Pulse propagation in a nonlinear optical fibre of parabolic index profile by direct numerical solution of the Gel'fand—Levitan integral equations

P.V. Frangos; D.J. Frantzeskakis; C.N. Capsalis

doi:10.1049/ip-j.1993.0024

Pulse propagation in a nonlinear optical fibre of parabolic index profile by direct numerical solution of the Gel'fand—Levitan integral equations

IEE Proceedings J Optoelectronics ◽

10.1049/ip-j.1993.0024 ◽

1993 ◽

Vol 140 (2) ◽

pp. 141 ◽

Cited By ~ 4

Author(s):

P.V. Frangos ◽

D.J. Frantzeskakis ◽

C.N. Capsalis

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Optical Fibre ◽

Nonlinear Optical ◽

Pulse Propagation ◽

Index Profile ◽

Direct Numerical Solution

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Design of corrugated optical waveguide filters through a direct numerical solution of the coupled Gel’fand–Levitan–Marchenko integral equations

Journal of the Optical Society of America A ◽

10.1364/josaa.19.001005 ◽

2002 ◽

Vol 19 (5) ◽

pp. 1005 ◽

Cited By ~ 6

Author(s):

Christos Papachristos ◽

Panayiotis Frangos

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Optical Waveguide ◽

Waveguide Filters ◽

Direct Numerical Solution

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Gaussian pulse propagation in nonlinear optical fibre

Electronics Letters ◽

10.1049/el:19830650 ◽

1983 ◽

Vol 19 (23) ◽

pp. 956 ◽

Cited By ~ 10

Author(s):

P.L. Chu ◽

C. Desem

Keyword(s):

Optical Fibre ◽

Nonlinear Optical ◽

Pulse Propagation ◽

Gaussian Pulse

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A remark on the application of closed and semi-closed quadrature rules to the direct numerical solution of singular integral equations

Journal of Computational Physics ◽

10.1016/0021-9991(81)90252-7 ◽

1981 ◽

Vol 42 (2) ◽

pp. 396-402 ◽

Cited By ~ 1

Author(s):

Nikolaos I. Ioakimidis

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Quadrature Rules ◽

Direct Numerical Solution

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A modification of the quadrature method for the direct numerical solution of singular integral equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(84)90126-9 ◽

1984 ◽

Vol 46 (1) ◽

pp. 1-13 ◽

Cited By ~ 5

Author(s):

N.I. Ioakimidis

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Quadrature Method ◽

Direct Numerical Solution

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Beam Propagation in a Nonlinear Optical Fibre of Infinite Power-Law Index Profile

Physica Scripta ◽

10.1238/physica.regular.059a00446 ◽

1999 ◽

Vol 59 (6) ◽

pp. 446-453 ◽

Cited By ~ 4

Author(s):

Zlatko Jovanoski

Keyword(s):

Optical Fibre ◽

Power Law ◽

Nonlinear Optical ◽

Beam Propagation ◽

Index Profile ◽

Infinite Power ◽

Power Law Index

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Effect of grading in refractive index profile on Kerr nonlinear optical processes in single-mode sub-wavelength diameter optical fibre using a straightforward method

Journal of Modern Optics ◽

10.1080/09500340.2016.1216193 ◽

2016 ◽

Vol 64 (2) ◽

pp. 156-163

Author(s):

Arunangshu Sadhu ◽

Somenath Sarkar

Keyword(s):

Refractive Index ◽

Optical Fibre ◽

Nonlinear Optical ◽

Single Mode ◽

Refractive Index Profile ◽

Index Profile ◽

Straightforward Method ◽

Sub Wavelength

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Numerical solution of linear Volterra integral equations of the second kind with sharp gradients

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.03.029 ◽

2011 ◽

Vol 235 (14) ◽

pp. 4283-4301 ◽

Cited By ~ 11

Author(s):

Samuel A. Isaacson ◽

Robert M. Kirby

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Linear Volterra Integral Equations

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Research on GPU parallel algorithm for direct numerical solution of two-dimensional compressible flows

The Journal of Supercomputing ◽

10.1007/s11227-021-03704-9 ◽

2021 ◽

Author(s):

Yongzhen Wang ◽

Xuefeng Yan ◽

Jun’an Zhang

Keyword(s):

Numerical Solution ◽

Parallel Algorithm ◽

Compressible Flows ◽

Two Dimensional ◽

Direct Numerical Solution

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Numerical solution of the integral equations of the electromagnetic field in geosteering problems

Journal of Physics Conference Series ◽

10.1088/1742-6596/1715/1/012028 ◽

2021 ◽

Vol 1715 ◽

pp. 012028

Author(s):

A.V. Bondarenko ◽

N. N. Velker ◽

D.Yu. Kushnir ◽

G.V. Dyatlov ◽

Yu.A. Dashevsky

Keyword(s):

Electromagnetic Field ◽

Numerical Solution ◽

Integral Equations

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Comparative study of neural network architectures for modelling nonlinear optical pulse propagation

Optical Fiber Technology ◽

10.1016/j.yofte.2021.102540 ◽

2021 ◽

Vol 64 ◽

pp. 102540

Author(s):

Naveenta Gautam ◽

Amol Choudhary ◽

Brejesh Lall

Keyword(s):

Neural Network ◽

Comparative Study ◽

Nonlinear Optical ◽

Optical Pulse ◽

Pulse Propagation ◽

Network Architectures ◽

Optical Pulse Propagation ◽

Neural Network Architectures

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