Focusing Hemispherical Waves

The field in the focal plane of a hemispherically focused wave in an aplanatic optical system can be expressed in an analytical form. In fact, many different cases of hemispherically focused scalar and vectorial waves can be analytically expressed. We consider focusing with linear or circular polari...

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Main Author: Colin J. R. Sheppard
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Photonics
Subjects:
Online Access:https://www.mdpi.com/2304-6732/12/1/63
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author Colin J. R. Sheppard
author_facet Colin J. R. Sheppard
author_sort Colin J. R. Sheppard
collection DOAJ
description The field in the focal plane of a hemispherically focused wave in an aplanatic optical system can be expressed in an analytical form. In fact, many different cases of hemispherically focused scalar and vectorial waves can be analytically expressed. We consider focusing with linear or circular polarized illumination as well as other cases such as electric dipole, transverse electric, and radial polarizations. We also investigate 4Pi focusing and the focusing of vortex waves. These results can be applied to focusing with microscope objectives of high numerical aperture.
format Article
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institution Kabale University
issn 2304-6732
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spelling doaj-art-4c98c25569904fc68befa4eb374c06fe2025-01-24T13:46:23ZengMDPI AGPhotonics2304-67322025-01-011216310.3390/photonics12010063Focusing Hemispherical WavesColin J. R. Sheppard0School of Optometry and Vision Science, UNSW Medicine, Sydney, NSW 2052, AustraliaThe field in the focal plane of a hemispherically focused wave in an aplanatic optical system can be expressed in an analytical form. In fact, many different cases of hemispherically focused scalar and vectorial waves can be analytically expressed. We consider focusing with linear or circular polarized illumination as well as other cases such as electric dipole, transverse electric, and radial polarizations. We also investigate 4Pi focusing and the focusing of vortex waves. These results can be applied to focusing with microscope objectives of high numerical aperture.https://www.mdpi.com/2304-6732/12/1/63diffraction theorypolarizationlaser beam shapingtrappingmaterial processingoptical recording
spellingShingle Colin J. R. Sheppard
Focusing Hemispherical Waves
Photonics
diffraction theory
polarization
laser beam shaping
trapping
material processing
optical recording
title Focusing Hemispherical Waves
title_full Focusing Hemispherical Waves
title_fullStr Focusing Hemispherical Waves
title_full_unstemmed Focusing Hemispherical Waves
title_short Focusing Hemispherical Waves
title_sort focusing hemispherical waves
topic diffraction theory
polarization
laser beam shaping
trapping
material processing
optical recording
url https://www.mdpi.com/2304-6732/12/1/63
work_keys_str_mv AT colinjrsheppard focusinghemisphericalwaves