Wave-front dislocations: topological limitations for adaptive systems with phase conjugation

Baranova, N. B.; Мамаев, А. В.; Pilipetsky, Nikolai F.; Shkunov, V. V.; Zel'dovich, Boris Ya

doi:10.1364/josa.73.000525

Cited by 193 publications

(62 citation statements)

References 3 publications

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“…They are associated with singularity of the phase (phase defects) which appears as topological defects of the interferograms. These class of phase defects has important phenomenological consequences connected to the optical vortices [31,32,33,34] (see also Refs. [35,36] and references therein).…”

Section: Helicoidal Wavefrontsmentioning

confidence: 99%

High Frequency Integrable Regimes in Nonlocal Nonlinear Optics

Moro

Konopelchenko

2012

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We consider an integrable model which describes light beams propagating in nonlocal nonlinear media of Cole-Cole type. The model is derived as high frequency limit of both Maxwell equations and the nonlocal nonlinear Schrödinger equation. We demonstrate that for a general form of nonlinearity there exist selfguided light beams. In high frequency limit nonlocal perturbations can be seen as a class of phase deformation along one direction. We study in detail nonlocal perturbations described by the dispersionless Veselov-Novikov (dVN) hierarchy. The dVN hierarchy is analyzed by the reduction method based on symmetry constraints and by the quasiclassical∂−dressing method. Quasiclassical∂−dressing method reveals a connection between nonlocal nonlinear geometric optics and the theory of quasiconformal mappings of the plane.

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Section: Helicoidal Wavefrontsmentioning

confidence: 99%

High Frequency Integrable Regimes in Nonlocal Nonlinear Optics

Moro

Konopelchenko

2012

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“…Within the framework of vector singular optics, one considers the set of L lines (lines along which polarization is linear, with smoothly varying azimuth of polarization and the handedness of the electric field undetermined) and C points (where polarization is circular and the azimuth of polarization is undetermined). Note that L lines and C points are defined at the observation plane; one considers L surfaces ("envelopes") and C lines (analogs of "snake-like distortions" of the wave front in scalar singular optics [11]) in three dimensions. The significance of the aforementioned elements of vector optical fields is that they constitute the particular skeleton of the field, so that by knowing the characteristics of such elements, one can very reliably predict the behavior of polarization parameters in the areas between them.…”

Section: Introductionmentioning

confidence: 99%

Generation of U and P Singularities in Partially Coherent Beams Using Intensity Control

Peng

Guo

et al. 2017

Current Optics and Photonics

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It is shown that polarization singularities of a new type, namely U and P singularities, arise at the transverse cross section of a partially coherent beam, instead of the common singularities such as C points and L lines in a completely coherent vector field. A relationship between the two kind of singularities with respect to intensity is proposed. We also present a setup that can generate the new singularities, and any desired distribution of degree of polarization, using intensity control.

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“…Imposing of an off-axis coherent reference wave onto the studied field (the interference technique) is a reliable tool for diagnostics of amplitude zeroes [4][5][6]. The interference fringes in the vicinity of the amplitude zeros will bifurcate and form so-called interference "forklets" which are easily diagnosed visually.…”

Section: Introductionmentioning

confidence: 99%

Spatial Behaviour of Singularities in Fractal- and Gaussian Speckle Fields

Angelsky¹,

Maksimyak²,

Maksimyak³

et al. 2009

TOOPTSJ

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Peculiarities of the spatial behaviour of the dislocation lines resulting from scattering of coherent radiation from random and fractal rough surfaces are studied. The technique of optical correlation is proposed for diagnostics of phase singularities in a complex speckle field by comparing the correlation lengths of amplitude and intensity of the local fields. It is shown that the dislocation lines in the field scattered by a fractal surface have fractal properties, while the dislocation lines scattered off a random surface have no fractal properties.

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Wave-front dislocations: topological limitations for adaptive systems with phase conjugation

Cited by 193 publications

References 3 publications

High Frequency Integrable Regimes in Nonlocal Nonlinear Optics

High Frequency Integrable Regimes in Nonlocal Nonlinear Optics

Generation of U and P Singularities in Partially Coherent Beams Using Intensity Control

Spatial Behaviour of Singularities in Fractal- and Gaussian Speckle Fields

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