Physical limitations on antennas of arbitrary shape

被引:195
作者
Gustafsson, Mats [1 ]
Sohl, Christian [1 ]
Kristensson, Gerhard [1 ]
机构
[1] Lund Univ, Dept Elect & Informat Technol, S-22100 Lund, Sweden
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2007年 / 463卷 / 2086期
关键词
physical limitations; antennas; polarizability; scattering cross-section; dispersion relation; optical theorem;
D O I
10.1098/rspa.2007.1893
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, physical limitations on bandwidth, realized gain, Q-factor and directivity are derived for antennas of arbitrary shape. The product of bandwidth and realizable gain is shown to be bounded from above by the eigenvalues of the long-wavelength, high-contrast polarizability dyadics. These dyadics are proportional to the antenna volume and are easily determined for an arbitrary geometry. Ellipsoidal antenna volumes are analysed in detail, and numerical results for some generic geometries are presented. The theory is verified against the classical Chu limitations for spherical geometries and shown to yield sharper bounds for the ratio of the directivity and the Q-factor for non-spherical geometries.
引用
收藏
页码:2589 / 2607
页数:19
相关论文
共 19 条
[1]   Absorption efficiency of receiving antennas [J].
Andersen, JB ;
Frandsen, A .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2005, 53 (09) :2843-2849
[2]  
[Anonymous], 1982, SCATTERING THEORY WA, DOI DOI 10.1007/978-3-642-88128-2
[3]   PHYSICAL LIMITATIONS OF OMNI-DIRECTIONAL ANTENNAS [J].
CHU, LJ .
JOURNAL OF APPLIED PHYSICS, 1948, 19 (12) :1163-1175
[4]  
Elliott R. S., 1981, Antenna Theory and Design
[5]  
Fano RM., 1950, J Franklin Inst, V249, P57, DOI DOI 10.1016/0016-0032(50)90006-8
[6]   Bandwidth, Q factor, and resonance models of antennas [J].
Gustafsson, M. ;
Nordebo, S. .
PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER, 2006, 62 :1-20
[7]   On the non-uniqueness of the electromagnetic instantaneous response [J].
Gustafsson, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (06) :1743-1758
[8]  
GUSTAFSSON M, 2007, LUTEDXTEAT7153137200
[9]  
Hansen R. C., 2006, ELECT SMALL SUPERDIR, DOI [10.1002/0470041048, DOI 10.1002/0470041048]
[10]  
*IEEE, 1993, 1451993 IEEE STAND D