volume | PIER Journals

Abstract

An infinite homogeneous circular cylinder with full permittivity tensor is excited by a straight strip flowed by arbitrary axial magnetic current. A nontrivial differential equation is derived for the single axial magnetic component which is assigned a plane wave representation. The boundary conditions lead to an integral equation with nonsingular kernel which is solved by supposing a Dirac comb representation for the unknown function. The resultant Green's function multiplied by the current distribution is integrated numerically over the source to give the total field. Various numerical examples are presented and discussed.

1. Bagini, V., F. Gori, M. Santarsiero, F. Frezza, G. Schettini, and G. S. Spagnolo, "Change of energy of photons passing through rotating anisotropic elements," Eur. J. Phys., Vol. 15, 71-78, 1994.
doi:10.1088/0143-0807/15/2/006 Google Scholar

2. Mao, G., B. Fidan, and B. D. O. Anderson, "Wireless sensor network localization techniques," Computer Networks, 2006. Google Scholar

3. Dettwiller, L., "General expression of light intensity emerging from a linear anisotropic device using Stokes parameters," Journal of Modern Optics, Vol. 42, No. 4, 841-848, 1995. Google Scholar

4. Andrasic, G., R. Drewett, I. Morrow, and J. R. James, "New anisotropic monopole bandwidth extension concept," IEEE Electronics Letters, Vol. 30, No. 24, 1998-2000, 1994.
doi:10.1049/el:19941396 Google Scholar

5. Grzegorczyk, T. M., X. Chen, J. Pacheco Jr., J. Chen, B.- I. Wu, and J. A. Kong, "Reflection coefficients and Goos-Hanchen shifts in anisotropic and bianisotropic left-handed metamaterials," Progress In Electromagnetics Research, Vol. 51, 83-113, 2005.
doi:10.2528/PIER04040901 Google Scholar

6. Ren, W., X. B. Wu, Z. Yi, and W. G. Lin, "Properties of wave functions in homogeneous anisotropic media," Physical Review E, Vol. 51, No. 1, 671-679, 1995.
doi:10.1103/PhysRevE.51.671 Google Scholar

7. Ren, W., "Contributions to the electromagnetic wave theory of bounded homogeneous anisotropic media," Physical Review E, Vol. 47, No. 1, 665-673, 1993.
doi:10.1103/PhysRevE.47.664 Google Scholar

8. Graglia, R. D. and P. L. E. Uslenghi, "Electromagnetic scattering from anisotropic materials, Part I: General theory," IEEE Trans. Antennas Propag., Vol. 32, No. 8, 867-869, 1984.
doi:10.1109/TAP.1984.1143422 Google Scholar

9. Lindell, V. and F. Olyslager, "Electromagnetic source decomposition in bianisotropic media," Journal of Electromagnetic Waves and Applications, Vol. 12, No. 1, 1-23, 1998. Google Scholar

10. Senior, T. B. A. and E. Topsakal, "Diffraction by an anisotropic impedance half plane — revised solution," Progress In Electromagnetics Research, Vol. 53, 1-19, 2005.
doi:10.2528/PIER04061702 Google Scholar

11. Sjoberg, D., "On uniqueness and continuity for the quasi-linear, bianisotropic Maxwell equations, using an entropy condition," Progress In Electromagnetics Research, Vol. 71, 317-339, 2007.
doi:10.2528/PIER07030804 Google Scholar

12. Monzon, J. C., "On a surface integral representation for homogeneous anisotropic regions: two-dimensional case," IEEE Trans. Antennas Propag., Vol. 36, No. 10, 1401-1406, 1988.
doi:10.1109/8.8627 Google Scholar

13. Zhang, M., T. S. Yeo, W. Li, and M. S. Leong, "Electromagnetic scattering by a multilayer gyrotropic bianisotropic circular cylinder," Progress In Electromagnetics Research, Vol. 40, 91-111, 2003.
doi:10.2528/PIER02101001 Google Scholar

14. Hasan, M. A. and P. L. E. Uslenghi, "Electromagnetic scattering from nonlinear anisotropic cylinders—Part I: Fundamental frequency," IEEE Trans. Antennas Propag., Vol. 38, No. 4, 523-533, 1990.
doi:10.1109/8.52271 Google Scholar

15. Uzunoglu, N. K., P. G. Cottis, and J. G. Fikioris, "Excitation of electromagnetic waves in a gyroelectric cylinder," IEEE Trans. Antennas Propag., Vol. 38, No. 4, 523-533, 1990.
doi:10.1109/8.52271 Google Scholar

16. Wu, X. B. and K. Yasumoto, "Three-dimensional scattering by an infinite homogeneous anisotropic circular cylinder: an analytical solution," J. Appl. Phys., Vol. 82, No. 5, 1996-2003, 1997.
doi:10.1063/1.366009 Google Scholar

17. Monzon, J. C., "Three-dimensional scattering by an infinite homogeneous anisotropic circular cylinder: A spectral approach," IEEE Trans. Antennas Propag., Vol. 35, No. 6, 670-682, 1987.
doi:10.1109/TAP.1987.1144159 Google Scholar

18. Lamensdorf, D. and C.-Y. Ting, "An experimental and theoretical study of the monopole embedded in a cylinder of anisotropic dielectric," IEEE Trans. Antennas Propag., Vol. 16, No. 3, 342-349, 1968.
doi:10.1109/TAP.1968.1139181 Google Scholar

19. Bichutskaya, T. I. and G. I. Makarov, "Radiation of the point source from an anisotropic plasma cylinder," Radiophysics and Quantum Electronics, Vol. 44, No. 8, 616-625, 2001.
doi:10.1023/A:1012573521982 Google Scholar

20. Ren, W. and X. B. Wu, "Application of an eigenfunction representation to the scattering of a plane wave by an anisotropically coated circular cylinder," J. Phys. D: Appl. Phys., Vol. 28, 1031-1039, 1995.
doi:10.1088/0022-3727/28/6/003 Google Scholar

21. Monzon, J. C. and N. J. Damaskos, "Two-dimensional scattering by a homogeneous anisotropic rod," IEEE Trans. Antennas Propag., Vol. 34, No. 10, 1243-1249, 1986.
doi:10.1109/TAP.1986.1143739 Google Scholar

22. Clemmow, P. C., The Plane Wave Spectrum Representation of Electromagnetic Fields, 3-10, 3-10, 1996.

23. Uzunoglu, N. K. and A. R. Holt, "The scattering of electromagnetic radiation from dielectric scatterers," J. Phys. A: Math Gen., Vol. 10, No. 3, 413-424, 1977.
doi:10.1088/0305-4470/10/3/014 Google Scholar

24. Stratton, J. A., Electromagnetic Theory, 364-365, 364-365, 1941.

25. Steocker, H. and J. Harris, Handbook of Mathematics and Computational Science, 350-353, 350-353, 1998.

26. Valagiannopoulos, C. A., "Arbitrary currents on circular cylinder with inhomogeneous cladding and RCS optimization," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 5, 665-680.
doi:10.1163/156939307780667337 Google Scholar

27. Matthew, N. and O. Sadiku, Numerical Techniques in Electromagnetics, 293-294, 293-294, 2000.

28. Mainguy, S. and J.-J. Greffet, "A numerical evaluation of Rayleigh's theory applied to scattering by randomly rough dielectric surfaces," Waves in Random Media, Vol. 8, 89-101, 1998.
doi:10.1088/0959-7174/8/1/009 Google Scholar

29. Nesterenko, M. V. and V. A. Katrich, "The asymptotic solution of an integral equation for magnetic current in a problem of waveguide coupling through narrow slots," Progress In Electromagnetics Research, Vol. 57, 101-129, 2006.
doi:10.2528/PIER05060902 Google Scholar

30. Mauch, S., Introduction to Methods of Applied Mathematics, 462-467, 462-467.

31. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards, 1970.

Prof. Constantinos Valagiannopoulos