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Pattern Synthesis of Spatial Eigenmodes Exploiting Spherical Conformal Array
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Summary :
Unique spatial eigenmodes for the spherical coordinate system are shown to be successfully synthesized by properly allocated combinations of current distributions along θ' and φ' on a spherical conformal array. The allocation ratios are analytically found in a closed form with a matrix that relates the expansion coefficients of the current to its radiated field. The coefficients are obtained by general Fourier expansion of the current and the mode expansion of the field, respectively. The validity of the obtained formulas is numerically confirmed, and important effects of the sphere radius and the degrees of the currents on the radiated fields are numerically explained. The formulas are used to design six current distributions that synthesize six unique eigenmodes. The accuracy of the synthesized fields is quantitatively investigated, and the accuracy is shown to be remarkably improved by more than 27dB with two additional kinds of current distributions.
- Publication
- IEICE TRANSACTIONS on Communications Vol.E105-B No.10 pp.1231-1239
- Publication Date
- 2022/10/01
- Publicized
- 2022/04/06
- Online ISSN
- 1745-1345
- DOI
- 10.1587/transcom.2021EBP3175
- Type of Manuscript
- PAPER
- Category
- Antennas and Propagation
Authors
Akira SAITOU
the University of Electro-Communications
Ryo ISHIKAWA
the University of Electro-Communications
Kazuhiko HONJO
the University of Electro-Communications
Keyword
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Akira SAITOU, Ryo ISHIKAWA, Kazuhiko HONJO, "Pattern Synthesis of Spatial Eigenmodes Exploiting Spherical Conformal Array" in IEICE TRANSACTIONS on Communications,
vol. E105-B, no. 10, pp. 1231-1239, October 2022, doi: 10.1587/transcom.2021EBP3175.
Abstract: Unique spatial eigenmodes for the spherical coordinate system are shown to be successfully synthesized by properly allocated combinations of current distributions along θ' and φ' on a spherical conformal array. The allocation ratios are analytically found in a closed form with a matrix that relates the expansion coefficients of the current to its radiated field. The coefficients are obtained by general Fourier expansion of the current and the mode expansion of the field, respectively. The validity of the obtained formulas is numerically confirmed, and important effects of the sphere radius and the degrees of the currents on the radiated fields are numerically explained. The formulas are used to design six current distributions that synthesize six unique eigenmodes. The accuracy of the synthesized fields is quantitatively investigated, and the accuracy is shown to be remarkably improved by more than 27dB with two additional kinds of current distributions.
URL: https://global.ieice.org/en_transactions/communications/10.1587/transcom.2021EBP3175/_p
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@ARTICLE{e105-b_10_1231,
author={Akira SAITOU, Ryo ISHIKAWA, Kazuhiko HONJO, },
journal={IEICE TRANSACTIONS on Communications},
title={Pattern Synthesis of Spatial Eigenmodes Exploiting Spherical Conformal Array},
year={2022},
volume={E105-B},
number={10},
pages={1231-1239},
abstract={Unique spatial eigenmodes for the spherical coordinate system are shown to be successfully synthesized by properly allocated combinations of current distributions along θ' and φ' on a spherical conformal array. The allocation ratios are analytically found in a closed form with a matrix that relates the expansion coefficients of the current to its radiated field. The coefficients are obtained by general Fourier expansion of the current and the mode expansion of the field, respectively. The validity of the obtained formulas is numerically confirmed, and important effects of the sphere radius and the degrees of the currents on the radiated fields are numerically explained. The formulas are used to design six current distributions that synthesize six unique eigenmodes. The accuracy of the synthesized fields is quantitatively investigated, and the accuracy is shown to be remarkably improved by more than 27dB with two additional kinds of current distributions.},
keywords={},
doi={10.1587/transcom.2021EBP3175},
ISSN={1745-1345},
month={October},}
Copy
TY - JOUR
TI - Pattern Synthesis of Spatial Eigenmodes Exploiting Spherical Conformal Array
T2 - IEICE TRANSACTIONS on Communications
SP - 1231
EP - 1239
AU - Akira SAITOU
AU - Ryo ISHIKAWA
AU - Kazuhiko HONJO
PY - 2022
DO - 10.1587/transcom.2021EBP3175
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E105-B
IS - 10
JA - IEICE TRANSACTIONS on Communications
Y1 - October 2022
AB - Unique spatial eigenmodes for the spherical coordinate system are shown to be successfully synthesized by properly allocated combinations of current distributions along θ' and φ' on a spherical conformal array. The allocation ratios are analytically found in a closed form with a matrix that relates the expansion coefficients of the current to its radiated field. The coefficients are obtained by general Fourier expansion of the current and the mode expansion of the field, respectively. The validity of the obtained formulas is numerically confirmed, and important effects of the sphere radius and the degrees of the currents on the radiated fields are numerically explained. The formulas are used to design six current distributions that synthesize six unique eigenmodes. The accuracy of the synthesized fields is quantitatively investigated, and the accuracy is shown to be remarkably improved by more than 27dB with two additional kinds of current distributions.
ER -
English
