Abstract
Singularities of three- and quasi-two-dimensional frequency-domain Green's dyadics are used to derive expressions for a Beltrami field in its source region. The mathematical developments are utilized to set up three-dimensional volume integral equations and scattering algorithms for scattering by inhomogeneous bianisotropic scatterers embedded in a homogeneous biisotropic ambient medium. Application is also made towards the effective medium properties of a particulate composite formed by randomly dispersing bianisotropic particles in a biisotropic host medium.
Get full access to this article
View all access options for this article.
References
1.
Moffatt
H.K.
, J. Fluid Mech. 35 (1969 ) 117 .
2.
Moffatt
H.K.
, Philos. Trans. Roy. Soc. A 333 (1990 ) 321 .
3.
Bialynicki-Birula
I.
Newman
E.T.
Porter
J.
Winicour
J.
Lukacs
B.
Perjes
Z.
and
Sebestyen
A.
J. Math. Phys. 22 (1981 ) 2530 .
4.
Yoshida
Z.
, J. Plasma Phys. 45 (1991 ) 481 .
5.
McKelvey
J.P.
, Am. J. Phys. 58 (1990 ) 306 .
6.
Ranada
A.F.
, Eur. J. Phys. 13 (1992 ) 70 .
7.
Zaghloul
H.
and
Barajas
O.
, Am. J. Phys. 58 (1990 ) 783 .
8.
Chandrasekhar
S.
and
Kendall
P.C.
, Astrophys. J. 126 (1957 ) 457 .
9.
Aly
J.J.
, Astrophys. J. 283 (1984 ) 349 .
10.
Zaghloul
H.
and
Buckmaster
H.A.
, Am. J. Phys. 56 (1988 ) 801 .
11.
Shimoda
K.
,
Kawai
T.
and
Uehara
K.
Am. J. Phys. 58 (1990 ) 394 .
12.
Hillion
P.
, Int. J. Engng. Sci. 29 (1991 ) 1157 .
13.
Artola
M.
and
Cessenat
M.
, C. R. Acad. Sci. Paris, Ser. I 312 (1991 ) 373 .
14.
Lakhtakia
A.
, Speculat. Sci. Technol. , in press.
15.
Lakhtakia
A.
,
Varadan
V.K.
and
Varadan
V.V.
, Time-Harmonic Electromagnetic Fields in Chiral Media (Springer-Verlag , Heidelberg , 1989 ).
16.
Lakhtakia
A.
, Speculat. Sci. Technol. 14 (1991 ) 2 .
17.
Monzon
J.C.
, IEEE Trans. Antennas Propagat. 38 (1990 ) 227 .
18.
Sihvola
A.H.
and
Lindell
I.V.
, Microwave Opt. Tech. Lett. 4 (1991 ) 292 .
19.
Lakhtakia
A.
and
Diamond
J.R.
, Int. J. Infrared Millimeter Waves 12 (1991 ) 1167 .
20.
Moses
H.E.
and
Presser
R.T.
, Proc. R. Soc. Lond. A 431 (1990 ) 493 .
21.
Moses
H.E.
,
Nagem
R.J.
and
Sandri
G.v.H.
J. Math. Phys. 33 (1992 ) 86 .
22.
van Bladel
J.
, IEEE Trans. Antennas Propagat. 9 (1961 ) 563 .
23.
Chen
K.M.
, Proc. IEEE 65 (1977 ) 1202 .
24.
Yaghjian
A.D.
, Electromagn. 2 (1982 ) 161 .
25.
Silberstein
M.
, Radio Sci. 26 (1991 ) 183 .
26.
van Bladel
J.
, Singular Electromagnetic Fields and Sources (Clarendon , Oxford , 1991 ) chap. 3.
27.
Miller
E.K.
, IEEE Trans. Antennas Propagat. 36 (1988 ) 1281 .
28.
Lakhtakia
A.
,
Varadan
V.K.
and
Varadan
V.V.
, Appl. Opt. 29 (1990 ) 3627 .
29.
Lakhtakia
A.
, Int. J. Infrared Millimeter Waves 13 (1992 ) 551 .
30.
Faxén
H.
Z. Phys. 2 (1920 ) 219 .
31.
Lakhtakia
A.
, Arch. Elektron. Über. 45 (1991 ) 57 .
32.
Weiglhofer
W.S.
, Arch. Elektron. Über. 43 (1989 ) 51 .
33.
Lakhtakia
A.
, Arch. Elektron. Über. 45 (1991 ) 323 .
34.
Kellogg
O.D.
, Foundations of Potential Thery (Dover , New York , 1953 ) sec. VI-2.
35.
van Bladel
J.
, Electromagnetic Fields (Hemisphere , Washington, DC , 1983 ).
36.
Lakhtakia
A.
, Ber. Bunsenges. Phys. Chem. 95 (1991 ) 574 .
37.
Lakhtakia
A.
Int. J. Infrared Millimeter Waves 13 (1992 ) 869 ; erratum: ibid 14 (1993) 663;
38.
Lakhtakia
A.
Int. J. Mod. Phys. C 3 (1992 ) 583 .
39.
Lakhtakia
A.
, Optik 91 (1992 ) 35 .
40.
Lakhtakia
A.
, Int. J. Appl. Electromagn. Mater. 3 (1992 ) 101 .
41.
Shanker
B.
and
Lakhtakia
A.
, Electromagn. 12 (1992 ) 217 .
42.
O'Dell
T.H.
The Electrodynamics of Magneto-electric Media (North-Holland , Amsterdam , 1970 ).
43.
Lakhtakia
A.
, Astrophysics J. 394 (1992 ) 494 .
44.
Varadan
V.V.
,
Lakhtakia
A.
and
Varadan
V.K.
Radio Sci. 26 (1991 ) 511 .
45.
Lakhtakia
A.
, Opt. Commun. 79 (1990 ) 1 .
46.
Kröner
E.
Z. Phys. 151 (1958 ) 504 .
47.
Hashin
Z.
and
Shtrikman
S.
, J. Franklin Inst. 271 (1961 ) 336 .
48.
Korringa
J.
, J. Math. Phys. 14 (1973 ) 509 .
49.
Torquato
S.
, Appl. Mech. Rev. 44 (1991 ) 37 .
50.
Reynolds
J.A.
and
Hough
J.M.
, Proc. Phys. Soc. B 70 (1957 ) 769 .
51.
Brown
W.F.
Jr.
, J. Chem. Phys. 23 (1955 ) 1514 .
52.
Hashin
Z.
and
Shtrikman
S.
, J. Franklin Inst. 271 (1961 ) 423 .
53.
Bussemer
P.
,
Hehl
K.
Kassam
S.
and
Kaganov
M.I.
Waves in Random Media 2 (1991 ) 113 .
54.
Buep
A.H.
, J. Molecular Liq. 51 (1992 ) 279 .
55.
Lakhtakia
A.
, Adv. Chem. Phys. 85 , in press.
56.
Lakhtakia
A.
, Optik 91 (1992 ) 134 .
57.
Applequist
J.
, J. Phys. Chem. 94 (1990 ) 6564 .
58.
Lakhtakia
A.
, J. de Phys. 51 (1990 ) 2235 .
59.
Sihvola
A.H.
and
Lindell
I.V.
, J. Electromagn. Waves Appl. 6 (1992 ) 553 .
60.
Rushdie
S.
, Haroun and the Sea of Stories (Granta and Penguin , London , 1990 ).
