Replacement of the TD Wave Equation by a First Order Equation with Alternative Field Constituents

Raphael Kastner

doi:10.1109/APS/URSI47566.2021.9704772

Replacement of the TD Wave Equation by a First Order Equation with Alternative Field Constituents

Raphael Kastner^*

^*Corresponding author for this work

School of Electrical Engineering

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

Abstract

A pair of field consistuents, denoted herein as ER and EL, are suggested as an altenarive to the conventional pair E, H. These fields obey lower order equations, i.e., the first order Maxwell's curl equations are replaced by a zero order (algebraic) relationship, while the wave equation is now traded for a first order equation. As a result, the conventional use of the 6× 6 scalar, real time domain set is now consolidated a 3× 3 complex equations. This consolidated solution tracks exactly the one obtained with the original finite difference scheme.

Original language	English
Title of host publication	2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	851-852
Number of pages	2
ISBN (Electronic)	9781728146706
DOIs	https://doi.org/10.1109/APS/URSI47566.2021.9704772
State	Published - 2021
Event	2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Singapore, Singapore Duration: 4 Dec 2021 → 10 Dec 2021

Publication series

Name	2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings

Conference

Conference	2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021
Country/Territory	Singapore
City	Singapore
Period	4/12/21 → 10/12/21

Access to Document

10.1109/APS/URSI47566.2021.9704772

Cite this

Kastner, R. (2021). Replacement of the TD Wave Equation by a First Order Equation with Alternative Field Constituents. In 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings (pp. 851-852). (2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/APS/URSI47566.2021.9704772

Kastner, Raphael. / Replacement of the TD Wave Equation by a First Order Equation with Alternative Field Constituents. 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2021. pp. 851-852 (2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings).

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title = "Replacement of the TD Wave Equation by a First Order Equation with Alternative Field Constituents",

abstract = "A pair of field consistuents, denoted herein as ER and EL, are suggested as an altenarive to the conventional pair E, H. These fields obey lower order equations, i.e., the first order Maxwell's curl equations are replaced by a zero order (algebraic) relationship, while the wave equation is now traded for a first order equation. As a result, the conventional use of the 6× 6 scalar, real time domain set is now consolidated a 3× 3 complex equations. This consolidated solution tracks exactly the one obtained with the original finite difference scheme.",

author = "Raphael Kastner",

note = "Publisher Copyright: {\textcopyright} 2021 IEEE.; 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 ; Conference date: 04-12-2021 Through 10-12-2021",

year = "2021",

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Kastner, R 2021, Replacement of the TD Wave Equation by a First Order Equation with Alternative Field Constituents. in 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings. 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 851-852, 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021, Singapore, Singapore, 4/12/21. https://doi.org/10.1109/APS/URSI47566.2021.9704772

Replacement of the TD Wave Equation by a First Order Equation with Alternative Field Constituents. / Kastner, Raphael.
2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2021. p. 851-852 (2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings).

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

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Kastner R. Replacement of the TD Wave Equation by a First Order Equation with Alternative Field Constituents. In 2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2021. p. 851-852. (2021 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, APS/URSI 2021 - Proceedings). doi: 10.1109/APS/URSI47566.2021.9704772

Replacement of the TD Wave Equation by a First Order Equation with Alternative Field Constituents

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