Nonparaxial focusing of wave beams in a graded-index medium

Petrov, Nikolai I.

doi:10.1070/qe1999v029n03abeh001462

Cited by 13 publications

(9 citation statements)

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“…Future research will be related to polarization effects of partially coherent vector vortex beams [80][81][82][83][84]. Of particular interest is the study of the effects of non-paraxiality in the propagation of focused vector beams [85][86][87][88][89][90][91][92][93][94][95][96][97][98], of evanescent waves [99,100] and the effects of coherence and polarization of pulsed beams [101]. Other important topics are the polarization effects in plasmonic structures, including subwavelength gratings [102], multilayer devices and microlens arrays for imaging systems [103][104][105][106][107][108], diffractive optical elements [109][110][111], etc.…”

Section: Discussionmentioning

confidence: 99%

Depolarization of Vector Light Beams on Propagation in Free Space

Petrov¹

2022

Photonics

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Nonparaxial propagation of the vector vortex light beams in free space was investigated theoretically. Propagation-induced polarization changes in vector light beams with different spatial intensity distributions were analyzed. It is shown that the hybrid vector Bessel modes with polarization-OAM (orbital angular momentum) entanglement are the exact solutions of the vector Helmholtz equation. Decomposition of arbitrary vector beams in the initial plane z = 0 into these polarization-invariant beams with phase and polarization singularities was used to analyze the evolution of the polarization of light within the framework of the 2 × 2 coherency matrix formalism. It is shown that the 2D degree of polarization decreases with distance if the incident vector beam is not the modal solution. The close relationship of the degree of polarization with the quantum-mechanical purity parameter is emphasized.

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Section: Discussionmentioning

confidence: 99%

Depolarization of Vector Light Beams on Propagation in Free Space

Petrov¹

2022

Photonics

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“…In [67], the revival effect in GRIN media was considered up to a second-order approximation. In [53,54,[68][69][70], exact analytical expressions for the trajectory and width of nonparaxial wave beams are obtained. It should be noted that the revival effect in a cylindrical GRIN rod, which occurs during nonparaxial propagation, was also recently studied in [71].…”

Section: Vector Laguerre-gauss (Lg) Beams In a Graded-index Fibermentioning

confidence: 99%

Depolarization of Light in Optical Fibers: Effects of Diffraction and Spin-Orbit Interaction

Petrov

2021

Fibers

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Polarization is measured very often to study the interaction of light and matter, so the description of the polarization of light beams is of both practical and fundamental interest. This review discusses the polarization properties of structured light in multimode graded-index optical fibers, with an emphasis on the recent advances in the area of spin-orbit interactions. The basic physical principles and properties of twisted light propagating in a graded index fiber are described: rotation of the polarization plane, Laguerre–Gauss vector beams with polarization-orbital angular momentum entanglement, splitting of degenerate modes due to spin-orbit interaction, depolarization of light beams, Berry phase and 2D and 3D degrees of polarizations, etc. Special attention is paid to analytical methods for solving the Maxwell equations of a three-component field using perturbation analysis and quantum mechanical approaches. Vector and tensor polarization degrees for the description of strongly focused light beams and their geometrical interpretation are also discussed.

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“…In [16] the revival effect in GRIN media up to second order approximation was considered. In [17] the exact analytical expressions for the trajectory and width of nonparaxial wave beams were obtained. Note that the revival effect in cylindrical GRIN media produced by non-paraxial propagation were also recently studied in [18].…”

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confidence: 99%

Laguerre-Gauss Beams with Polarization-OAM Entanglement in a Graded-Index Medium

Petrov

2018

Frontiers in Optics / Laser Science

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It is shown that the vector-vortex Laguerre-Gauss modes with polarization-orbital angular momentum (OAM) entanglement are the vector solutions of the Maxwell equations in a gradedindex medium. Focusing of linearly and circularly polarized vortex light beams with nonzero azimuthal and radial indices in a cylindrical graded-index medium is investigated. The wave shape variation with distance taking into account the spin-orbit and nonparaxial effects is analyzed. Effect of long-term periodical revival of wave packets due to mode interference in a graded-index cylindrical optical waveguide is demonstrated. High efficiency transfer of a strongly focused spot through an optical waveguide over large distances takes place with a period of revival.

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Nonparaxial focusing of wave beams in a graded-index medium

Cited by 13 publications

References 0 publications

Depolarization of Vector Light Beams on Propagation in Free Space

Depolarization of Vector Light Beams on Propagation in Free Space

Depolarization of Light in Optical Fibers: Effects of Diffraction and Spin-Orbit Interaction

Laguerre-Gauss Beams with Polarization-OAM Entanglement in a Graded-Index Medium

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