Abstract
The frequency-dependent constitutive relations of a simple uniaxial bianisotropic medium are stated as D = U · [εΕ + aH] and B = U · [βΕ + μΗ], where U = (I - uu) + q2uu, q>0, and u is some constant unit vector. Using an affine transformation, expressions for the fields in the source regions are derived for this medium. The derivations also yield expressions for the polarizability dyadics of an electrically small, bianisotropic object embedded in the considered medium, and may be used for constructing the extended Maxwell Garnett homogenization model of a wide class of particulate composites.
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References
1.
van Bladel
J.
, Singular Electromagnetic Fields and Sources (Clarendon Press , Oxford , 1991 ).
2.
van Bladel
J.
IRE Trans. Antennas Propagat. 9 (1961 ) 563 .
3.
Yaghjian
A.D.
, Proc. IEEE 68 (1980 ) 248 .
4.
Fikioris
J.G.
, J. Math. Phys. 6 (1965 ) 1617 .
5.
Wang
J.J.H.
, IEEE Trans. Antennas Propagat. 30 (1982 ) 463 .
6.
Wang
J.J.H.
, Generalized Moment Methods in Electromagnetics (Wiley , New York , 1991 ).
7.
Lakhtakia
A.
, Int. J. Mod. Phys. C 3 (1992 ) 583 .; errata 4 (1993) 721.
8.
Poggio
A.J.
and
Miller
E.K.
, in: Computer Techniques for Electromagnetics, ed .
Mittra
R.
(Pergamon Press , Oxford , 1973 ).
9.
Chen
H.C.
, Theory of Electromagnetic Waves : A. Coordinate-Free Approach (McGraw-Hill , New York , 1983 ).
10.
Lakhtakia
A.
and
Shanker
B.
, Int. J. Appl. Electromagn. Mater. 4 (1993 ) 65 .
11.
Weiglhofer
W.S.
, Radio Science 28 (1993 ) 847 .
12.
Weiglhofer
W.S.
, IEE-Proc. H 134 (1987 ) 357 .
13.
Weiglhofer
W.S.
, IEE-Proc. H 137 (1990 ) 5 .
14.
Lakhtakia
A.
, Int. J. Electron. 73 (1992 ) 1355 .
15.
Lakhtakia
A.
and
Weiglhofer
W.S.
, IEEE-Proc. H 139 (1992 ) 217 .
16.
Lakhtakia
A.
and
Weiglhofer
W.S.
, Acta Crystallogr. A 49 (1993 ) 266 .
17.
Monzon
J.C.
, IEEE Trans. Antennas Propagat. 38 (1990 ) 227 .
18.
Lakhtakia
A.
, Int. J. Appl. Electromagn. Mater. 3 (1992 ) 101 .
19.
Weiglhofer
W.S.
and
Lindell
I.V.
, Int. J. Appl. Electromagn. Mater. 4 (1993 ) 211 .
20.
Weiglhofer
W.S.
, Int. J. Electron. (1993 ), submitted.
21.
Dixon
W.G.
, Special Relativity: The Foundation of Macroscopic Physics (Cambridge Univ. Press , Cambridge , 1978 ).
22.
Norris
L.K.
, Phys. Rev. D 31 (1985 ) 3090 .
23.
Feder
J.
, Fractals (Plenum Press , New York , 1988 ).
24.
Chen
K.M.
and
Guru
B.S.
, IEEE Trans. Microwave Theory Tech. 25 (1977 ) 746 .
25.
Hagmann
M.J.
,
Gandhi
O.P.
and
Durney
C.H.
, IEEE Trans. Microwave Theory Tech. 25 (1977 ) 831 .