Coherent and Incoherent Nonparaxial Self-Accelerating Weber Beams

We investigate coherent and incoherent nonparaxial Weber beams both theoretically and numerically. We clarify the understanding of coherence properties of Weber beams. We show that the superposition of coherent self-accelerating Weber beams with transverse displacement cannot display the nonparaxial...

Full description

Saved in:
Bibliographic Details
Main Authors: Yiqi Zhang, Junfeng Liu, Feng Wen, Changbiao Li, Zhaoyang Zhang, Yanpeng Zhang, Milivoj R. Belic
Format: Article
Language:English
Published: IEEE 2016-01-01
Series:IEEE Photonics Journal
Subjects:
Online Access:https://ieeexplore.ieee.org/document/7733107/
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850107432362049536
author Yiqi Zhang
Junfeng Liu
Feng Wen
Changbiao Li
Zhaoyang Zhang
Yanpeng Zhang
Milivoj R. Belic
author_facet Yiqi Zhang
Junfeng Liu
Feng Wen
Changbiao Li
Zhaoyang Zhang
Yanpeng Zhang
Milivoj R. Belic
author_sort Yiqi Zhang
collection DOAJ
description We investigate coherent and incoherent nonparaxial Weber beams both theoretically and numerically. We clarify the understanding of coherence properties of Weber beams. We show that the superposition of coherent self-accelerating Weber beams with transverse displacement cannot display the nonparaxial accelerating Talbot effect because their lobes do not accelerate in unison, which is the requirement for the appearance of the effect. The incoherent Weber beams also cannot display the accelerating Talbot effect but can exhibit nonparaxial accelerating properties, although the transverse coherence length is smaller than the beam width, based on the second-order coherence theory. Our research method applies to the nonparaxial Mathieu beams as well, and one obtains similar conclusions as for the Weber beams, although this is not discussed in the paper.
format Article
id doaj-art-299df294ed2f444e84f4af2c5342b2b6
institution OA Journals
issn 1943-0655
language English
publishDate 2016-01-01
publisher IEEE
record_format Article
series IEEE Photonics Journal
spelling doaj-art-299df294ed2f444e84f4af2c5342b2b62025-08-20T02:38:35ZengIEEEIEEE Photonics Journal1943-06552016-01-01861910.1109/JPHOT.2016.26208097733107Coherent and Incoherent Nonparaxial Self-Accelerating Weber BeamsYiqi Zhang0Junfeng Liu1Feng Wen2Changbiao Li3Zhaoyang Zhang4Yanpeng Zhang5Milivoj R. Belic6Key Laboratory for Physical Electronics and Devices of the Ministry of Education and Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an, ChinaKey Laboratory for Physical Electronics and Devices of the Ministry of Education and Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an, ChinaKey Laboratory for Physical Electronics and Devices of the Ministry of Education and Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an, ChinaKey Laboratory for Physical Electronics and Devices of the Ministry of Education and Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an, ChinaKey Laboratory for Physical Electronics and Devices of the Ministry of Education and Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an, ChinaKey Laboratory for Physical Electronics and Devices of the Ministry of Education and Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an, ChinaScience Program, Texas A&M University at Qatar, Doha, QatarWe investigate coherent and incoherent nonparaxial Weber beams both theoretically and numerically. We clarify the understanding of coherence properties of Weber beams. We show that the superposition of coherent self-accelerating Weber beams with transverse displacement cannot display the nonparaxial accelerating Talbot effect because their lobes do not accelerate in unison, which is the requirement for the appearance of the effect. The incoherent Weber beams also cannot display the accelerating Talbot effect but can exhibit nonparaxial accelerating properties, although the transverse coherence length is smaller than the beam width, based on the second-order coherence theory. Our research method applies to the nonparaxial Mathieu beams as well, and one obtains similar conclusions as for the Weber beams, although this is not discussed in the paper.https://ieeexplore.ieee.org/document/7733107/Weber beamsTalbot effectincoherent beams
spellingShingle Yiqi Zhang
Junfeng Liu
Feng Wen
Changbiao Li
Zhaoyang Zhang
Yanpeng Zhang
Milivoj R. Belic
Coherent and Incoherent Nonparaxial Self-Accelerating Weber Beams
IEEE Photonics Journal
Weber beams
Talbot effect
incoherent beams
title Coherent and Incoherent Nonparaxial Self-Accelerating Weber Beams
title_full Coherent and Incoherent Nonparaxial Self-Accelerating Weber Beams
title_fullStr Coherent and Incoherent Nonparaxial Self-Accelerating Weber Beams
title_full_unstemmed Coherent and Incoherent Nonparaxial Self-Accelerating Weber Beams
title_short Coherent and Incoherent Nonparaxial Self-Accelerating Weber Beams
title_sort coherent and incoherent nonparaxial self accelerating weber beams
topic Weber beams
Talbot effect
incoherent beams
url https://ieeexplore.ieee.org/document/7733107/
work_keys_str_mv AT yiqizhang coherentandincoherentnonparaxialselfacceleratingweberbeams
AT junfengliu coherentandincoherentnonparaxialselfacceleratingweberbeams
AT fengwen coherentandincoherentnonparaxialselfacceleratingweberbeams
AT changbiaoli coherentandincoherentnonparaxialselfacceleratingweberbeams
AT zhaoyangzhang coherentandincoherentnonparaxialselfacceleratingweberbeams
AT yanpengzhang coherentandincoherentnonparaxialselfacceleratingweberbeams
AT milivojrbelic coherentandincoherentnonparaxialselfacceleratingweberbeams