Soliton analysis with the propagating beam method

Yevick, David; Hermansson, B.

doi:10.1016/0030-4018(83)90095-0

Cited by 66 publications

(16 citation statements)

References 8 publications

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“…This equation describes the combined effect of dispersion and nonlinearity on the pulse inside the fiber. It can be numerically solved using Split Step Fourier Transform (SSFT) [10], [12]. The dispersion is responsible for temporal broadening of the pulse and in particular anomalous dispersion leads to negative chirp across the input pulse.…”

Section: Non-linear Pulse Propagation In Optical Fibersmentioning

confidence: 99%

Joint time-frequency analysis of ultrashort soliton propagation in nonlinear optical fibers

Gupta

Azaña

2006

Photonics North 2006

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In this work, the problem of propagation of ultrashort optical solitons through a non-linear optical fiber is investigated in the joint Time-Frequency (TF) domain using optimized representations [i.e. Wigner-Ville (WV) Distribution or WVSpectrograms with reduced cross-term interferences]. Based on these optimized representations, complete numerical simulations for nonlinear propagation of solitons were carried out. In particular we have analyzed the evolution of second and third order solitons and soliton interaction in optical fibers using joint TF representations.

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Section: Non-linear Pulse Propagation In Optical Fibersmentioning

confidence: 99%

Joint time-frequency analysis of ultrashort soliton propagation in nonlinear optical fibers

Gupta

Azaña

2006

Photonics North 2006

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“…In most cases, (1) and its modifications cannot be solved analytically and one has to use numerical approaches. Here we will use the most commonly applied numerical scheme for solving the NLSE, the so-called split-step Fourier transform (SSFT) method [13]. In order to characterize the fiber distances over which dispersive and nonlinear effects are important, two parameters are usually used, namely, the dispersion length L D and the nonlinear length L NL , [1] …”

Section: Theoretical Fundamentsmentioning

confidence: 99%

Time-Frequency (Wigner) Analysis of Linear and Nonlinear Pulse Propagation in Optical Fibers

Azaña

2005

EURASIP J. Adv. Signal Process.

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Time-frequency analysis, and, in particular, Wigner analysis, is applied to the study of picosecond pulse propagation through optical fibers in both the linear and nonlinear regimes. The effects of first- and second-order group velocity dispersion (GVD) and self-phase modulation (SPM) are first analyzed separately. The phenomena resulting from the interplay between GVD and SPM in fibers (e.g., soliton formation or optical wave breaking) are also investigated in detail. Wigner analysis is demonstrated to be an extremely powerful tool for investigating pulse propagation dynamics in nonlinear dispersive systems (e.g., optical fibers), providing a clearer and deeper insight into the physical phenomena that determine the behavior of these systems

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“…In case of BPM the pulse shape after completing A segment q( + A) is expressed as a function of the input pulse q(C) by the expression [9]: q(r, C+AC)= G. H(G . q(r, ç))G. g(v, )+o(Aç3).…”

Section: Introductionmentioning

confidence: 99%