Application Study of a Refractive Biconical Axicon for Azimuthal and Radial Polarization Detection

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Abstract

The paper presents the study results of the effect of a biconical axicon, a refractive optical element with two conical surfaces, on illumination by radiation of various polarization states, including inhomogeneous one (with azimuthal and radial polarization). The biconical axicon was previously proposed for converting a beam with circular polarization into a azimuthal polarized beam due to the beam reflection and refraction at the Brewster angle on one conical surface, followed by the beam collimation due to the second conical surface. The polarization transformations performed during diffraction of beams with various polarizations by a biconical axicon are calculated using the finite difference method in the time domain. Based on the numerical simulations, it is shown that the biconical axicon made of K14 glass (with the refractive index n = 1.4958) can be used as a detector for azimuthal and radially polarized beams based on the intensity pattern in one plane.

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About the authors

Pavel A. Khorin

Samara National Research University; Image Processing Systems Institute Russian Academy of Sciences – branch of the Federal Research Center “Crystallography and Photonics” of the Russian Academy of Sciences

Author for correspondence.
Email: paul.95.de@gmail.com
ORCID iD: 0000-0002-2248-614X

Ph.D. in Physical and Mathematical Sciences, Senior Researcher in the Research Laboratory of Automated Systems for Scientific Research (NIL-35), mathematical modeling, diffractive optics, optical and digital image processing

Russian Federation, Samara; Samara

Sergey A. Degtyarev

Samara National Research University; Image Processing Systems Institute Russian Academy of Sciences – branch of the Federal Research Center “Crystallography and Photonics” of the Russian Academy of Sciences

Email: journal@electronics.ru
ORCID iD: 0000-0002-0874-005X

Ph.D. in Physical and Mathematical Sciences, Associate Professor, wave and singular optics

Russian Federation, Samara; Samara

Svetlana N. Khonina

Samara National Research University; Image Processing Systems Institute Russian Academy of Sciences – branch of the Federal Research Center “Crystallography and Photonics” of the Russian Academy of Sciences

Email: journal@electronics.ru
ORCID iD: 0000-0001-6765-4373

Doctor of Physical and Mathematical Sciences, Professor of Samara National Research University, Main Researcher, diffractive optics, singular optics, mode and polarization transformations, optical manipulation, optical and digital image processing

Russian Federation, Samara; Samara

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Supplementary files

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2. Fig. 1. Projections and 3D shape of a refractive biconical axicon with indication of its dimensions

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3. Fig. 2. Cross section in the plane OX (y = 0) of the intensity E at the output after the biconical axicon when the element is illuminated with the Gaussian beam: a) with radial polarization; b) with azimuthal polarization

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4. Table 1.

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5. Table 2.

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6. Table 3.

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7. Table 4.

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Copyright (c) 2023 Khorin P.A., Degtyarev S.A., Khonina S.N.

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