The History of The
Principle of Self-Complementarity.

From the backgrounds of the origination and the discovery
to the extensions of the principle.

(Minus number shows background).
$B!]#4(B $B#1#9#4#1(B
New expressions of the electromagnetic fields where both the electric and the magnetic quantities are treated on an equal basis.
J. A. Stratton (U. S. A.)
$B!]#3(B $B#1#9#4#5(B
A relationship between two radiation impedances for a narrow slot antenna and a complementary wire antenna derived from a classical antenna theory.
Z1Z2$B"b(B(Z0/2)2 T. Matsumoto (Hokkaido Univ.)
M. Ito (Hiroshima Tech. Coll.)
(1946) H. G. Booker (U. K.)
$B!]#2(B $B#1#9#4#5(B
Babinet's Principle in electromagnetic fields.
M. Kotani (Univ. of Tokyo), G. Sunouchi (Tohoku Univ.)
$B!]#1(B $B#1#9#4#7(B
A general relationship between two input impedances for an arbitrarily shaped slot antenna and a complementary planar sheet antenna.
Z1Z2 =(Z0/2)2 Y. Mushiake (Tohoku Univ.)
0 $B#1#9#4#8(B

of the Principle of Self-Complementarity (Origination of the self-complementary antennas and the discovery of its constant-impedance property).

Z1 = Z2 = Z0/2$B"b(B60$B&P(B$B"b(B188.4 [$B&8(B].
Y. Mushiake (Tohoku Univ.)
$B#1(B $B#1#9#4#8(B

Rotationally symmetric two-terminal self-complementary planar antenna.

Balanced type, 60$B&P(B$B"b(B188.4 [$B&8(B].
Y. Mushiake (Tohoku Univ.)
$B#2(B $B#1#9#4#8(B

Axially symmetric two-terminal self-complementary planar antenna.

Unbalanced type, 60$B&P(B$B"b(B188.4 [$B&8(B].
Y. Mushiake (Tohoku Univ.)
$B#3(B $B#1#9#5#9(B

Rotationally symmetric four-terminal self-complementary planar antenna (turnstile type)

Star-connection type, 30$B&P(B$B"b(B 133.2 [$B&8(B] each.
Y. Mushiake (Tohoku Univ.)
$B#4(B $B#1#9#5#9(B

Rotationally symmetric multi-terminal self-complementary planar antennas.

Star-, ring-, and other connections for various values of input impedances.

G. A. Deschamps (U. S. A.)
$B#5(B $B#1#9#6#3(B

Three-dimensional multi(N)-planar axially symmetric two-terminal self-complementary antenna.

Unbalanced type, 60$B&P(B/ N $B"b(B 94.2 [$B&8(B], for N=2.
Y. Mushiake (Tohoku Univ.)
$B#6(B $B#1#9#7#2(B

Checkerboard type multi-terminal self-complementary planar antenna.*

Balanced type, 60$B&P(B$B"b(B 188.4  [$B&8(B] each..
N. Inagaki (Nagoya Tech. Univ.)
$B#7(B $B#1#9#7#8(B

Modified three-dimensional self-complementary antenna.* *

Unbalanced type, 30$B&P(B$B"b(B 133.2 [$B&8(B].
T. Kasahara, T. Ishizone, Y. Mushiake (Tohoku Univ.)
$B#8(B $B#1#9#8#1(B

Modified three-dimensional self-complementary transmission line.

Unbalanced type, 30$B&P(B$B"b(B 133.2 [$B&8(B].
T. Ishizone (Tohoku Univ.)
$B#9(B $B#1#9#8#2(B
Co-planar stacked self-complementary antenna.
Unbalanced type, 60$B&P(B$B"b(B 188.4 [$B&8(B] each.
Y. Mushiake (Tohoku Univ.)
$B#1#0(B $B#1#9#8#2(B
Side-by-side stacked self-complementary antenna.
Unbalanced type, 60$B&P(B$B"b(B 188.4 [$B&8(B] each.
Y. Mushiake (Tohoku Univ.)
$B#1#1(B $B#1#9#8#2(B
Compound-stacked self-complementary antenna.
Unbalanced type, 60$B&P(B$B"b(B 188.4 [$B&8(B] each.
Y. Mushiake (Tohoku Univ.)
$B#1#2(B $B#1#9#9#4(B

Axially symmetric self-complementary antenna with loaded multi-element.

Unbalanced type, 60$B&P(B$B"b(B 188.4 [$B&8(B] each.
Y. Mushiake (Tohoku Univ.)

* Freedom in the shape is restricted to similitude-transformation.
* * Theoretical proof for general cases has not been succeeded, except for the
monopoly-slot type array antenna.

Self-Complementary Antenna
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