Hermite - Gaussian Decompositon of Electromagnetic Fields at a Constant Range in Half Space Wave Propagation

Alican Uysal; Funda Akleman

doi:10.1109/WMCS52222.2021.9493278

Hermite - Gaussian Decompositon of Electromagnetic Fields at a Constant Range in Half Space Wave Propagation

Alican Uysal, Funda Akleman

Department of Electronics and Communication Engineering

Istanbul Technical University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, a half-space wave propagation problem in the vicinity of discontinuities is considered and the cross-sectional Hermite - Gaussian expansion of three dimensional electromagnetic fields at a constant range is investigated. The electromagnetic fields are calculated via a Finite-Difference Time-Domain algorithm and then Fourier transformed. Series expansion coefficients are obtained through an inner product operation with each orthonormal basis function. It is shown that fields can be successfully reconstructed with a limited number of coefficients.

Original language	English
Title of host publication	Proceedings of the 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems
Subtitle of host publication	Making Waves in Texas, WMCS 2021
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781665403092
DOIs	https://doi.org/10.1109/WMCS52222.2021.9493278
Publication status	Published - 18 May 2021
Event	2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems, WMCS 2021 - Virtual, Online Duration: 18 May 2021 → 20 May 2021

Publication series

Name	Proceedings of the 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems: Making Waves in Texas, WMCS 2021

Conference

Conference	2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems, WMCS 2021
City	Virtual, Online
Period	18/05/21 → 20/05/21

Bibliographical note

Publisher Copyright:
© 2021 IEEE.

Keywords

electromagnetic fields
electromagnetic wave propagation
Finite Difference Time Domain
Hermite - Gaussian basis
series expansion

Access to Document

10.1109/WMCS52222.2021.9493278

Cite this

Uysal, A., & Akleman, F. (2021). Hermite - Gaussian Decompositon of Electromagnetic Fields at a Constant Range in Half Space Wave Propagation. In Proceedings of the 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems: Making Waves in Texas, WMCS 2021 Article 9493278 (Proceedings of the 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems: Making Waves in Texas, WMCS 2021). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/WMCS52222.2021.9493278

Uysal, Alican ; Akleman, Funda. / Hermite - Gaussian Decompositon of Electromagnetic Fields at a Constant Range in Half Space Wave Propagation. Proceedings of the 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems: Making Waves in Texas, WMCS 2021. Institute of Electrical and Electronics Engineers Inc., 2021. (Proceedings of the 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems: Making Waves in Texas, WMCS 2021).

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title = "Hermite - Gaussian Decompositon of Electromagnetic Fields at a Constant Range in Half Space Wave Propagation",

abstract = "In this paper, a half-space wave propagation problem in the vicinity of discontinuities is considered and the cross-sectional Hermite - Gaussian expansion of three dimensional electromagnetic fields at a constant range is investigated. The electromagnetic fields are calculated via a Finite-Difference Time-Domain algorithm and then Fourier transformed. Series expansion coefficients are obtained through an inner product operation with each orthonormal basis function. It is shown that fields can be successfully reconstructed with a limited number of coefficients.",

keywords = "electromagnetic fields, electromagnetic wave propagation, Finite Difference Time Domain, Hermite - Gaussian basis, series expansion",

author = "Alican Uysal and Funda Akleman",

note = "Publisher Copyright: {\textcopyright} 2021 IEEE.; 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems, WMCS 2021 ; Conference date: 18-05-2021 Through 20-05-2021",

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Uysal, A & Akleman, F 2021, Hermite - Gaussian Decompositon of Electromagnetic Fields at a Constant Range in Half Space Wave Propagation. in Proceedings of the 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems: Making Waves in Texas, WMCS 2021., 9493278, Proceedings of the 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems: Making Waves in Texas, WMCS 2021, Institute of Electrical and Electronics Engineers Inc., 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems, WMCS 2021, Virtual, Online, 18/05/21. https://doi.org/10.1109/WMCS52222.2021.9493278

Hermite - Gaussian Decompositon of Electromagnetic Fields at a Constant Range in Half Space Wave Propagation. / Uysal, Alican; Akleman, Funda.
Proceedings of the 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems: Making Waves in Texas, WMCS 2021. Institute of Electrical and Electronics Engineers Inc., 2021. 9493278 (Proceedings of the 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems: Making Waves in Texas, WMCS 2021).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Hermite - Gaussian Decompositon of Electromagnetic Fields at a Constant Range in Half Space Wave Propagation

AU - Uysal, Alican

AU - Akleman, Funda

PY - 2021/5/18

Y1 - 2021/5/18

N2 - In this paper, a half-space wave propagation problem in the vicinity of discontinuities is considered and the cross-sectional Hermite - Gaussian expansion of three dimensional electromagnetic fields at a constant range is investigated. The electromagnetic fields are calculated via a Finite-Difference Time-Domain algorithm and then Fourier transformed. Series expansion coefficients are obtained through an inner product operation with each orthonormal basis function. It is shown that fields can be successfully reconstructed with a limited number of coefficients.

AB - In this paper, a half-space wave propagation problem in the vicinity of discontinuities is considered and the cross-sectional Hermite - Gaussian expansion of three dimensional electromagnetic fields at a constant range is investigated. The electromagnetic fields are calculated via a Finite-Difference Time-Domain algorithm and then Fourier transformed. Series expansion coefficients are obtained through an inner product operation with each orthonormal basis function. It is shown that fields can be successfully reconstructed with a limited number of coefficients.

KW - electromagnetic fields

KW - electromagnetic wave propagation

KW - Finite Difference Time Domain

KW - Hermite - Gaussian basis

KW - series expansion

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U2 - 10.1109/WMCS52222.2021.9493278

DO - 10.1109/WMCS52222.2021.9493278

M3 - Conference contribution

AN - SCOPUS:85112114268

T3 - Proceedings of the 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems: Making Waves in Texas, WMCS 2021

BT - Proceedings of the 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems, WMCS 2021

Y2 - 18 May 2021 through 20 May 2021

ER -

Uysal A, Akleman F. Hermite - Gaussian Decompositon of Electromagnetic Fields at a Constant Range in Half Space Wave Propagation. In Proceedings of the 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems: Making Waves in Texas, WMCS 2021. Institute of Electrical and Electronics Engineers Inc. 2021. 9493278. (Proceedings of the 2021 IEEE Texas Symposium on Wireless and Microwave Circuits and Systems: Making Waves in Texas, WMCS 2021). doi: 10.1109/WMCS52222.2021.9493278

Hermite - Gaussian Decompositon of Electromagnetic Fields at a Constant Range in Half Space Wave Propagation

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