Spatio-temporal solitary pulses in graded-index materials with Kerr nonlinearity

1995 ◽  
Vol 119 (1-2) ◽  
pp. 167-170 ◽  
Author(s):  
Shinn-Sheng Yu ◽  
Chih-Hung Chien ◽  
Yinchieh Lai ◽  
Jyhpyng Wang
Keyword(s):  
Kerr Nonlinearity ◽  
Graded Index ◽  
Spatio Temporal

scholarly journals A taxonomy of optical dissipative structures in whispering-gallery mode resonators with Kerr nonlinearity

2018 ◽  
Vol 376 (2124) ◽  
pp. 20170381 ◽  
Author(s):  
Irina V. Balakireva ◽  
Yanne K. Chembo
Keyword(s):  
Laser Field ◽  
Continuous Wave ◽  
Kerr Nonlinearity ◽  
Whispering Gallery Mode ◽  
Dissipative Structures ◽  
Basins Of Attraction ◽  
Theme Issue ◽  
Whispering Gallery ◽  
Spatio Temporal

In this paper, the research related to the formation of optical dissipative structures in Kerr-nonlinear whispering-gallery mode resonators pumped with continuous-wave lasers is reviewed. Pattern formation in these systems can be analysed using the paradigmatic Lugiato–Lefever model, which is a partial differential equation ruling the dynamics of the intra-cavity laser field. Various dissipative structures such as Turing rolls, solitons, breathers and spatio-temporal chaos can emerge in the resonator depending on the laser power and frequency. The bifurcation analysis enables a classification of these patterns, and also permits identification of their basins of attraction. This article is part of the theme issue ‘Dissipative structures in matter out of equilibrium: from chemistry, photonics and biology (part 1)’.

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.

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

Off-axial pulse propagation in graded-index materials with Kerr nonlinearity — a variational approach

1996 ◽  
Vol 128 (1-3) ◽  
pp. 145-157 ◽  
Author(s):  
Chih-Hung Chien ◽  
Shinn-Sheng Yu ◽  
Yinchieh Lai ◽  
Jyhpyng Wang
Keyword(s):  
Variational Approach ◽  
Pulse Propagation ◽  
Kerr Nonlinearity ◽  
Graded Index
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