Super-Diffraction Longitudinally Polarized Optical Needle With Ultra-Long Focal Depth Generated by a Radially Polarized High-Dimensional Circular Hollow Sinh-Gaussian Beam

In this paper, the incident beam called high-dimensional circular hollow sinh-Gaussian (HD-CHsG) beam with a novel wavefront is proposed, which is determined by three parameters (<italic>m</italic>, <italic>&#x03C3;</italic><sub>0</sub>, <italic>&#x0...

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Main Authors: Si-Mo Wang, Wei Yan, Fan-Xing Li, Fu-Ping Peng, Jia-Lin Du
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Photonics Journal
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9655455/
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author Si-Mo Wang
Wei Yan
Fan-Xing Li
Fu-Ping Peng
Jia-Lin Du
author_facet Si-Mo Wang
Wei Yan
Fan-Xing Li
Fu-Ping Peng
Jia-Lin Du
author_sort Si-Mo Wang
collection DOAJ
description In this paper, the incident beam called high-dimensional circular hollow sinh-Gaussian (HD-CHsG) beam with a novel wavefront is proposed, which is determined by three parameters (<italic>m</italic>, <italic>&#x03C3;</italic><sub>0</sub>, <italic>&#x03C3;</italic><sub>1</sub>). Based on the Richards-wolf vector diffraction theory, it can be focused into a longitudinal polarized optical needle through a high numerical aperture lens. The effects of the three parameters (<italic>m</italic>, <italic>&#x03C3;</italic><sub>0</sub>, <italic>&#x03C3;</italic><sub>1</sub>) on the resolution and depth of focus of the longitudinally polarized optical needle are simulated and analyzed. In the condition of (<italic>m</italic>, <italic>&#x03C3;</italic><sub>0</sub>, <italic>&#x03C3;</italic><sub>1</sub>) &#x003D; (8, 0.6, 0.125), a super-diffraction longitudinal optical needle with ultra-long focal depth (resolution 0.40<italic>&#x03BB;</italic>, focal depth 18.36<italic>&#x03BB;</italic>, depth-to-width ratio 45.9:1) is generated. In addition, compared with a radially polarized incident beam whose amplitude distribution is Gaussian and circular hollow sinh-Gaussian (CHsG) distribution, the resolution and depth of focus of the longitudinally polarized optical needle obtained by focusing the HD-CHsG beam are higher. Both simulations and experiments are carried out to demonstrate the availability of our method. Our findings are of great significance to the production, manipulation, and application of longitudinally polarized optical needle.
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spelling doaj.art-091dfb2e802a487fa6990c3a54080d042022-12-21T23:29:54ZengIEEEIEEE Photonics Journal1943-06552022-01-011411910.1109/JPHOT.2021.31362119655455Super-Diffraction Longitudinally Polarized Optical Needle With Ultra-Long Focal Depth Generated by a Radially Polarized High-Dimensional Circular Hollow Sinh-Gaussian BeamSi-Mo Wang0https://orcid.org/0000-0003-4082-4250Wei Yan1https://orcid.org/0000-0002-5796-0569Fan-Xing Li2https://orcid.org/0000-0001-8374-8740Fu-Ping Peng3https://orcid.org/0000-0002-9493-8563Jia-Lin Du4https://orcid.org/0000-0003-0787-2234Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan, ChinaInstitute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan, ChinaInstitute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan, ChinaInstitute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan, ChinaInstitute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan, ChinaIn this paper, the incident beam called high-dimensional circular hollow sinh-Gaussian (HD-CHsG) beam with a novel wavefront is proposed, which is determined by three parameters (<italic>m</italic>, <italic>&#x03C3;</italic><sub>0</sub>, <italic>&#x03C3;</italic><sub>1</sub>). Based on the Richards-wolf vector diffraction theory, it can be focused into a longitudinal polarized optical needle through a high numerical aperture lens. The effects of the three parameters (<italic>m</italic>, <italic>&#x03C3;</italic><sub>0</sub>, <italic>&#x03C3;</italic><sub>1</sub>) on the resolution and depth of focus of the longitudinally polarized optical needle are simulated and analyzed. In the condition of (<italic>m</italic>, <italic>&#x03C3;</italic><sub>0</sub>, <italic>&#x03C3;</italic><sub>1</sub>) &#x003D; (8, 0.6, 0.125), a super-diffraction longitudinal optical needle with ultra-long focal depth (resolution 0.40<italic>&#x03BB;</italic>, focal depth 18.36<italic>&#x03BB;</italic>, depth-to-width ratio 45.9:1) is generated. In addition, compared with a radially polarized incident beam whose amplitude distribution is Gaussian and circular hollow sinh-Gaussian (CHsG) distribution, the resolution and depth of focus of the longitudinally polarized optical needle obtained by focusing the HD-CHsG beam are higher. Both simulations and experiments are carried out to demonstrate the availability of our method. Our findings are of great significance to the production, manipulation, and application of longitudinally polarized optical needle.https://ieeexplore.ieee.org/document/9655455/Optical needlesuper-diffractionultra-long focal depthvector diffraction theoryhigh-dimensional circular hollow sinh-gaussian beam
spellingShingle Si-Mo Wang
Wei Yan
Fan-Xing Li
Fu-Ping Peng
Jia-Lin Du
Super-Diffraction Longitudinally Polarized Optical Needle With Ultra-Long Focal Depth Generated by a Radially Polarized High-Dimensional Circular Hollow Sinh-Gaussian Beam
IEEE Photonics Journal
Optical needle
super-diffraction
ultra-long focal depth
vector diffraction theory
high-dimensional circular hollow sinh-gaussian beam
title Super-Diffraction Longitudinally Polarized Optical Needle With Ultra-Long Focal Depth Generated by a Radially Polarized High-Dimensional Circular Hollow Sinh-Gaussian Beam
title_full Super-Diffraction Longitudinally Polarized Optical Needle With Ultra-Long Focal Depth Generated by a Radially Polarized High-Dimensional Circular Hollow Sinh-Gaussian Beam
title_fullStr Super-Diffraction Longitudinally Polarized Optical Needle With Ultra-Long Focal Depth Generated by a Radially Polarized High-Dimensional Circular Hollow Sinh-Gaussian Beam
title_full_unstemmed Super-Diffraction Longitudinally Polarized Optical Needle With Ultra-Long Focal Depth Generated by a Radially Polarized High-Dimensional Circular Hollow Sinh-Gaussian Beam
title_short Super-Diffraction Longitudinally Polarized Optical Needle With Ultra-Long Focal Depth Generated by a Radially Polarized High-Dimensional Circular Hollow Sinh-Gaussian Beam
title_sort super diffraction longitudinally polarized optical needle with ultra long focal depth generated by a radially polarized high dimensional circular hollow sinh gaussian beam
topic Optical needle
super-diffraction
ultra-long focal depth
vector diffraction theory
high-dimensional circular hollow sinh-gaussian beam
url https://ieeexplore.ieee.org/document/9655455/
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