Stable propagation of ultrashort optical pulses in modified higher-order nonlinear Schroedinger equation

Here we examine a new application of the adaptive detectors based on non-steady-state photo-electro-motive force effect for the detection of higher order correlation functions, aiming the estimation of the parameters of ultra short optical pulses arranged in high-repetition trains. For this purpose three beam interferometer scheme with two signal beams modulated at different frequencies is proposed. Theoretical analysis of non-steady-state photo-EMF current generated by light distribution formed by superposition of three waves is performed and the possibility to detect simultaneously second and higher order correlation function is demonstrated. Potential advantages and disadvantages of such detection scheme for measuring the higher order auto-correlations functions are discussed.

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Propagation of ultrashort optical pulses for nonconservative systems with higher order effect

Journal of Physics B Atomic Molecular and Optical Physics ◽

10.1088/0953-4075/37/21/006 ◽

2004 ◽

Vol 37 (21) ◽

pp. 4295-4307 ◽

Cited By ~ 2

Author(s):

Huiping Tian ◽

Jinping Tian ◽

Zhonghao Li ◽

Guosheng Zhou

Keyword(s):

Order Effect ◽

Higher Order ◽

Optical Pulses ◽

Nonconservative Systems ◽

Ultrashort Optical Pulses

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Modulational instability and dynamics of implicit higher-order rogue wave solutions for the Kundu equation

Modern Physics Letters B ◽

10.1142/s0217984918500057 ◽

2018 ◽

Vol 32 (01) ◽

pp. 1850005 ◽

Cited By ~ 7

Author(s):

Xiao-Yong Wen ◽

Guoqiang Zhang

Keyword(s):

Rogue Wave ◽

Modulational Instability ◽

Higher Order ◽

Rational Solutions ◽

Optical Pulses ◽

Propagation Process ◽

First Order ◽

Ultrashort Optical Pulses ◽

Dynamical Behaviors ◽

Perturbation Formula

Under investigation in this paper is the Kundu equation, which may be used to describe the propagation process of ultrashort optical pulses in nonlinear optics. The modulational instability of the plane-wave for the possible reason of the formation of the rogue wave (RW) is studied for the system. Based on our proposed generalized perturbation [Formula: see text]-fold Darboux transformation (DT), some new higher-order implicit RW solutions in terms of determinants are obtained by means of the generalized perturbation [Formula: see text]-fold DT, when choosing different special parameters, these results will reduce to the RW solutions of the Kaup–Newell (KN) equation, Chen–Lee–Liu (CLL) equation and Gerjikov–Ivanov (GI) equation, respectively. The relevant wave structures are shown graphically, which display abundant interesting wave structures. The dynamical behaviors and propagation stability of the first-order and second-order RW solutions are discussed by using numerical simulations, the higher-order nonlinear terms for the Kundu equation have an impact on the propagation instability of the RW. The method can also be extended to find the higher-order RW or rational solutions of other integrable nonlinear equations.

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