Knots and links of polarization singularity lines of light under tight focusing with a parabolic mirror

Kuznetsov, N. Yu.; Ryadchenko, A. E.; Grigoriev, K. S.; Makarov, V. A.

doi:10.1103/physreva.107.063506

Cited by 5 publications

(1 citation statement)

References 34 publications

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“…It is due to the existence of integral characteristics of polarization singularity lines that take only discrete values. These lines can have selfintersection points in fields with a high degree of symmetry [4] or in the presence of at least one variable parameter of radiation and medium on which the topology of polarization singularity lines depends [5,6].…”

Section: Introductionmentioning

confidence: 99%

Fine structure of polarization and optical Möbius strips topology of laser light in planar metamaterial

Kuznetsov,

Potravkin,

Makarov

2024

Laser Phys. Lett.

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It is shown that upon propagation of a plane linearly polarized harmonic wave normally incident on a planar nonlinear metamaterial whose basic cell consists of two rectangular silver plates with characteristic dimensions of hundreds of nanometers, there exists in the local field a circular polarization singularity line (C-line) containing two regions where their segments come to each other to such small distance that it may appear as a self-intersection in the numerical experiment. We found that optical ribbons constructed around the ordinary points of these lines have the topology of Möbius ribbons, and the ribbons constructed in the possible self-intersection region of C-lines and spanning its two segments are orientable surfaces.

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Section: Introductionmentioning

confidence: 99%

Fine structure of polarization and optical Möbius strips topology of laser light in planar metamaterial

Kuznetsov,

Potravkin,

Makarov

2024

Laser Phys. Lett.

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Metasurface‐Enabled Cascaded Multispectral Polarization Structures Along the Longitudinal Direction

Li,

Yu,

Zhao

et al. 2024

Advanced Optical Materials

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Generation and manipulation of polarization structures have attracted significant interest due to their unusual optical features and extensive applications. Multispectral information can further increase the information capacity of polarization structures. However, generating multiple cascaded multispectral polarization numbers (letters) at multiple planes arranged along light propagation has not been reported. A geometric metasurface is used to experimentally realize eight cascaded multispectral polarization numbers (letters) at predesigned observation planes along the longitudinal direction. The efficacy of this approach is demonstrated by encoding a single polarization number (letter) with two wavelengths and cascading two polarization numbers with orthogonal polarization rotation angles. Different two‐color polarization numbers (letters) are generated by controlling the incident wavelength, while their polarization distributions are modulated by controlling the incident linear polarization. This approach integrates two‐dimentional (2D) polarization generation, multiple colors, longitudinal control, and cascading design, providing extra degrees of freedom for customized polarization design and enabling small‐volume polarization systems for color display, image steganography, and optical encryption.

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Optical Möbius strips in isotropic random non-paraxial light

Grigoriev,

Makarov

2024

Laser Phys. Lett.

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The statistics of Möbius strips with various topologies, formed by the axes of polarization ellipses as they are traced along a closed circular contour of small size passing through the center of a solitary circular polarization singularity line (C-line), have been investigated both analytically and numerically in a random isotropic electromagnetic field. Found are the analytical expressions for the joint probability density function of the differential characteristics of the random isotropic electromagnetic field, which allow for the determination of the topological properties of diagrams of polarization ellipses and the normal vectors to them, as well as the optical strips that arise in the space around C-lines.

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Knots and links of polarization singularity lines of light under tight focusing with a parabolic mirror

Cited by 5 publications

References 34 publications

Fine structure of polarization and optical Möbius strips topology of laser light in planar metamaterial

Fine structure of polarization and optical Möbius strips topology of laser light in planar metamaterial

Metasurface‐Enabled Cascaded Multispectral Polarization Structures Along the Longitudinal Direction

Optical Möbius strips in isotropic random non-paraxial light

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