Accurate semi analytical model of an optical fiber having Kerr nonlinearity using a robust nonlinear unconstrained optimization method

2011 ◽  
Vol 284 (4) ◽  
pp. 1038-1044 ◽  
Author(s):  
Raja RoyChoudhury ◽  
Arundhati RoyChoudhury
Keyword(s):  
Optical Fiber ◽  
Unconstrained Optimization ◽  
Analytical Model ◽  
Kerr Nonlinearity ◽  
Optimization Method ◽  
Nonlinear Unconstrained Optimization

scholarly journals Generation of Continuous Variable Einstein-Podolsky-Rosen Entanglement via the Kerr Nonlinearity in an Optical Fiber

2001 ◽  
Vol 86 (19) ◽  
pp. 4267-4270 ◽  
Author(s):  
Ch. Silberhorn ◽  
P. K. Lam ◽  
O. Weiß ◽  
F. König ◽  
N. Korolkova ◽  
...  
Keyword(s):  
Optical Fiber ◽  
Kerr Nonlinearity ◽  
Continuous Variable ◽  
Einstein Podolsky Rosen

Enhancement of Kerr nonlinearity atλ= 1550 nm in an Er3+-doped optical fiber

2013 ◽  
Vol 60 (8) ◽  
pp. 674-680 ◽  
Author(s):  
H. Ghaforyan ◽  
H. R. Hamedi ◽  
A. Khaledi-Nasab ◽  
H. Jafarzadeh ◽  
S. H Asadpour ◽  
...  
Keyword(s):  
Optical Fiber ◽  
Kerr Nonlinearity

Nonlinear Optical Interactions in Optical Fibers

1998 ◽  
Vol 07 (01) ◽  
pp. 105-112 ◽  
Author(s):  
Robert W. Boyd ◽  
Eric L. Buckland
Keyword(s):  
Optical Fiber ◽  
Optical Fibers ◽  
Optical Switching ◽  
Nonlinear Optical ◽  
Pulse Propagation ◽  
Fiber Type ◽  
Kerr Nonlinearity ◽  
Optical Response ◽  
Nonlinear Optical Response ◽  
Physical Processes

We report on our research program aimed at clarifying the physical processes leading to the nonlinear optical response of silica optical fibers and at studying the implications of optical nonlinearities on optical pulse propagation and optical switching devices. The dominant physical processes leading to the nonlinear optical response of an optical fiber are nonresonant electronic polarization, with essentially instantaneous response, the Raman interaction, with sub-picosecond response, and electrostriction, with nanosecond response. We present experimental results that show the consequence of each of these processes on the propagation of a light pulse through an optical fiber. We have also performed one of the first direct measurements of the electrostrictive contribution to the nonlinear refractive index of optical fibers. We measure values ranging from 1.5 × 10-16 to 5.8 × 10-16 cm2/W , depending on fiber type. These values are comparable to that of the fast, Kerr nonlinearity (i.e., sum of electronic and Raman contributions) of 2.5 × 10-16 cm2/W . The measured electrostrictive nonlinearities are significantly larger than those predicted by simple models, and the possible explanations of this difference are discussed.

Analytical model for a polymer optical fiber under dynamic bending

2017 ◽  
Vol 93 ◽  
pp. 92-98 ◽  
Author(s):  
Arnaldo G. Leal Junior ◽  
Anselmo Frizera ◽  
Maria José Pontes
Keyword(s):  
Optical Fiber ◽  
Analytical Model ◽  
Polymer Optical Fiber ◽  
Dynamic Bending

Exact optical solitons of Radhakrishnan–Kundu–Lakshmanan equation with Kerr law nonlinearity

2019 ◽  
Vol 33 (06) ◽  
pp. 1950061 ◽  
Author(s):  
Behzad Ghanbari ◽  
Mustafa Inc ◽  
Abdullahi Yusuf ◽  
Mustafa Bayram
Keyword(s):  
Optical Fiber ◽  
Rational Function ◽  
Function Method ◽  
Nonlinear Partial Differential Equations ◽  
Kerr Nonlinearity ◽  
Optical Solitons ◽  
Kerr Law ◽  
Kerr Law Nonlinearity ◽  
Exponential Rational Function Method ◽  
Special Case

A new generalized exponential rational function method (GERFM) is used to acquire some new optical solitons of Radhakrishnan–Kundu–Lakshmanan (RKL) equation with Kerr nonlinearity. This equation is used to model propagation of solitons through an optical fiber. The well-known exponential rational function method is also a special case of the GERFM. The results reveal that the mentioned method is efficient and simple for solving different nonlinear partial differential equations.

A NEW COEFFICIENT OF CONJUGATE GRADIENT METHODS FOR NONLINEAR UNCONSTRAINED OPTIMIZATION

2016 ◽  
Vol 78 (6-4) ◽  
Author(s):  
Nur Syarafina Mohamed ◽  
Mustafa Mamat ◽  
Fatma Susilawati Mohamad ◽  
Mohd Rivaie
Keyword(s):  
Unconstrained Optimization ◽  
Conjugate Gradient ◽  
Optimization Problems ◽  
Gradient Methods ◽  
Standard Test ◽  
Processing Unit ◽  
Central Processing ◽  
Exact Line Search ◽  
Unconstrained Optimization Problems ◽  
Nonlinear Unconstrained Optimization

Conjugate gradient (CG) methods are widely used in solving nonlinear unconstrained optimization problems such as designs, economics, physics and engineering due to its low computational memory requirement. In this paper, a new modifications of CG coefficient ( ) which possessed global convergence properties is proposed by using exact line search. Based on the number of iterations and central processing unit (CPU) time, the numerical results show that the new  performs better than some other well known CG methods under some standard test functions.

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