Arbitrary Rigid Translation of the Spherical Vector Wave Functions

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Abstract

The need to rigidly translate the solutions of the vector wave equation in spherical coordinates towards an arbitrary direction arises in a plethora of antenna measurement applications. Translating the spherical vector wave functions is a necessary step for the derivation of a spherical near-field transmission formula. It can also be used in the estimation of uncertainty errors in spherical near-field antenna measurements, as well as in scattering applications. There are primarily three methods to achieve such translations, with all of them employing the so-called "addition theorems". In this paper, we analyze and compare these methods, discussing their advantages and disadvantages and suggest a modification that can render the whole process faster and more efficient.
Original languageEnglish
Title of host publication2022 Antenna Measurement Techniques Association Symposium (AMTA)
Number of pages6
PublisherIEEE
Publication date2022
ISBN (Print)978-1-7362351-4-0
DOIs
Publication statusPublished - 2022
EventThe 44th Annual Meeting and Symposium of the Antenna Measurement Techniques Association Symposium (AMTA) - The Westin Westminster, Denver, United States
Duration: 9 Oct 202214 Oct 2022

Conference

ConferenceThe 44th Annual Meeting and Symposium of the Antenna Measurement Techniques Association Symposium (AMTA)
LocationThe Westin Westminster
Country/TerritoryUnited States
CityDenver
Period09/10/202214/10/2022

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