Self-Healing Properties of Partially Coherent Schell-Model Beams

Convolution expression for partially coherent beams that are partially blocked by an opaque obstacle is derived in detail in a paraxial $ABCD$ optical system. The examples are showed to how the formula can be applied to study the self-healing for different beams and different obstructions. In partic...

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Main Authors: Gaofeng Wu, Xiaoyan Pang
Format: Article
Language:English
Published: IEEE 2017-01-01
Series:IEEE Photonics Journal
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8107489/
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author Gaofeng Wu
Xiaoyan Pang
author_facet Gaofeng Wu
Xiaoyan Pang
author_sort Gaofeng Wu
collection DOAJ
description Convolution expression for partially coherent beams that are partially blocked by an opaque obstacle is derived in detail in a paraxial $ABCD$ optical system. The examples are showed to how the formula can be applied to study the self-healing for different beams and different obstructions. In particular, this approach can be used to conveniently deal with any partially coherent Schell-model beams partially blocked by any shape obstacle. Furthermore, the self-healing ability characterization based on the similarity degree of intensity to intensity is proposed. Our method not only can be used to estimate the self-healing ability of beams in theory, but also can be applied to characterize the self-healing ability of beams in experiment. It offers a good and convenient method for investigating or comparing the self-healing ability of different beams, including fully coherent beams and partially coherent beams.
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spelling doaj.art-ffe362ae21f444129d43413176351ee72022-12-21T19:55:03ZengIEEEIEEE Photonics Journal1943-06552017-01-019611110.1109/JPHOT.2017.27723508107489Self-Healing Properties of Partially Coherent Schell-Model BeamsGaofeng Wu0https://orcid.org/0000-0002-2851-2038Xiaoyan Pang1School of Physics, Northwest University, Xi’an, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi’an, ChinaConvolution expression for partially coherent beams that are partially blocked by an opaque obstacle is derived in detail in a paraxial $ABCD$ optical system. The examples are showed to how the formula can be applied to study the self-healing for different beams and different obstructions. In particular, this approach can be used to conveniently deal with any partially coherent Schell-model beams partially blocked by any shape obstacle. Furthermore, the self-healing ability characterization based on the similarity degree of intensity to intensity is proposed. Our method not only can be used to estimate the self-healing ability of beams in theory, but also can be applied to characterize the self-healing ability of beams in experiment. It offers a good and convenient method for investigating or comparing the self-healing ability of different beams, including fully coherent beams and partially coherent beams.https://ieeexplore.ieee.org/document/8107489/Coherence and statistical opticscoherence optical effectdiffractionpropagation
spellingShingle Gaofeng Wu
Xiaoyan Pang
Self-Healing Properties of Partially Coherent Schell-Model Beams
IEEE Photonics Journal
Coherence and statistical optics
coherence optical effect
diffraction
propagation
title Self-Healing Properties of Partially Coherent Schell-Model Beams
title_full Self-Healing Properties of Partially Coherent Schell-Model Beams
title_fullStr Self-Healing Properties of Partially Coherent Schell-Model Beams
title_full_unstemmed Self-Healing Properties of Partially Coherent Schell-Model Beams
title_short Self-Healing Properties of Partially Coherent Schell-Model Beams
title_sort self healing properties of partially coherent schell model beams
topic Coherence and statistical optics
coherence optical effect
diffraction
propagation
url https://ieeexplore.ieee.org/document/8107489/
work_keys_str_mv AT gaofengwu selfhealingpropertiesofpartiallycoherentschellmodelbeams
AT xiaoyanpang selfhealingpropertiesofpartiallycoherentschellmodelbeams