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PIERS Online
Vol. 2
No. 6
2006
pp: 573-575Closed-form Expressions for Layered Media Green's Functions That are Reliable Both in the Near Field and in the Far FieldRafael R. Boix, Francisco L. Mesa, and Francisco Medina doi:10.2529/PIERS060807124124 Downloads: 1044 Abstract:The authors have developed an algorithm for the determination of accurate closed-form expressions of Green's functions for multilayered media. The algorithm is based on the fitting of the spectral domain Green's functions in terms of an asymptotic term plus a ratio of two polynomials. The fitting is carried out via the method of total least squares, which is a non-iterative method demanding very few computational resources. The resulting closed-form expressions for the Green's functions consist of a quasistatic term plus a sum of cylindrical waves. The quasistatic term provides the near-field behavior and the cylindrical waves provide the farfield behavior. As a consequence of this, the closed-form expressions are very accurate irrespective of the distance between the source point and the observation point.References:1. Mosig, J. R., "Integral equation technique," Numerical Techniques for Microwave and Millimeter-Wave Passive Structures, edited by T. Itoh, 133-213, Wiley, New York, 1989. 2. Michalski, K. A., "Extrapolation methods for Sommerfeld integral tails," IEEE Trans. Antennas Propagat., Vol. 46, 1405-1418, Oct., 1998. 3. Mosig, J. R. and Alvarez-Melcon, "Green's functions in lossy layered media: integration along the imaginary axis and asymptotic behavior," IEEE Trans. Antennas Propagat., Vol. 51, 3200-3208, Dec., 2003. 4. Chow, Y. L., J. J. Yang, D. G. Fang, and G. E. Howard, "A closed-form spatial Green's function for the thick microstrip substrate," IEEE Trans. Microwave Theory Tech., Vol. 39, 588-592, Mar., 1991. 5. Yuan, M., T. K. Sarkar, and M. Salazar-Palma, "A direct discrete complex image method from the closed-form Green's functions in multilayered media," IEEE Trans. Microwave Theory Tech., Vol. 54, 1025-1032, Mar., 2006. 6. Teo, S. A., S. T. Chew, and M. S. Leong, "Error analysis of the discrete complex image method and pole extraction," IEEE Trans. Microwave Theory Tech., Vol. 51, 406-413, Feb., 2003. 7. Kourkoulos, V. N. and A. C. Cangellaris, "Accurate approximation of Green's functions in planar stratified media in terms of a finite sum of spherical and cylindrical waves," IEEE Trans. Antennas Propagat., Vol. 54, 1568-1576, May, 2006. 8. Michalski, K. A. and D. Zheng, "Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media, part I: theory," IEEE Trans. Antennas Propagat., Vol. 38, 335-344, Mar., 1990. 9. Demuynck, F. J., G. A. E. Vandenbosch, and A. R. van de Capelle, "The expansion wave concept-part I: effcient calculation of spatial Green's functions in a stratified dielectric medium," IEEE Trans. Antennas Propagat., Vol. 46, 397-406, Mar., 1998. 10. Rahman, J. and T. K. Sarkar, "Deconvolution and total least squares in finding the impulse response of an electromagnetic system from measured data," IEEE Trans. Microwave Theory Tech., Vol. 54, 416-421, Apr., 1995. |
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