Characteristics of scalar random field and its vortex networks. Recovery of the optical phase

Galushko, Yu.; Mokhun, Igor I.

doi:10.1088/1464-4258/11/9/094017

Cited by 17 publications

(7 citation statements)

References 14 publications

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“…Such an interpretation of the stochastic field structure leads to new phase-reconstruction algorithms based on the analysis of the intensity distribution [30][31][32]. Moreover, it clarifies the speckle formation mechanism.…”

Section: Stochastic Structured Light: Speckle Fieldsmentioning

confidence: 94%

Structured Light: Ideas and Concepts

et al. 2020

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The paper briefly presents some essential concepts and features of light fields with strong spatial inhomogeneity of amplitude, phase, polarization, and other parameters. It contains a characterization of optical vortices, speckle fields, polarization singularities. A special attention is paid to the field dynamical characteristics (energy, momentum, angular momentum, and their derivatives), which are considered not only as mechanical attributes of the field but also as its meaningful and application-oriented descriptive parameters. Peculiar features of the light dynamical characteristics in inhomogeneous and dispersive media are discussed. The dynamical properties of paraxial beams and evanescent waves (including surface plasmon-polaritons) are analyzed in more detail; in particular, a general treatment of the extraordinary spin and momentum, orthogonal to the main propagation direction, is outlined. Applications of structured light fields for optical manipulation, metrology, probing, and data processing are described.

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Section: Stochastic Structured Light: Speckle Fieldsmentioning

confidence: 94%

Structured Light: Ideas and Concepts

et al. 2020

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“…The speckle structure is a characteristic feature of laser light scattered by any diffuse object, and its analysis can be used for diagnostics of scattering object's properties [28,91]. At the dawn of the singular-optics age, it was recognized that the speckle structure actually represents a network of optical singularities [21,22,[92][93][94][95][96][97], and this fact opens new possibilities in optical diagnostics and information processing. Actually, any optical field formed due to transmission of coherent light through a diffuse transparency, or reflected by a rough surface, can be treated as a system of OVs, so that, on the average, each bright spot in the speckle structure is associated with the adjacent screw WF dislocation.…”

Section: Statistical Characteristics Of Random Objects and Speckle Fi...mentioning

confidence: 99%

“…The core of the algorithm consists in locating the saddle points of the intensity distribution and connecting such points into nets by the "gradient lines" (GL)-lines of the steepest descent [120] of intensity. According to [119], the GL are closely associated with the equi-phase lines of the field, and their network provides a partial solution to the inverse problem in optics commonly referred to as the phase problem [97,112].…”

Section: Indirect Reconstruction Of the Singular Skeleton Of Speckle ...mentioning

confidence: 99%

Optical phase singularities: Physical nature, manifestations and applications

Angelsky

Bekshaev²,

Vasnetsov³

et al. 2022

Front. Phys.

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Over the past 30 years, physical optics has been enriched by the appearance of singular optics as a new branch approved in scientific classifiers. This review briefly outlines the main concepts of the singular optics, their role in physical research and applications, and prospects of further development. The wave singularities are considered as a sort of structured-light elements and analyzed based on the generic example of screw wavefront dislocation (optical vortex). Their specific topological and mechanical properties associated with the transverse energy circulation are discussed. Peculiar features of the non-linear optical phenomena with singular fields are exhibited, with the special attention to generation of multidimensional entangled quantum states of photons. Optical fields with multiple singularities, especially, the stochastic speckle fields, are discussed in the context of optical diagnostics of random scattering objects. The exact and approximate correspondences between characteristic parameters of the optical-field intensity and phase distributions are analyzed with the aim of recovering phase information from the intensity measurements (“phase problem” solution). Rational singularity-based approaches to informative measurements of the scattered-field distribution are discussed, as well as their employment for the objects’ diagnostics. In particular, the practical instruments are described for the high-precision rough-surface testing. Possible enhancements of the singular-optics ideas and concepts in a wider context, including the transformation optics, near-field optics (surface waves), partially-coherent fields, and wave fields of other physical nature, are briefly exposed.

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“…homogeneously polarized coherent optical fields, is reduced to (i) the development of reliable and practicable algorithms for location of amplitude zeroes with registration (CCD-camera) of intensity distribution with randomly located zeroes, and (ii) searching for the physically pronounced algorithms for reconstruction of the spatial phase distribution (spatial phase map) of a field. Routinely, the phase problem of this kind is solved efficiently by imposing a coherent reference wave onto the field to be analyzed [25][26][27] . But the use of a reference wave is impracticable or even impossible in many cases, in part for distant diagnostics or in microscopy.…”

Section: Introductionmentioning

confidence: 99%

The phase problem solving by the use of optical correlation algorithm for reconstructing phase skeleton of complex optical fields

Zenkova

Gorsky

Ryabyi

2015

Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies VII

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We propose an optical correlation algorithm for reconstructing the phase skeleton of complex optical fields from the measured two-dimensional intensity distribution. The essence of the algorithm consists in location of the saddle points of the intensity distribution and connecting such points into nets by the lines of intensity gradient that are closely associated with the equi-phase lines of the field. This algorithm provides a new partial solution to the inverse problem in optics commonly referred to as the phase problem.

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Characteristics of scalar random field and its vortex networks. Recovery of the optical phase

Cited by 17 publications

References 14 publications

Structured Light: Ideas and Concepts

Structured Light: Ideas and Concepts

Optical phase singularities: Physical nature, manifestations and applications

The phase problem solving by the use of optical correlation algorithm for reconstructing phase skeleton of complex optical fields

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