Minimal Focal Spot Size Measured Based on Intensity and Power Flow

It is shown, theoretically and numerically, that the distributions of the longitudinal energy flow for tightly focused light with circular and linear polarization are the same, and that the spot has circular symmetry. It is also shown that the longitudinal energy flows are equal for optical vortices...

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Main Authors: Victor V. Kotlyar, Sergey S. Stafeev, Vladislav D. Zaitsev
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/21/16/5505
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author Victor V. Kotlyar
Sergey S. Stafeev
Vladislav D. Zaitsev
author_facet Victor V. Kotlyar
Sergey S. Stafeev
Vladislav D. Zaitsev
author_sort Victor V. Kotlyar
collection DOAJ
description It is shown, theoretically and numerically, that the distributions of the longitudinal energy flow for tightly focused light with circular and linear polarization are the same, and that the spot has circular symmetry. It is also shown that the longitudinal energy flows are equal for optical vortices with unit topological charge and with radial or azimuthal polarization. The focal spot has a minimum diameter (all other characteristics being equal), which is measured based on the intensity of an optical vortex with azimuthal polarization. The diameter of the focal spot calculated from the energy flow for light with circular or linear polarization is slightly larger (by a fraction of a percentage). The magnitude of the diameter based on the intensity plays a role in the interaction of light with matter, and the magnitude of the diameter based on the energy flux affects the resolution in optical microscopy which is crucial in sensorial applications.
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spelling doaj.art-bdfcf81b210e4de9a35aa6ca89dff9052023-11-22T09:40:55ZengMDPI AGSensors1424-82202021-08-012116550510.3390/s21165505Minimal Focal Spot Size Measured Based on Intensity and Power FlowVictor V. Kotlyar0Sergey S. Stafeev1Vladislav D. Zaitsev2IPSI RAS—Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001 Samara, RussiaIPSI RAS—Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001 Samara, RussiaIPSI RAS—Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001 Samara, RussiaIt is shown, theoretically and numerically, that the distributions of the longitudinal energy flow for tightly focused light with circular and linear polarization are the same, and that the spot has circular symmetry. It is also shown that the longitudinal energy flows are equal for optical vortices with unit topological charge and with radial or azimuthal polarization. The focal spot has a minimum diameter (all other characteristics being equal), which is measured based on the intensity of an optical vortex with azimuthal polarization. The diameter of the focal spot calculated from the energy flow for light with circular or linear polarization is slightly larger (by a fraction of a percentage). The magnitude of the diameter based on the intensity plays a role in the interaction of light with matter, and the magnitude of the diameter based on the energy flux affects the resolution in optical microscopy which is crucial in sensorial applications.https://www.mdpi.com/1424-8220/21/16/5505tight focusingcylindrical vector beamradial polarizationoptical vortexRichards–Wolf formalismPoynting vector
spellingShingle Victor V. Kotlyar
Sergey S. Stafeev
Vladislav D. Zaitsev
Minimal Focal Spot Size Measured Based on Intensity and Power Flow
Sensors
tight focusing
cylindrical vector beam
radial polarization
optical vortex
Richards–Wolf formalism
Poynting vector
title Minimal Focal Spot Size Measured Based on Intensity and Power Flow
title_full Minimal Focal Spot Size Measured Based on Intensity and Power Flow
title_fullStr Minimal Focal Spot Size Measured Based on Intensity and Power Flow
title_full_unstemmed Minimal Focal Spot Size Measured Based on Intensity and Power Flow
title_short Minimal Focal Spot Size Measured Based on Intensity and Power Flow
title_sort minimal focal spot size measured based on intensity and power flow
topic tight focusing
cylindrical vector beam
radial polarization
optical vortex
Richards–Wolf formalism
Poynting vector
url https://www.mdpi.com/1424-8220/21/16/5505
work_keys_str_mv AT victorvkotlyar minimalfocalspotsizemeasuredbasedonintensityandpowerflow
AT sergeysstafeev minimalfocalspotsizemeasuredbasedonintensityandpowerflow
AT vladislavdzaitsev minimalfocalspotsizemeasuredbasedonintensityandpowerflow