The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Des solutions analytiques ont été obtenues pour la diffusion électromagnétique par une lentille de Luneberg modifiée avec la permittivité d'une fonction parabolique arbitraire. Elles sont exprimées par quatre fonctions d'onde vectorielles sphériques pour milieu radialement stratifié qui ont été introduites pour la lentille de Luneberg par CT Tai. Ils se composent de la fonction hypergéométrique confluente et d'une fonction hypergéométrique confluente « généralisée », dans laquelle les paramètres de permittivité d'une fonction parabolique arbitraire sont impliqués. Les caractéristiques de la lentille de Luneberg modifiée sont étudiées numériquement à l'aide de solutions exactes par rapport à celles de la lentille de Luneberg conventionnelle. La section efficace bistatique, la section efficace avant et la section efficace radar sont étudiées en détail. La distribution en champ proche est également étudiée afin d'étudier les propriétés focales de la lentille de Luneberg. Les déplacements focaux définis par la distance entre le foyer géométrique et le foyer électromagnétique sont obtenus pour diverses ka (k est le numéro d'onde et a est le rayon de la lentille). Le décalage focal normalisé au rayon de la sphère devient d'autant plus grand que ka est plus petit. Cependant, il diminue rapidement pour ka<2.5 car le pouvoir de convergence par la lentille de Luneberg devient faible lorsque ka est petite. Les permittivités d'une lentille de Luneberg modifiée se trouvent en fonction de ka>5 lorsque le pic de l'amplitude du champ électrique apparaît à la surface de la sphère.
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Haruo SAKURAI, Makoto OHKI, Shogo KOZAKI, "Analysis of Modified Luneberg Lens Using Exact Solutions" in IEICE TRANSACTIONS on Electronics,
vol. E82-C, no. 10, pp. 1846-1852, October 1999, doi: .
Abstract: Analytical solutions have been obtained for the electromagnetic scattering by a modified Luneberg lens with the permittivity of arbitrary parabolic function. They are expressed by four spherical vector wave functions for radially stratified medium which were introduced for the Luneberg lens by C. T. Tai. They consist of the confluent hypergeometric function and a "generalized" confluent hypergeometric function, in which the parameters for the permittivity of arbitrary parabolic function are involved. The characteristics of the modified Luneberg lens are numerically investigated using exact solutions in comparison with that of the conventional Luneberg lens. The bistatic cross section, the forward cross section and the radar cross section are studied in detail. The near-field distribution is also investigated in order to study the focal properties of the Luneberg lens. The focal shifts defined by the distance between the geometrical focal point and the electromagnetic focal point are obtained for various ka (k is the wave number and a is the radius of the lens). The focal shift normalized to the radius of the sphere becomes larger as ka is smaller. However it drops down rapidly for ka<2.5 because the power of convergence by the Luneberg lens becomes weak when ka is small. The permittivities of a modified Luneberg lens are found versus ka>5 when the peak of the electric field amplitude appears on the surface of sphere.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e82-c_10_1846/_p
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@ARTICLE{e82-c_10_1846,
author={Haruo SAKURAI, Makoto OHKI, Shogo KOZAKI, },
journal={IEICE TRANSACTIONS on Electronics},
title={Analysis of Modified Luneberg Lens Using Exact Solutions},
year={1999},
volume={E82-C},
number={10},
pages={1846-1852},
abstract={Analytical solutions have been obtained for the electromagnetic scattering by a modified Luneberg lens with the permittivity of arbitrary parabolic function. They are expressed by four spherical vector wave functions for radially stratified medium which were introduced for the Luneberg lens by C. T. Tai. They consist of the confluent hypergeometric function and a "generalized" confluent hypergeometric function, in which the parameters for the permittivity of arbitrary parabolic function are involved. The characteristics of the modified Luneberg lens are numerically investigated using exact solutions in comparison with that of the conventional Luneberg lens. The bistatic cross section, the forward cross section and the radar cross section are studied in detail. The near-field distribution is also investigated in order to study the focal properties of the Luneberg lens. The focal shifts defined by the distance between the geometrical focal point and the electromagnetic focal point are obtained for various ka (k is the wave number and a is the radius of the lens). The focal shift normalized to the radius of the sphere becomes larger as ka is smaller. However it drops down rapidly for ka<2.5 because the power of convergence by the Luneberg lens becomes weak when ka is small. The permittivities of a modified Luneberg lens are found versus ka>5 when the peak of the electric field amplitude appears on the surface of sphere.},
keywords={},
doi={},
ISSN={},
month={October},}
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TY - JOUR
TI - Analysis of Modified Luneberg Lens Using Exact Solutions
T2 - IEICE TRANSACTIONS on Electronics
SP - 1846
EP - 1852
AU - Haruo SAKURAI
AU - Makoto OHKI
AU - Shogo KOZAKI
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E82-C
IS - 10
JA - IEICE TRANSACTIONS on Electronics
Y1 - October 1999
AB - Analytical solutions have been obtained for the electromagnetic scattering by a modified Luneberg lens with the permittivity of arbitrary parabolic function. They are expressed by four spherical vector wave functions for radially stratified medium which were introduced for the Luneberg lens by C. T. Tai. They consist of the confluent hypergeometric function and a "generalized" confluent hypergeometric function, in which the parameters for the permittivity of arbitrary parabolic function are involved. The characteristics of the modified Luneberg lens are numerically investigated using exact solutions in comparison with that of the conventional Luneberg lens. The bistatic cross section, the forward cross section and the radar cross section are studied in detail. The near-field distribution is also investigated in order to study the focal properties of the Luneberg lens. The focal shifts defined by the distance between the geometrical focal point and the electromagnetic focal point are obtained for various ka (k is the wave number and a is the radius of the lens). The focal shift normalized to the radius of the sphere becomes larger as ka is smaller. However it drops down rapidly for ka<2.5 because the power of convergence by the Luneberg lens becomes weak when ka is small. The permittivities of a modified Luneberg lens are found versus ka>5 when the peak of the electric field amplitude appears on the surface of sphere.
ER -