Effect of Surface Nonlinearity Distribution on Second Harmonic Generation under Tightly Focused Beams
A thorough integral formulation describing the second harmonic generation under tightly focused linearly and radially polarized beams for an arbitrary distribution of the nonlinear susceptibility over the surface of isotropic media was presented. We numerically simulated effects caused by the straig...
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MDPI AG
2023-03-01
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Series: | Photonics |
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Online Access: | https://www.mdpi.com/2304-6732/10/4/350 |
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author | Sergey Scherbak Ilya Reshetov Gennadiy Kan Andrey Lipovskii |
author_facet | Sergey Scherbak Ilya Reshetov Gennadiy Kan Andrey Lipovskii |
author_sort | Sergey Scherbak |
collection | DOAJ |
description | A thorough integral formulation describing the second harmonic generation under tightly focused linearly and radially polarized beams for an arbitrary distribution of the nonlinear susceptibility over the surface of isotropic media was presented. We numerically simulated effects caused by the straight edge of the nonlinear region. In particular, we demonstrated that the second harmonic radiation in the normal direction, which is forbidden in common cases of highly symmetrical nonlinear surfaces, is allowed in the presence of the edge. This is provided by χ<sup>(2)</sup><sub>xzx</sub>-component of the second-order susceptibility. |
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id | doaj.art-8c61a2bba5ca43de95b00174aae20382 |
institution | Directory Open Access Journal |
issn | 2304-6732 |
language | English |
last_indexed | 2024-03-11T04:37:25Z |
publishDate | 2023-03-01 |
publisher | MDPI AG |
record_format | Article |
series | Photonics |
spelling | doaj.art-8c61a2bba5ca43de95b00174aae203822023-11-17T20:56:49ZengMDPI AGPhotonics2304-67322023-03-0110435010.3390/photonics10040350Effect of Surface Nonlinearity Distribution on Second Harmonic Generation under Tightly Focused BeamsSergey Scherbak0Ilya Reshetov1Gennadiy Kan2Andrey Lipovskii3Department of Physics and Technology of Nanoheterostructures, Alferov University, St. Petersburg 194021, RussiaDepartment of Physics and Technology of Nanoheterostructures, Alferov University, St. Petersburg 194021, RussiaDepartment of Physics and Technology of Nanoheterostructures, Alferov University, St. Petersburg 194021, RussiaDepartment of Physics and Technology of Nanoheterostructures, Alferov University, St. Petersburg 194021, RussiaA thorough integral formulation describing the second harmonic generation under tightly focused linearly and radially polarized beams for an arbitrary distribution of the nonlinear susceptibility over the surface of isotropic media was presented. We numerically simulated effects caused by the straight edge of the nonlinear region. In particular, we demonstrated that the second harmonic radiation in the normal direction, which is forbidden in common cases of highly symmetrical nonlinear surfaces, is allowed in the presence of the edge. This is provided by χ<sup>(2)</sup><sub>xzx</sub>-component of the second-order susceptibility.https://www.mdpi.com/2304-6732/10/4/350optical second harmonic generationradial polarizationtight focusingedge effect |
spellingShingle | Sergey Scherbak Ilya Reshetov Gennadiy Kan Andrey Lipovskii Effect of Surface Nonlinearity Distribution on Second Harmonic Generation under Tightly Focused Beams Photonics optical second harmonic generation radial polarization tight focusing edge effect |
title | Effect of Surface Nonlinearity Distribution on Second Harmonic Generation under Tightly Focused Beams |
title_full | Effect of Surface Nonlinearity Distribution on Second Harmonic Generation under Tightly Focused Beams |
title_fullStr | Effect of Surface Nonlinearity Distribution on Second Harmonic Generation under Tightly Focused Beams |
title_full_unstemmed | Effect of Surface Nonlinearity Distribution on Second Harmonic Generation under Tightly Focused Beams |
title_short | Effect of Surface Nonlinearity Distribution on Second Harmonic Generation under Tightly Focused Beams |
title_sort | effect of surface nonlinearity distribution on second harmonic generation under tightly focused beams |
topic | optical second harmonic generation radial polarization tight focusing edge effect |
url | https://www.mdpi.com/2304-6732/10/4/350 |
work_keys_str_mv | AT sergeyscherbak effectofsurfacenonlinearitydistributiononsecondharmonicgenerationundertightlyfocusedbeams AT ilyareshetov effectofsurfacenonlinearitydistributiononsecondharmonicgenerationundertightlyfocusedbeams AT gennadiykan effectofsurfacenonlinearitydistributiononsecondharmonicgenerationundertightlyfocusedbeams AT andreylipovskii effectofsurfacenonlinearitydistributiononsecondharmonicgenerationundertightlyfocusedbeams |