Nonparaxial Propagation Properties of Specially Correlated Radially Polarized Beams in Free Space
A specially correlated radially polarized (SCRP) beam with unusual physical properties on propagation in the paraxial regime was introduced and generated recently. In this paper, we extend the paraxial propagation of an SCRP beam to the nonparaxial regime. The closed-form 3 × 3 cross-spect...
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doaj-cd79de3615de4323bf8ea51a08707fc52020-11-25T00:13:54ZengMDPI AGApplied Sciences2076-34172019-03-019599710.3390/app9050997app9050997Nonparaxial Propagation Properties of Specially Correlated Radially Polarized Beams in Free SpaceLina Guo0Li Chen1Rong Lin2Minghui Zhang3Yiming Dong4Yahong Chen5Yangjian Cai6School of Optoelectronic Engineering, Guangdong Polytechnic Normal University, Guangzhou 510665, ChinaSchool of Optoelectronic Engineering, Guangdong Polytechnic Normal University, Guangzhou 510665, ChinaShandong Provincial Engineering and Technical Center of Light Manipulations & Shandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University, Jinan 250014, ChinaSchool of Physics and Material Science, Anhui University, Hefei 230039, ChinaSchool of Physical Science and Technology, Soochow University, Suzhou 215006, ChinaSchool of Physical Science and Technology, Soochow University, Suzhou 215006, ChinaShandong Provincial Engineering and Technical Center of Light Manipulations & Shandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University, Jinan 250014, ChinaA specially correlated radially polarized (SCRP) beam with unusual physical properties on propagation in the paraxial regime was introduced and generated recently. In this paper, we extend the paraxial propagation of an SCRP beam to the nonparaxial regime. The closed-form 3 × 3 cross-spectral density matrix of a nonparaxial SCRP beam propagating in free space is derived with the aid of the generalized Rayleigh–Sommerfeld diffraction integral. The statistical properties, such as average intensity, degree of polarization, and spectral degree of coherence, are studied comparatively for the nonparaxial SCRP beam and the partially coherent radially polarized (PCRP) beam with a conventional Gaussian–Schell-model correlation function. It is found that the nonparaxial properties of an SCRP beam are strikingly different from those of a PCRP beam. These nonparaxial properties are closely related to the correlation functions and the beam waist width. Our results may find potential applications in beam shaping and optical trapping in nonparaxial systems.http://www.mdpi.com/2076-3417/9/5/997nonparaxial propagationpartially coherent beampolarization and coherence |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Lina Guo Li Chen Rong Lin Minghui Zhang Yiming Dong Yahong Chen Yangjian Cai |
spellingShingle |
Lina Guo Li Chen Rong Lin Minghui Zhang Yiming Dong Yahong Chen Yangjian Cai Nonparaxial Propagation Properties of Specially Correlated Radially Polarized Beams in Free Space Applied Sciences nonparaxial propagation partially coherent beam polarization and coherence |
author_facet |
Lina Guo Li Chen Rong Lin Minghui Zhang Yiming Dong Yahong Chen Yangjian Cai |
author_sort |
Lina Guo |
title |
Nonparaxial Propagation Properties of Specially Correlated Radially Polarized Beams in Free Space |
title_short |
Nonparaxial Propagation Properties of Specially Correlated Radially Polarized Beams in Free Space |
title_full |
Nonparaxial Propagation Properties of Specially Correlated Radially Polarized Beams in Free Space |
title_fullStr |
Nonparaxial Propagation Properties of Specially Correlated Radially Polarized Beams in Free Space |
title_full_unstemmed |
Nonparaxial Propagation Properties of Specially Correlated Radially Polarized Beams in Free Space |
title_sort |
nonparaxial propagation properties of specially correlated radially polarized beams in free space |
publisher |
MDPI AG |
series |
Applied Sciences |
issn |
2076-3417 |
publishDate |
2019-03-01 |
description |
A specially correlated radially polarized (SCRP) beam with unusual physical properties on propagation in the paraxial regime was introduced and generated recently. In this paper, we extend the paraxial propagation of an SCRP beam to the nonparaxial regime. The closed-form 3 × 3 cross-spectral density matrix of a nonparaxial SCRP beam propagating in free space is derived with the aid of the generalized Rayleigh–Sommerfeld diffraction integral. The statistical properties, such as average intensity, degree of polarization, and spectral degree of coherence, are studied comparatively for the nonparaxial SCRP beam and the partially coherent radially polarized (PCRP) beam with a conventional Gaussian–Schell-model correlation function. It is found that the nonparaxial properties of an SCRP beam are strikingly different from those of a PCRP beam. These nonparaxial properties are closely related to the correlation functions and the beam waist width. Our results may find potential applications in beam shaping and optical trapping in nonparaxial systems. |
topic |
nonparaxial propagation partially coherent beam polarization and coherence |
url |
http://www.mdpi.com/2076-3417/9/5/997 |
work_keys_str_mv |
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