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 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.

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 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.

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

A simple but accurate formalism for study of single-mode graded index fiber directional coupler in presence of Kerr nonlinearity

Optik ◽  
2020 ◽  
Vol 213 ◽  
pp. 164772
Author(s):  
Tilak Mukherjee ◽  
Shubhendu Maiti ◽  
Angshuman Majumdar ◽  
Sankar Gangopadhyay
Keyword(s):  
Directional Coupler ◽  
Single Mode ◽  
Kerr Nonlinearity ◽  
Graded Index

Low loss hollow-core waveguide on a silicon substrate

Nanophotonics ◽  
2012 ◽  
Vol 1 (1) ◽  
pp. 23-29 ◽  
Author(s):  
Weijian Yang ◽  
James Ferrara ◽  
Karen Grutter ◽  
Anthony Yeh ◽  
Chris Chase ◽  
...  
Keyword(s):  
Low Cost ◽  
Sensor Arrays ◽  
Optical Loss ◽  
Single Mode ◽  
Single Mode Fiber ◽  
Silicon On Insulator ◽  
Hollow Core ◽  
Linear Optics ◽  
Low Loss ◽  
Non Linear Optics

AbstractOptical-fiber-based, hollow-core waveguides (HCWs) have opened up many new applications in laser surgery, gas sensors, and non-linear optics. Chip-scale HCWs are desirable because they are compact, light-weight and can be integrated with other devices into systems-on-a-chip. However, their progress has been hindered by the lack of a low loss waveguide architecture. Here, a completely new waveguiding concept is demonstrated using two planar, parallel, silicon-on-insulator wafers with high-contrast subwavelength gratings to reflect light in-between. We report a record low optical loss of 0.37 dB/cm for a 9-μm waveguide, mode-matched to a single mode fiber. Two-dimensional light confinement is experimentally realized without sidewalls in the HCWs, which is promising for ultrafast sensing response with nearly instantaneous flow of gases or fluids. This unique waveguide geometry establishes an entirely new scheme for low-cost chip-scale sensor arrays and lab-on-a-chip applications.

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