Faster-than-light propagation of electromagnetic solitons in nonequilibrium medium taking account of diffraction

Bugay, A. N.; Сазонов, С. В.

doi:10.1088/1464-4266/6/7/010

Cited by 21 publications

(13 citation statements)

References 14 publications

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“…The value of the amplitude at the boundary between the two regions is close to the threshold value for collapse ( Ãth ≃ 7.6) found from the mathematical condition Q(u) < 0, see Eqs. ( 19) and (20).…”

Section: Calculation Of the Collapse Thresholdmentioning

confidence: 99%

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Collapse of ultrashort spatiotemporal pulses described by the cubic generalized Kadomtsev-Petviashvili equation

2010

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By using a reductive perturbation method, we derive from Maxwell-Bloch equations, a cubic generalized Kadomtsev-Petviashvili equation for ultrashort spatiotemporal optical pulse propagation in cubic (Kerr-like) media, without the use of the slowly varying envelope approximation. We calculate the collapse threshold for the propagation of few-cycle spatiotemporal pulses described by the generic cubic generalized Kadomtsev-Petviashvili equation by a direct numerical method, and compare it to analytic results based on a rigorous virial theorem. Besides, typical evolution of the spectrum (integrated over the tranverse spatial coordinate) is given and a strongly asymmetric spectral broadening of ultrashort spatiotemporal pulses during collapse is evidenced.

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Section: Calculation Of the Collapse Thresholdmentioning

confidence: 99%

“…It is worthy to notice that the physics of the (1+1)-dimensional FCPs is well described by the generic mKdV-sG equation [16]; this quite general model was also derived and studied in Refs. [19,20].…”

Section: Introductionmentioning

confidence: 99%

Collapse of ultrashort spatiotemporal pulses described by the cubic generalized Kadomtsev-Petviashvili equation

2010

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“…One notices that the quite general model equation (4.26) was first derived and studied in Refs. [68,145].…”

Section: A Comparison Of Mkdv Sg and Mkdv-sg Models For Describing Few-cycle Solitonsmentioning

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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“…[25] that the propagation of ultrashort pulses in Kerr optical media is fairly well described by a generic mKdV-sG equation, which was also derived and studied in Refs. [35,36]. Recently, we showed that the mKdV-sG model is the most general of all approximate non-SVEA models for FCPs, and in fact contains all of them [37].…”

Section: Introductionmentioning

confidence: 99%

Ultrashort light bullets described by the two-dimensional sine-Gordon equation

Leblond

Mihalache

2010

Phys. Rev. A

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By using a reductive perturbation technique applied to a two-level model, a generic twodimensional sine-Gordon evolution equation governing the propagation of femtosecond spatiotemporal optical solitons in Kerr media beyond the slowly-varying envelope approximation is put forward. Direct numerical simulations show that, in contrast to the long-wave approximation, no collapse occurs, and that robust (2+1)-dimensional ultrashort light bullets may form from adequately chosen few-cycle input spatiotemporal waveforms. In contrast to the case of quadratic nonlinearity, the light bullets oscillate in both space and time, and are therefore not steady-state lumps.

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Faster-than-light propagation of electromagnetic solitons in nonequilibrium medium taking account of diffraction

Cited by 21 publications

References 14 publications

Collapse of ultrashort spatiotemporal pulses described by the cubic generalized Kadomtsev-Petviashvili equation

Collapse of ultrashort spatiotemporal pulses described by the cubic generalized Kadomtsev-Petviashvili equation

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

Ultrashort light bullets described by the two-dimensional sine-Gordon equation

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