Arbitrary Rigid Translation of the Spherical Vector Wave Functions

Kyriakos Kaslis; Samel Arslanagic; Olav Breinbjerg

doi:10.23919/AMTA55213.2022.9954606

Arbitrary Rigid Translation of the Spherical Vector Wave Functions

Kyriakos Kaslis, Samel Arslanagic, Olav Breinbjerg

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

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 language	English
Title of host publication	2022 Antenna Measurement Techniques Association Symposium (AMTA)
Number of pages	6
Publisher	IEEE
Publication date	2022
ISBN (Print)	978-1-7362351-4-0
DOIs	https://doi.org/10.23919/AMTA55213.2022.9954606
Publication status	Published - 2022
Event	The 44th Annual Meeting and Symposium of the Antenna Measurement Techniques Association Symposium (AMTA) - The Westin Westminster, Denver, United States Duration: 9 Oct 2022 → 14 Oct 2022

Conference

Conference	The 44th Annual Meeting and Symposium of the Antenna Measurement Techniques Association Symposium (AMTA)
Location	The Westin Westminster
Country/Territory	United States
City	Denver
Period	09/10/2022 → 14/10/2022

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title = "Arbitrary Rigid Translation of the Spherical Vector Wave Functions",

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.",

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year = "2022",

doi = "10.23919/AMTA55213.2022.9954606",

language = "English",

isbn = "978-1-7362351-4-0",

booktitle = "2022 Antenna Measurement Techniques Association Symposium (AMTA)",

publisher = "IEEE",

address = "United States",

note = "The 44th Annual Meeting and Symposium of the Antenna Measurement Techniques Association Symposium (AMTA) ; Conference date: 09-10-2022 Through 14-10-2022",

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Kaslis, K, Arslanagic, S & Breinbjerg, O 2022, Arbitrary Rigid Translation of the Spherical Vector Wave Functions. in 2022 Antenna Measurement Techniques Association Symposium (AMTA). IEEE, The 44th Annual Meeting and Symposium of the Antenna Measurement Techniques Association Symposium (AMTA), Denver, Colorado, United States, 09/10/2022. https://doi.org/10.23919/AMTA55213.2022.9954606

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T1 - Arbitrary Rigid Translation of the Spherical Vector Wave Functions

AU - Kaslis, Kyriakos

AU - Arslanagic, Samel

AU - Breinbjerg, Olav

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

U2 - 10.23919/AMTA55213.2022.9954606

DO - 10.23919/AMTA55213.2022.9954606

M3 - Article in proceedings

SN - 978-1-7362351-4-0

BT - 2022 Antenna Measurement Techniques Association Symposium (AMTA)

PB - IEEE

T2 - The 44th Annual Meeting and Symposium of the Antenna Measurement Techniques Association Symposium (AMTA)

Y2 - 9 October 2022 through 14 October 2022

ER -

Arbitrary Rigid Translation of the Spherical Vector Wave Functions

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