Variational analysis of single‐mode graded‐index fibers based on a novel approximation of the fundamental modal field

1996 ◽  
Vol 35 (12) ◽  
pp. 3413 ◽  
Author(s):  
Gautam Das
Keyword(s):  
Variational Analysis ◽  
Single Mode ◽  
Graded Index ◽  
Modal Field

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.

A variational analysis of single mode graded-index fibers

1981 ◽  
Vol 36 (1) ◽  
pp. 22-24 ◽  
Author(s):  
Anurag Sharma ◽  
A.K. Ghatak
Keyword(s):  
Variational Analysis ◽  
Single Mode ◽  
Graded Index

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.

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.

Estimation of the modal field profile of single mode graded-index fibers from the far-field pattern

1982 ◽  
Vol 44 (2) ◽  
pp. 94-99 ◽  
Author(s):  
Ramanand Tewari ◽  
K. Thyagarajan ◽  
B.P. Pal ◽  
A.K. Ghatak
Keyword(s):  
Single Mode ◽  
Field Pattern ◽  
Far Field ◽  
Field Profile ◽  
Graded Index ◽  
Modal Field ◽  
Far Field Pattern

A Simple Method for Prediction of Effective Core Area and Index of Refraction of Single-mode Graded Index Fiber in the Low V Region

2014 ◽  
Vol 35 (4) ◽  
Author(s):  
Angshuman Majumdar ◽  
Satabdi Das ◽  
Sankar Gangopadhyay
Keyword(s):  
Refractive Index ◽  
Single Mode ◽  
Index Of Refraction ◽  
Core Area ◽  
Exact Results ◽  
Simple Method ◽  
Graded Index ◽  
Core Areas ◽  
V Region ◽  
User Friendly

AbstractBased on the simple power series formulation of fundamental mode developed by Chebyshev formalism in the low V region, we prescribe analytical expression for effective core area of graded index fiber. Taking step and parabolic index fibers as examples, we estimate the effective core areas as well as effective refractive index for different normalized frequencies (V number) having low values. We also show that our estimations match excellently with the available exact results. The concerned predictions by our method require little computation. Thus, this simple but accurate formalism will be user friendly for the system engineers.

Scalar variational analysis of single mode, graded-core, W-type fibres

1984 ◽  
Vol 16 (4) ◽  
pp. 287-296 ◽  
Author(s):  
Prasanna K. Mishra ◽  
S. I. Hosain ◽  
I. C. Goyal ◽  
Anurag Sharma
Keyword(s):  
Variational Analysis ◽  
Single Mode
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