Beta
198710

Wavelet Processing in Optical Diffraction Grating.

Article

Last updated: 22 Jan 2023

Subjects

-

Tags

Electronics and Communications Engineering

Abstract

Accurate modeling of photonic devices is essential for the development of new higher performance optical components required by current and future wide bandwidth communication systems. The goal of this paper is to formulate a Wavelet-Galerkin method to solve a paraxial wave equation numerically. The numerical simulation is applied to a teal optical diffraction grating fabricated by a double-ion exchange technique.
The Wavelet solutions have much better precision but are slightly slower than the finite difference solutions owing to the need to transform the samples from physical space into Wavelet space and back again. Although the Wavelet solutions require slightly more computational effort than the finite difference solution, the gains in accuracy, particularly with the higher order wavelets, far outweigh the increase in cost. Furthermore, Wavelets have the capability of representing solutions at different levels of resolution, which makes them particularly useful for developing hierarchical solutions to engineer problems.

DOI

10.21608/bfemu.2021.198710

Keywords

Wavelet-Galerkin Method (WGM), Finite-Difference Beam Propagation Method (FD-BPM), Diffraction Grating, partial Differential Equation (PDE), Methods of Weighted Residuals (MWR)

Authors

First Name

A.

Last Name

Samra

MiddleName

S.

Affiliation

Associate Professor., Department of Electronics and Communications., Faculty of Engineering., Mansoura University., Egypt.

Email

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City

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Orcid

-

First Name

B.

Last Name

Yousif

MiddleName

B.

Affiliation

Electronics and Communications Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

Email

-

City

Mansoura

Orcid

-

Volume

31

Article Issue

4

Related Issue

19225

Issue Date

2006-12-01

Receive Date

2006-10-09

Publish Date

2021-10-09

Page Start

36

Page End

45

Print ISSN

1110-0923

Online ISSN

2735-4202

Link

https://bfemu.journals.ekb.eg/article_198710.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=198710

Order

8

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

https://bfemu.journals.ekb.eg/

MainTitle

-

Details

Type

Article

Created At

22 Jan 2023