Sharp focusing of a light field with polarization and phase singularities of an arbitrary order
Using the Richards-Wolf formalism, we obtain general expressions for all components of the electric and magnetic strength vectors near the sharp focus of an optical vortex with the topological charge m and nth-order azimuthal polarization. From these equations, simple consequences are derived for di...
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Samara National Research University
2019-06-01
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doaj-e82b7e16f3b8415da8de9bb949ccd13a2020-11-25T00:42:28ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792019-06-0143333734610.18287/2412-6179-2019-43-3-337-346Sharp focusing of a light field with polarization and phase singularities of an arbitrary orderVictor Kotlyar0Sergey Stafeev1Alexey Kovalev 2IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001, Samara, Russia; Samara National Research University, Moskovskoye shosse, 34, 443086, Samara, RussiaIPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001, Samara, Russia; Samara National Research University, Moskovskoye shosse, 34, 443086, Samara, RussiaIPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001, Samara, Russia; Samara National Research University, Moskovskoye shosse, 34, 443086, Samara, RussiaUsing the Richards-Wolf formalism, we obtain general expressions for all components of the electric and magnetic strength vectors near the sharp focus of an optical vortex with the topological charge m and nth-order azimuthal polarization. From these equations, simple consequences are derived for different values of m and n. If m=n>1, there is a non-zero intensity on the optical axis, like the one observed when focusing a vortex-free circularly polarized light field. If n=m+2, there is a reverse flux of light energy near the optical axis in the focal plane. The derived expressions can be used both for simulating the sharp focusing of optical fields with the double singularity (phase and polarization) and for a theoretical analysis of focal distributions of the intensity and the Poynting vector, allowing one to reveal the presence of rotational symmetry or the on-axis reverse energy flux, as well as the focal spot shape (a circle or a doughnut).http://computeroptics.smr.ru/KO/PDF/KO43-3/430301.pdfsharp focusingRichards-Wolf formulaeoptical vortextopological chargephase singularitypolarization singularityPoynting vectorreverse flux of energyfocal spot symmetry Citation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Victor Kotlyar Sergey Stafeev Alexey Kovalev |
spellingShingle |
Victor Kotlyar Sergey Stafeev Alexey Kovalev Sharp focusing of a light field with polarization and phase singularities of an arbitrary order Компьютерная оптика sharp focusing Richards-Wolf formulae optical vortex topological charge phase singularity polarization singularity Poynting vector reverse flux of energy focal spot symmetry Citation |
author_facet |
Victor Kotlyar Sergey Stafeev Alexey Kovalev |
author_sort |
Victor Kotlyar |
title |
Sharp focusing of a light field with polarization and phase singularities of an arbitrary order |
title_short |
Sharp focusing of a light field with polarization and phase singularities of an arbitrary order |
title_full |
Sharp focusing of a light field with polarization and phase singularities of an arbitrary order |
title_fullStr |
Sharp focusing of a light field with polarization and phase singularities of an arbitrary order |
title_full_unstemmed |
Sharp focusing of a light field with polarization and phase singularities of an arbitrary order |
title_sort |
sharp focusing of a light field with polarization and phase singularities of an arbitrary order |
publisher |
Samara National Research University |
series |
Компьютерная оптика |
issn |
0134-2452 2412-6179 |
publishDate |
2019-06-01 |
description |
Using the Richards-Wolf formalism, we obtain general expressions for all components of the electric and magnetic strength vectors near the sharp focus of an optical vortex with the topological charge m and nth-order azimuthal polarization. From these equations, simple consequences are derived for different values of m and n. If m=n>1, there is a non-zero intensity on the optical axis, like the one observed when focusing a vortex-free circularly polarized light field. If n=m+2, there is a reverse flux of light energy near the optical axis in the focal plane. The derived expressions can be used both for simulating the sharp focusing of optical fields with the double singularity (phase and polarization) and for a theoretical analysis of focal distributions of the intensity and the Poynting vector, allowing one to reveal the presence of rotational symmetry or the on-axis reverse energy flux, as well as the focal spot shape (a circle or a doughnut). |
topic |
sharp focusing Richards-Wolf formulae optical vortex topological charge phase singularity polarization singularity Poynting vector reverse flux of energy focal spot symmetry Citation |
url |
http://computeroptics.smr.ru/KO/PDF/KO43-3/430301.pdf |
work_keys_str_mv |
AT victorkotlyar sharpfocusingofalightfieldwithpolarizationandphasesingularitiesofanarbitraryorder AT sergeystafeev sharpfocusingofalightfieldwithpolarizationandphasesingularitiesofanarbitraryorder AT alexeykovalev sharpfocusingofalightfieldwithpolarizationandphasesingularitiesofanarbitraryorder |
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