Ultrashort Optical Pulse Propagation in Nonlinear Non-resonance Medium

Maĭmistov, A. I.; Elyutin, S. O.

doi:10.1080/09500349214552231

Cited by 30 publications

(15 citation statements)

References 2 publications

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“…The continuing experimental progress in the study of the wave dynamics of FCPs in nonlinear optical media has paved the way for the development of new theoretical approaches to model their propagation in physical systems. Three classes of main dynamical models for FCPs have been put forward: (i) the quantum approach [48][49][50][51][52], (ii) the refinements within the framework of SVEA of the nonlinear Schrödinger-type envelope equations [53][54][55][56][57][58][59][60][61][62][63], and the non-SVEA models [64][65][66][67][68][69][70][70][71][72][73][74][75][76][77][78][79][80][81][82]. Extremely short pulses can be described by solving directly the Maxwell-Bloch equations for a two-level system.…”

Section: Introductionmentioning

confidence: 99%

Models of few optical cycle solitons beyond the slowly varying envelope approximation

2013

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This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and education use, including for instruction at the authors institution and sharing with colleagues.Other uses, including reproduction and distribution, or selling or licensing copies, or posting to personal, institutional or third party websites are prohibited.In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit:

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Section: Introductionmentioning

confidence: 99%

Models of few optical cycle solitons beyond the slowly varying envelope approximation

2013

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“…In parallel to the fast experimental progress in the study of the formation of few-cycle pulses (FCPs) in nonlinear optical media new theoretical approaches to model their propagation in a lot of physical settings were developed. It is to be noticed that three classes of main dynamical models for FCPs have been put forward in the past years: (i) the quantum approach [9][10][11][12], (ii) the refinements within the framework of slowly varying envelope approximation (SVEA) of the nonlinear Schrödinger-type envelope equations [13][14][15][16][17][18][19][20], and the non-SVEA models [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. It was therefore found in these earlier studies that the propagation of FCPs in Kerr-type nonlinear optical media can be described beyond the SVEA by using the modified Korteweg-de Vries (mKdV) [27,28], sine-Gordon (sG) [29,30], or mKdV-sG equations [31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Derivation of a coupled system of Korteweg–de Vries equations describing ultrashort soliton propagation in quadratic media by using a general Hamiltonian for multilevel atoms

2012

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We consider the propagation of ultrashort solitons in noncentrosymmetric quadratically nonlinear optical media described by a general Hamiltonian of multilevel atoms. We use a long-wave approximation to derive a coupled system of Korteweg-de Vries equations describing ultrashort soliton evolution in such materials. This model was derived by using a rigorous application of the reductive perturbation formalism (multiscale analysis). The study of linear eigenpolarizations in the degenerate case and the corresponding formation of half-cycle solitons from few-cycle-pulse inputs are also presented.

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“…In particular, the propagation of a linearly polarized USP was considered in Refs. [2,12] in the framework of the material model based on the Duffing oscillators, the nonlinear response of the medium being cubic. The propagation of a linearly polarized USP in a dispersive medium was modeled by means of quadratically nonlinear oscillators in Ref.…”

Section: Introductionmentioning

confidence: 99%

Propagation and interaction of ultrashort electromagnetic pulses in nonlinear media with a quadratic–cubic nonlinearity

Kazantseva¹,

Maĭmistov²,

Malomed

2001

Optics Communications

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Propagation of extremely short unipolar pulses of electromagnetic field ("videopulses") is considered in the framework of a model in which the material medium is represented by anharmonic oscillators (approximating bound electrons) with quadratic and cubic nonlinearities. Two families of exact analytical solutions (with positive or negative polarity) are found for the moving solitary pulses. Direct simulations demonstrate that the pulses are very robust against perturbations. Two unipolar pulses collide nearly elastically, while collisions between pulses with opposite polarities and a small relative velocity are inelastic, leading to emission of radiation and generation of a small-amplitude additional pulse.

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Ultrashort Optical Pulse Propagation in Nonlinear Non-resonance Medium

Cited by 30 publications

References 2 publications

Models of few optical cycle solitons beyond the slowly varying envelope approximation

Models of few optical cycle solitons beyond the slowly varying envelope approximation

Derivation of a coupled system of Korteweg–de Vries equations describing ultrashort soliton propagation in quadratic media by using a general Hamiltonian for multilevel atoms

Propagation and interaction of ultrashort electromagnetic pulses in nonlinear media with a quadratic–cubic nonlinearity

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