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366961

Studies on Phase Correlation of Scattered Waves from A Rough Surface

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Last updated: 03 Jan 2025

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Abstract

An analytical formula is derived for the dependence of the statistical properties of speckle pattern on the roughness phase correlation coefficient and roughness variance. Gaussian phase probability density distributions of zero and non-zero phase mean value are assumed for the surface roughness. Radiation of high temporal and spatial coherence is used for illuminating the surfaces of different roughness. The optical roughness of the object is controlled by changing the refractive index of the medium in front of it at constant temperature. The theoretical results indicate a similarity of the derived statistical properties of the speckle pattern for both considered cases of the Gaussian phase probability density distributions. An experiment is carried out to validate the obtained theoretical formula. The experimental measurements show good agreement with the theoretical derived formula. The theoretical development and the experimental work allowed the roughness phase correlation coefficient to be determined.

DOI

10.21608/ejphysics.2024.294938.1101

Keywords

speckle pattern, statistical parameters of speckle pattern, phase correlation coefficient, Gaussian phase probability density distribution

Authors

First Name

Mohamed

Last Name

Esmail

MiddleName

Farag

Affiliation

Department of Physics, Faculty of Science, Helwan University, Cairo, Egypt.

Email

mfarag123456esmail@gmail.com

City

-

Orcid

-

First Name

Mohamed

Last Name

Elnicklawy

MiddleName

Mohamed

Affiliation

Department of Physics, Faculty of Science, Helwan University, Cairo, Egypt

Email

mmelnicklawy@yahoo.com

City

-

Orcid

-

First Name

Amin

Last Name

Hassan

MiddleName

Fahim

Affiliation

Department of Physics, Faculty of Science, Helwan University, Cairo, Egypt

Email

aminhassan40@yahoo.com

City

-

Orcid

-

First Name

Afaf

Last Name

Abd-Rabou

MiddleName

Mahmoud

Affiliation

Department of Physics, Faculty of Science, Helwan University, Cairo, Egypt

Email

afaf_mahmoud@science.helwan.edu.eg

City

Cairo

Orcid

0000-0003-1606-2743

First Name

Nevien

Last Name

Abdullah

MiddleName

Adel

Affiliation

Department of Physics, Faculty of Science, Helwan University, Cairo, Egypt

Email

nevien.adel86@gmail.com

City

-

Orcid

-

First Name

Adel

Last Name

Elmahdy

MiddleName

Ebrahim

Affiliation

Department of Physics, Faculty of Science, Helwan University, Cairo, Egypt

Email

adel_elmahdy@science.helwan.edu.eg

City

-

Orcid

0009-0007-1017-7757

Volume

52

Article Issue

1

Related Issue

45473

Issue Date

2024-01-01

Receive Date

2024-06-05

Publish Date

2024-01-01

Page Start

51

Page End

63

Print ISSN

1110-0214

Online ISSN

2537-0960

Article File

EJPHYSICS_Volume 52_Issue 1_Pages 51-63.pdf

PDF . 1.7MB

Link

https://ejphysics.journals.ekb.eg/article_366961.html

Detail API

https://ejphysics.journals.ekb.eg/service?article_code=366961

Order

366,961

Type

Original Article

Type Code

441

Publication Type

Journal

Publication Title

Egyptian Journal of Physics

Publication Link

https://ejphysics.journals.ekb.eg/

MainTitle

Studies on Phase Correlation of Scattered Waves from A Rough Surface

Details

Type

Article

Created At

23 Dec 2024