Reactive Surfaces as Half-Duals of PECs/PMCs

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Abstract

Duality between electric and magnetic fields and parameters has long been recognized as a useful shortcut for inferring solutions to certain problems from their known duals. In this work, we suggest the use of 'half-way dual' fields for extending the range of problems that can be addressed in this way. To this end, a workable expression for the fractional curl operator of order one-half is derived. While general expressions for fractional derivatives are purely formal and hard to implement, the special case of electromagnetic fields enables substantial simplification that leads to this closed form expression. It is then used to formulate a four-field set of Maxwell-type equations, that include two half-way dual fields in addition to the original E and H. As an example, the solution to a reactive surface is inferred from its PEC half-way dual.

Original languageEnglish
Title of host publication2019 IEEE International Conference on Microwaves, Antennas, Communications and Electronic Systems, COMCAS 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781538695494
DOIs
StatePublished - Nov 2019
Event2019 IEEE International Conference on Microwaves, Antennas, Communications and Electronic Systems, COMCAS 2019 - Tel-Aviv, Israel
Duration: 4 Nov 20196 Nov 2019

Publication series

Name2019 IEEE International Conference on Microwaves, Antennas, Communications and Electronic Systems, COMCAS 2019

Conference

Conference2019 IEEE International Conference on Microwaves, Antennas, Communications and Electronic Systems, COMCAS 2019
Country/TerritoryIsrael
CityTel-Aviv
Period4/11/196/11/19

Keywords

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