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".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Penyelesaian analisis telah diperolehi untuk penyerakan elektromagnet oleh kanta Luneberg yang diubah suai dengan kebolehtelapan fungsi parabola sewenang-wenangnya. Ia dinyatakan oleh empat fungsi gelombang vektor sfera untuk medium berstrata jejari yang diperkenalkan untuk kanta Luneberg oleh CT Tai. Ia terdiri daripada fungsi hipergeometrik konfluen dan fungsi hipergeometrik konfluen "umum", di mana parameter untuk kebolehtelapan fungsi parabola sewenang-wenangnya terlibat. Ciri-ciri kanta Luneberg yang diubah suai disiasat secara berangka menggunakan penyelesaian tepat berbanding dengan kanta Luneberg konvensional. Keratan rentas bistatik, keratan rentas hadapan dan keratan rentas radar dikaji secara terperinci. Taburan medan dekat juga disiasat untuk mengkaji sifat fokus kanta Luneberg. Anjakan fokus yang ditakrifkan oleh jarak antara titik fokus geometri dan titik fokus elektromagnet diperolehi untuk pelbagai ka (k ialah nombor gelombang dan a ialah jejari kanta). Anjakan fokus yang dinormalkan kepada jejari sfera menjadi lebih besar sebagai ka adalah lebih kecil. Walau bagaimanapun ia jatuh dengan cepat untuk ka<2.5 kerana kuasa penumpuan oleh kanta Luneberg menjadi lemah apabila ka adalah kecil. Kebolehgunaan kanta Luneberg yang diubah suai didapati berbanding ka>5 apabila puncak amplitud medan elektrik muncul pada permukaan sfera.
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Salinan
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
Salinan
@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},}
Salinan
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 -