The time-harmonic electromagnetic field in a uniaxial dielectric-magnetic medium is considered. Specifically, using the approach of Fikioris, expressions to estimate the electromagnetic field in a source region are obtained. The derived results are specialized for an electrically small source region of arbitrary convex shape, and detailed calculations are presented for spherical geometry. These specialized results may be applied for scattering by an electrically small object as well as in homogenization of particulate composites.
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References
1.
van BladelJ., Singular Electromagnetic Fields and Sources, Clarendon Press, Oxford, 1991.
2.
LakhtakiaA. and WeiglhoferW.S., Int. J. Appl. Electromagn. Mater. 5 (1994), 101.
3.
van BladelJ., IRE Trans. Antennas Propagai. 9 (1961), 563.
4.
YaghjianA.D., Proc. IEEE68 (1980), 248.
5.
JakobyB. and OlyslagerF., Electron. Lett. 31 (1995), 779; errata: 31 (1995), 1396.
6.
FikiorisJ.G., J. Math. Phys.6 (1965), 1617.
7.
WangJ.J.H., Generalized Moment Methods in Electromagnetics, Wiley, New York, 1991.
8.
LeeS.-W., BoersmaJ., LawC.-L. and DeschampsG. A., IEEE Trans. Antennas Propagai. 28 (1980), 311.
9.
PrinkeyM.T., LakhtakiaA. and ShankerB., Optik96 (1994), 25.
10.
LakhtakiaA. and ShankerB., Int. J. Appl. Electromagn. Mater. 4 (1993), 65.
11.
WeiglhoferW.S., IEE Proc. H137 (1990), 5.
12.
LakhtakiaA., VaradanV.K. and VaradanV.V., Int. J. Electron. 71 (1991), 853.
13.
KelloggO.D., Foundations of Potential Theory, Dover, New York, 1953.
14.
ChenH.C., Theory of Electromagnetic Waves, TechBooks, Fairfax VA, USA, 1993.
15.
WeiglhoferW.S. and LakhtakiaA., Int. J. Infrared Millim. Waves17 (1996), 1365.
16.
GradshteynI.S. and RyzhikI.M., Tables of Integrals, Series, and Products, Academic Press, New York, 1980, formula 2.271.4.
17.
WeiglhoferW.S. and LakhtakiaA., Electromagnetics15 (1995), 209.
18.
LakhtakiaA. and WeiglhoferW.S., IEE Proc. H139 (1992), 217.
19.
LakhtakiaA. and WeiglhoferWS., Acta Crystallogr. A49 (1993), 266.
20.
LakhtakiaA., ed., Selected Papers on Linear Optical Composite Materials, SPIE Opt. Engg. Press, BellinghamWA, USA, 1996.
21.
LakhtakiaA., MichelB. and WeiglhoferW.S., J. Phys. D: Appl. Phys.30 (1997), 230; Preprint No. 96/45, University of Glasgow, Department of Mathematics, June 10, 1996.
22.
LakhtakiaA., MichelB. and WeiglhoferW.S., Composites Science and Technology57 (1997), (in press); Preprint No. 96/49, University of Glasgow, Department of Mathematics, July 26 (1996).