Linear and Nonlinear Femtosecond Optics in Isotropic Media - Ionization-Free Filamentation

Kovachev, Kamen L.; Kovachev, Lubomir M.

doi:10.5772/23213

Cited by 9 publications

(14 citation statements)

References 31 publications

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“…As it was pointed in [13][14][15], the filamentation process can be described more correctly by using the generalized nonlinear operator…”

Section: Theory: Nonlinear Polarization and Basic System Of Equationsmentioning

confidence: 93%

Nonlinear mechanisms to Rogue events in the process of interaction between optical filaments

Kovachev,

Georgieva

2015

Preprint

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We investigate two types of nonlinear interaction between collinear femtosecond laser pulses with power slightly above the critical for self-focusing Pcr. In the first case we study energy exchange between filaments. The model describes this process through degenerate four-photon parametric mixing (FPPM) scheme and requests initial phase difference between the waves. When there are no initial phase difference between the pulses, the FPPM process does not work. In this case it is obtained the second type of interaction as merging between two, three or four filaments in a single filament with higher power. It is found that in the second case the interflow between the filaments has potential of interaction due to cross-phase modulation (CPM).

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“…As it was pointed in [13][14][15], the filamentation process can be described more correctly by using the generalized nonlinear operator…”

Section: Theory: Nonlinear Polarization and Basic System Of Equationsmentioning

confidence: 93%

Nonlinear mechanisms to Rogue events in the process of interaction between optical filaments

Kovachev,

Georgieva

2015

Preprint

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“…The one-dimensional scalar nonlinear amplitude equation which describes the propagation of optical pulses in isotropic waveguide with Kerr-type nonlinearity in Cartesian coordinate system is [2,7,8] :…”

Section: Solution Of the Nonlinear Amplitude Equationmentioning

confidence: 99%

Comparison of soliton solutions of the nonlinear Schrödinger equation and the nonlinear amplitude equation

Dakova¹,

Dakova

Kovachev³

2015

18th International School on Quantum Electronics: Laser Physics and Applications

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It is known that the Nonlinear Schrödinger equation (NLSE) very well describes the evolution of nanosecond and picosecond pulses in isotropic nonlinear dispersive medium. For exploration the propagation of femtosecond and attosecond light pulses it is necessary to be used the more general nonlinear amplitude equation. Therefore it is important to clarify the difference between the solutions of these two equations.In the present paper are investigated the one-dimensional soliton solutions of the NLSE and the nonlinear amplitude equation describing the evolution of optical pulses in a single-mode fiber with negative dispersion of the group velocity. It is shown that for a fundamental soliton the main difference between the two solutions is in the phases of the pulses. It is also seen that the soliton obtained in our work is with the same width as this of the NLSE but with an amplitude 2 times greater.

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“…The equation governing the evolution of broad-band and narrow-band pulses in Kerr-type nonlinear dispersive isotropic medium, is [2,8,19]:…”

Section: Basic Equationmentioning

confidence: 99%

Higher order solitons in non-paraxial optics

Dakova

Slavchev²,

Dakova

et al. 2017

SPIE Proceedings

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The well-known (1+1D) nonlinear Schrödinger equation (NSE) governs the propagation of narrow-band pulses in optical fibers and others one-dimensional structures. For exploration the evolution of broad-band optical pulses (femtosecond and attosecond) it is necessary to use the more general nonlinear amplitude equation (GNAE) which differs from NSE with two additional non-paraxial terms. That is way, it is important to make clear the difference between the solutions of these two equations. We found a new analytical soliton solution of GNAE and compare it with the well-known NSE one. It is shown that for the fundamental soliton the main difference between the two solutions is in their phases. It appears that, this changes significantly the evolution of optical pulses in multisoliton regime of propagation and admits a behavior different from that of the higher-order NSE solitons.

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Linear and Nonlinear Femtosecond Optics in Isotropic Media - Ionization-Free Filamentation

Cited by 9 publications

References 31 publications

Nonlinear mechanisms to Rogue events in the process of interaction between optical filaments

Nonlinear mechanisms to Rogue events in the process of interaction between optical filaments

Comparison of soliton solutions of the nonlinear Schrödinger equation and the nonlinear amplitude equation

Higher order solitons in non-paraxial optics

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