The electromagnetic scattering by a three-dimensional arbitrarily shaped rotationally uniaxial anisotropic object is studied. Electromagnetic fields in a uniaxial medium are solved for first using the method of separation of variables, and then expressed in a very compact form by introducing the modified spherical vector wave functions. The equivalence theorem and the T-matrix method are applied in the analysis of the scattering problem. The scattered fields and the dyadic Green's functions both external and internal to the scatterer are derived in terms of spherical vector wave functions and matrix-form coefficients. Through making use of the dyadic Green's functions obtained, numerical results are provided for an incident field excited by an infinitesimal dipole. The scatterers are assumed to be prolate and oblate dielectric spheroids with the rotational z-axis. The angular scattering intensities in far-zone are plotted for all these cases. And some conclusions are also drawn eventually from numerical discussions.
3. Barber, P. W. and C. Yeh, "Scattering of electromagnetic waves by arbitrarily shaped dielectric bodies," Appl. Opts., Vol. 14(12), 2864-2872, Dec. 1975. doi:10.1364/AO.14.002864
4. Lakhtakia, A., V. V. Varadan, and V. K. Varadan, "Scattering and absorption characteristics of lossy dielectric, chiral, nonspherical objects," Applied Optics, Vol. 24, No. 23, 4146-4154, Dec. 1985. doi:10.1364/AO.24.004146
5. Monzon, J. C., "Three-dimensional field expansion in the most general rotationally symmetric anisotropic material: Application to scattering by a sphere," IEEE Trans. Antennas Propagat., Vol. 37, No. 6, 728-735, June 1989. doi:10.1109/8.29359
6. Wong, K.-L. and H.-T. Chen, "Electromagnetic scattering by a uniaxially anisotropic sphere," IEE Proceedings — H, Vol. 139, No. 4, 314-318, Aug. 1992.
7. Li, L. W., T. S. Yeo, P. S. Kooi, and M. S. Leong, "Microwave specific attenuation by oblate spheroidal raindrops: An exact analysis of tcs’s in terms of spheroidal wave functions," Progress In Electromagnetics Research, Vol. 18, Jin Au Kong, Ed., Vol. 18, 127–150, 1998.
8. Li, L. W., M. S. Leong, Y. Huang, and T. S. Yeo, "Dyadic Green’s functions in the presence of an arbitrarily shaped dielectric object," 9th MINDEF/NUS Joint R & D Seminar, 37-42, Jan. 1999.
9. Barber, P. W., J. F. Owen, and R. K. Chang, "Resonant scattering for characterization of axisymmetric dielectric objects," IEEE Trans. Ant. Prop., Vol. 30, No. 2, 168-172, Feb. 1982. doi:10.1109/TAP.1982.1142770
10. Hill, S. C., A. C. Hill, and P. W. Barber, "Light scattering by size/shape distributions of soil particles and spheroids," Applied Optics, Vol. 23, 1025-1031, 1984. doi:10.1364/AO.23.001025
11. Morgan, M. A., D. L. Fisher, and E. A. Milne, "Electromagnetic scattering by stratified inhomogeneous anisotropic media," IEEE Trans. Ant. Prop., Vol. 35, No. 2, 191-197, Feb. 1987. doi:10.1109/TAP.1987.1144069
12. Uzunoglu, N. K., P. G. Cottis, and J. G. Fikioris, "Excitation of electromagnetic waves in a pyroelectric cylinder," IEEE Trans. Ant. Prop., Vol. 33, No. 1, 90-95, Jan. 1995. doi:10.1109/TAP.1985.1143471
13. Monzon, J. C. and N. J. Damaskos, "Two-dimensional scattering by a homogeneous anisotropic rod," IEEE Transactions on Antenna and Propagation, Vol. 34, No. 10, 1243-1249, Oct. 1986. doi:10.1109/TAP.1986.1143739
14. Hasan, A. M. and P. L. E. Uslenghi, "Electromagnetic scattering from nonlinear anisotropic cylinders – Part I: fundamental frequency," IEEE Trans. Ant. Propa., Vol. 38, 523-533, 1990. doi:10.1109/8.52271
15. Kong, J. A., Electromagnetic Wave Theory, John Wiley & Sons, New York, The 2nd edition, 1986.
16. Tai, C. T., Dyadic Green’s Functions in Electromagnetic Theory, IEEE Press, Piscataway, New Jersey, The 2nd edition, 1994.
17. Barber, P. W. and S. C. Hill, Light Scattering by Particles: Computational Methods, World Scientific, 1990. doi:10.1142/0784
18. Stratton, J. A., Electromagnetic Theory, McGraw-Will, New York, 1941.