On the diffraction of ultrashort pulses

Розанов, Н. Н.

doi:10.1134/1.1604439

Cited by 8 publications

(7 citation statements)

References 7 publications

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“…Second, nonlinear interfaces are a core element in proposed all-optical devices, such as optical switches or all-optical gates. The late 70s and early 80s witnessed pioneering works on nonlinear interfaces [1][2][3][4][5][6][7]. NSWs were first described in 1980 [4], when a linear/Kerr-type nonlinear interface was found to accommodate localized solutions, that preserve their shape while travelling along the planar boundary.…”

Section: Introductionmentioning

confidence: 99%

“…The stability [16] and excitation [9,17] of NSWs have been commonly studied in both single interface and nonlinear waveguide contexts. Soliton breakup at nonlinear interfaces was predicted in numeric simulations of Rozanov [3]. Studying linear/Kerr-type interfaces, he described how the field entering the second medium is perturbed by the interface, and subsequently breaks up into multiple soliton-like beams.…”

Section: Introductionmentioning

confidence: 99%

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Black and gray Helmholtz-Kerr soliton refraction

2011

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Refraction of black and gray solitons at boundaries separating different defocusing Kerr media is analyzed within a Helmholtz framework. A universal nonlinear Snell's law is derived that describes gray soliton refraction, in addition to capturing the behavior of bright and black Kerr solitons at interfaces. Key regimes, defined by beam and interface characteristics, are identified and predictions are verified by full numerical simulations. The existence of a unique total non-refraction angle for gray solitons is reported; both internal and external refraction at a single interface is shown possible (dependent only on incidence angle). This, in turn, leads to the proposal of positive or negative lensing operations on soliton arrays at planar boundaries.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Black and gray Helmholtz-Kerr soliton refraction

2011

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“…Neglecting quantum fluctuations, the equation (60) is written in the following dimensionless form, which coincides with that adopted in our previous works at E in = 0, see [1,13]:…”

Section: Classical Theory Of a Driven Laser With Saturable Absorbermentioning

confidence: 95%

“…However, currently there are no studies of quantum fluctuations of spatial dissipative solitons in another scheme -a wide-aperture laser with saturable absorption. Such a scheme, proposed in [13] (for an analysis of the subsequent studies of this scheme, see [1]), compares favourably with the scheme of an interferometer with a high-intensity contrast in the centre of the soliton in comparison to its periphery. The development of the † deceased theory of quantum effects for such laser solitons is the main goal of this report.…”

Section: Introductionmentioning

confidence: 98%

Quantum theory of laser soliton

et al. 2019

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The Heisenberg-Langevin equation for a spatial laser soliton in a wide-aperture laser with saturable absorption is constructed within the framework of consistent quantum electrodynamics. We discuss in detail the canonical variables for the generation field and the material two-level medium, consisting of centres providing amplification and absorption. It is assumed that laser generation evolves in time much more slowly than an atomic media. This assumption makes it possible to apply the adiabatic approximation and construct a closed equation for the amplitude of a laser field. Much attention is paid to the formulation of Langevin sources when deriving the equation since they play a decisive role in the formation of solitons' quantum statistical features. To provide an appropriate procedure for observing the quantum squeezing of a soliton, synchronization of laser generation by an external weak electromagnetic field is considered. Here we also present the results of the analysis of a classical laser soliton (neglecting the quantum fluctuations), which serves as the basis for further consideration of quantum effects.

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“…Then one analyzes the diffraction of each of those waves and finally the resulting monochrome diffraction fields sum back to form a scattered pulse. Rather widely used [2,3,4], this method implies reconsideration of developed solutions of classical diffraction problems to take into account some second-order components. Thrown away in the conventional theory as contributing only small phase correction for rather law frequencies, they become significant for high frequency components of the field.…”

Section: Introductionmentioning

confidence: 99%