Yasuto Mushiake
Self-complementary antenna (SCA)<4,5,6,7> is a very important basic antenna for extremely broadband practical antennas. This antenna is an arbitrarily shaped antenna which is constituted with a half of an infinitely extended planar-sheet conductor such that the shape of its complementary structure is exactly identical<1,2> with that of the original structure with two terminals for the simplest case. The self-complementary antenna has constant input impedance<1,2,3> independent of the source frequency and the shape of the structure. Examples for two shapes of the structures are shown in the attached figures. The structures 1~3 are for rectangular shape, and the structures 4~6 are spiral shape. Actually,the structures extend infinitely, but the figures show only finite portions near the feed point of each structure.
The type of the self-complementary antenna is not limited only to the case of a planar antenna with two terminals, but there are more general types of structures with various grades of complexity in their structures, such as, the number of terminals, the number of reference planes, and others. They also have constant-impedance property independent of the source frequency and the shape of the structure for respective classes of structures with various grades of complexity. This general principle is called Principle of Self-Complementarity. (This is also called Mushiake Principle on the Internet.) Furthermore, the equation which gives the constant value of the input impedance for self-complementary antenna is called Mushiake Relationship. The values of the constant-impedance for various classes of complexity in the self-complementary structures depend on the respective grades of the complexity. For example, Mushiake relationship for the simplest self-complementary planar antenna with two terminals is expressed as
Z = Z0/2≒188.4 [Ω]. (Mushiake relationship)
Where Z is the input impedance of the antenna and Z0 is the intrinsic impedance of the medium.
Important note. The so-called “Log-Periodic Antenna” (commercial name) is a modified self-complementary antenna, and the original structure before its modification has a typical self-complementary shape. The “log-periodic” shape does not provide the broadband property for antennas. This fact is experimentally proved. Also, this fact is evident from the IEEE definition of “Log-Periodic Antenna” and others.
References.
- Y. Mushiake, “The input impedances of slit antennas,” J. IEE Japan, 69, 3, pp. 87-88, March 1949.
- Uda, and Y. Mushiake, “The input impedances of slit antennas,” Tech. Rep. of Tohoku Univ., 14, 1, pp. 46-59, September 1949.
- Y. Mushiake, “Constant-impedance antennas," J. IECE Japan, 48, 4, pp. 580-584, April 1965.
- Y. Mushiake, “Self-complementary antennas", IEEE Ant. Prop. Magazine, 34, No. 6, pp. 23-29, December 1992.
- Y. Mushiake, Self-Complementary Antennas―Principle of Self-Complementarity for Constant Impedance―, 139 pages, Springer-Verlag London Ltd., London, 1996.
- Y. Mushiake, Log-periodic structure provides no broad-band property for antennas. J. IECE Japan, 82, No 5, pp. 510-511, May 1999.
- Y. Mushiake, “A report on Japanese developments of antennas: From the Yagi-Uda antenna to self-complementary antennas”, IEEE Ant. Prop. Magazine, Vol. 46, No. 4, pp. 47-60, August 2004.--Yasuto Mushiake (talk) 00:04, 27 November 2013 (UTC)
Yasuto Mushiake (talk) 06:22, 26 November 2013 (UTC) --Yasuto Mushiake (talk) 07:45, 25 November 2013 (UTC) --Yasuto Mushiake (talk) 23:35, 24 November 2013 (UTC) --Yasuto Mushiake (talk) 23:06, 24 November 2013 (UTC) --Yasuto Mushiake (talk) 11:53, 24 November 2013 (UTC) --Yasuto Mushiake (talk) 05:38, 24 November 2013 (UTC) --Yasuto Mushiake (talk) 05:32, 24 November 2013 (UTC) --Yasuto Mushiake (talk) 04:59, 24 November 2013 (UTC) --Yasuto Mushiake (talk) 01:08, 24 November 2013 (UTC)
--Yasuto Mushiake (talk) 00:34, 24 November 2013 (UTC) --Yasuto Mushiake (talk) 23:39, 23 November 2013 (UTC) --Yasuto Mushiake (talk) 06:42, 23 November 2013 (UTC)
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