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Mixed Potential Spatial Domain Green's Functions in Fast Computational Form for Cylindrically Stratified Media
By
, Vol. 45, 181-199, 2004
Abstract
A new procedure for fast computing mixed potential spatial domain Green's functions for cylindrically stratified media is developed in this paper. Based on the fundamental behaviour of electric field Green's functions, spectral domain Green's functions for mixed potential integral equation (MPIE) are formulated by decomposing electric field Green's functions into appropriate forms. The spatial domain mixed potential Green's functions are obtained by using inverse Fourier transform applied to the spectral domain Green's functions. The summations of infinite cylindrical harmonics are accelerated by subtracting a term to resolve the problem of the series' slow convergence and by using the Shank's transform. The Sommerfeld integrals are efficiently evaluated using the discrete complex image method (DCIM) and the generalized pencil of function (GPOF) technique.
Citation
Jin Sun, Chao-Fu Wang, Joshua Le-Wei Li, and Mook-Seng Leong, "Mixed Potential Spatial Domain Green's Functions in Fast Computational Form for Cylindrically Stratified Media," , Vol. 45, 181-199, 2004.
doi:10.2528/PIER03071501
References

1. Fang, D. G.J. J. Yang, and G. Y. Delisle, "Discrete image theory for horizontal electric dipole in a multilayer medium," Proc. Inst. Elect. Eng. H, Vol. 135, No. 10, 297-303, 1988.

2. Chow, Y. L., J. J. Yang, D. G. Fang, and G. E. Howard, "A closedform spatial Green's function for the thick microstrip substrate," IEEE Trans. Microwave Theory Tech., Vol. 39, No. 3, 558-592, 1991.

3. Yang, J. J., Y. L. Chow, G. E. Howard, and D. G. Fang, "Complex images of an electric dipole in homogeneous and layered dielectrics between two grounded planes," IEEE Trans. Microwave Theory Tech., Vol. 40, No. 3, 595-600, 1992.
doi:10.1109/22.121743

4. Tai, C. T., Dyadic Green's Functions in Electromagnetic Theory, 2nd ed., IEEE Press, Piscataway, NI, 1994.

5. Kipp, R. A. and C. H. Chan, "Complex image method for sources in bounded regions of multilayer structures," IEEE Trans. Microwave Theory Tech., Vol. 42, No. 5, 860-865, 1994.
doi:10.1109/22.293536

6. Aksun, M. I. and R. Mittra, "Derivation of closed-form spatial Green's functions for a general microstrip geometry," IEEE Trans. Microwave Theory Tech., Vol. 40, No. 11, 2055-2062, 1992.
doi:10.1109/22.168763

7. Dural, G. and M. I. Aksun, "Closed-form Green's functions for general sources and stratified media," IEEE Trans. Microwave Theory Tech., Vol. 43, No. 7, 1545-1552, 1995.
doi:10.1109/22.392913

8. Aksun, M. I., "A robust approach for the derivation of closed-form spatial Green's functions," IEEE Trans. Microwave Theory Tech., Vol. 44, No. 5, 651-658, 1996.
doi:10.1109/22.493917

9. Ling, F. and J. M. Jin, "Discrete complex image method for Green's functions of general multilayer media," IEEE Microwave Guided Wave Lett., Vol. 10, No. 10, 400-402, 2000.
doi:10.1109/75.877225

10. Chew, W. C., Waves and Fields in Inhomogeneous Media, Van Nostrand Reinhold, New York, 1990.

11. Li, L. W., M. S. Leong, T. S. Yeo, and P. S. Kooi, "Electromagnetic dyadic Green's functions in spectral domain for multilayered cylinders," J. Electromagn. Waves and Appl., Vol. 14, No. 7, 961-986, 2000.

12. Donohoe, J. P., "Scattering from buried bodies of revolution using dyadic Green's functions in cylindrical harmonics," IEEE Antennas Propagat. Soc. Int. Symp. Dig., Vol. 4, No. 6, 1922-1925, 1998.

13. Thiel, M. and A. Dreher, "Dyadic Green's function of multilayer cylindrical closed and sector structures for waveguide, microstripantenna and network analysis," IEEE Trans. Microwave Theory Tech., Vol. 50, No. 11, 2576-2579, 2002.
doi:10.1109/TMTT.2002.804637

14. Tokgöz, C. and G. Dural, "Closed-form Green's functions for cylindrically stratified media," IEEE Trans. Microwave Theory Tech., Vol. 48, No. 1, 40-49, 2000.
doi:10.1109/22.817470

15. Sun, J., C. F. Wang, L. W. Li, and M. S. Leong, "A complete set of spatial-domain dyadic Green's function components for cylindrically stratified media in fast computational form," J. Electromagn. Waves and Appl., Vol. 16, No. 11, 1491-1509, 2002.

16. Hua, Y. and T. K. Sarkar, "Generalized pencil-of-function method for extracting poles of an EM system from its transient response," IEEE Trans. Antennas Propagat., Vol. 37, No. 2, 229-234, 1989.
doi:10.1109/8.18710

17. Erturk, V. B. and R. G. Rojas, "Efficient computation of surface fields excited on a dielectric-coated circular cylinder," IEEE Trans. Antennas Propagat., Vol. 48, No. 10, 1507-1516, 2000.
doi:10.1109/8.899666

18. Svezhentsev, A. and G. Vandenbosch, "Model for the analysis of microstrip cylindrical antennas: efficient calculation of the necessary Green's functions," 11th Int. Conf. Antennas Propagat., Vol. 2, No. 4, 615-618, 2001.
doi:10.1049/cp:20010362

19. Hall, R. C., C. H. Thng, and D. C. Chang, "Mixed potential Green's functions for cylindrical microstrip structures," IEEE Antennas Prapagat. Soc. Int. Symp., Vol. 4, 1776-1779, 1995.

20. Chen, J., A. A. Kishk, and A. W. Glission, "Application of a new mpie formulation to the analysis of a dielectric resonator embedded in a multilayered medium couple to a microstrip circuit," IEEE Trans. Microwave Theory Tech., Vol. 49, No. 2, 263-279, 2001.
doi:10.1109/22.903086

21. Shank, D., "Non-linear transformation of divergent and slowly convergent sequences," J. Math. Phy., Vol. 34, 1-42, 1955.