be calibrated with transmission parameters like transmitted fractional power, which is a function of ‘spot size’ as well. Our study of fiber junctions based on fundamental parameters like wavelength, fiber profile index etc. has touched some unrevealed areas and explored some interesting results. The profile index of optical fiber has received less attention compared to other structural parameters of optical fiber but our study at important wavelengths for different profiles has shown that the less-used fiber profiles has some interesting premier outcomes, which can introduce some significant impact on optical fiber based system design and engineering. We have observed almost frequency or wavelength independent transmitted fractional power around the most used 1.55 micrometer wavelengths at some rarely used fiber profile index. Our study predicts the best and worst fiber profiles for transmitted fractional power (T ), at the same time, we have observed the fiber profile index independent region for a band of ‘T’ values. The reporting and its approach are found to be premier in this field. So, our work is reporting a comparison of effective fiber-to-fiber coupling, based on fiber profile index of different fibers. It is also giving a clear view of the wavelength dependency of effective fiber coupling for different fibers having wide range of graded fiber profiles."

Evaluation of Splice Loss of Single-Mode Graded Index Fiber in Presence of Kerr Nonlinearity

Optik ◽  
2020 ◽  
Vol 203 ◽  
pp. 163962 ◽  
Author(s):  
Shubhendu Maiti ◽  
Angshuman Majumdar ◽  
Salil Kumar Biswas ◽  
Sankar Gangopadhyay
Keyword(s):  
Single Mode ◽  
Kerr Nonlinearity ◽  
Graded Index ◽  
Splice Loss
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