A method of locating leaky wave poles of spectral Green's functions for a layered medium by consecutive frequency perturbation

In this paper, based on the frequency-varied relationship between surface wave poles and leaky wave poles of spectral Green's functions for a layered medium, a new method for fast locating the leaky wave poles at the given operating frequency is established. This method locates the leaky wave poles at the given operating frequency by consecutive frequency perturbations with the surface wave poles at a proper frequency as starting poles. Numerical examples of this method applied in the combination with the discrete complex image method (DCIM) for evaluation of the Green's functions of microstrip and 2-layered medium models demonstrate the efficiency and accuracy of this method.

[1]  D. G. Fang,et al.  Antenna Theory and Microstrip Antennas , 2009 .

[2]  David R. Jackson,et al.  A leaky-wave analysis of the high-gain printed antenna configuration , 1988 .

[3]  A. Cangellaris,et al.  Accurate approximation of Green's functions in planar stratified media in terms of a finite sum of spherical and cylindrical waves , 2006, IEEE Transactions on Antennas and Propagation.

[4]  Leung Tsang,et al.  Electromagnetic Fields of Hertzian Dipoles in Layered Media of Moderate Thickness Including the Effects of All Modes , 2007, IEEE Antennas and Wireless Propagation Letters.

[5]  R. Boix,et al.  Closed-Form Expressions of Multilayered Planar Green's Functions That Account for the Continuous Spectrum in the Far Field , 2008, IEEE Transactions on Microwave Theory and Techniques.

[6]  W. Cheney,et al.  Numerical analysis: mathematics of scientific computing (2nd ed) , 1991 .

[7]  David R. Jackson,et al.  The relation between creeping waves, leaky waves, and surface waves , 2005 .

[8]  M. I. Aksun.  A robust approach for the derivation of closed-form Green's functions , 1996 .

[9]  Jun Hu,et al.  Accurate evaluation of Green’s functions in a layered medium by SDP-FLAM , 2009, Science in China Series F: Information Sciences.

[10]  Prabhakar H. Pathak,et al.  On the location of proper and improper surface wave poles for the grounded dielectric slab (microstrip antennas) , 1990 .

[11]  R. Paknys,et al.  A technique for approximating the location of surface- and leaky-wave poles for a lossy dielectric slab , 2006, IEEE Transactions on Antennas and Propagation.

[12]  Chi Hou Chan,et al.  Complex image method for sources in bounded regions of multilayer structures , 1994 .

[13]  Henning Braunisch,et al.  Classification of the Proper Propagation-Mode Spectrum and Leaky-Wave Modes on Open Planar Waveguides , 1997 .

[14]  Alejandro Álvarez Melcón,et al.  Green's Functions in Lossy Layered Media: Integration Along the Imaginary Axis and , 2003 .

[15]  Roger F. Harrington,et al.  Field computation by moment methods , 1968 .

[16]  Roger F. Harrington,et al.  On the location of leaky wave poles for a grounded dielectric slab , 1991 .

[17]  K. Michalski,et al.  Multilayered media Green's functions in integral equation formulations , 1997 .

[18]  G. Y. Delisle,et al.  Discrete image theory for horizontal electric dipoles in a multilayered medium , 1988 .

[19]  W. Chew.  Waves and Fields in Inhomogeneous Media , 1990 .

[20]  R. Collin.  Field theory of guided waves , 1960 .

[21]  Alejandro Álvarez Melcón,et al.  Green's functions in lossy layered media: integration along the imaginary axis and asymptotic behavior , 2003 .

[22]  S. Lang.  Complex Analysis , 1977 .

[23]  Leung Tsang,et al.  Fast Computation of Layered Medium Green's Functions of Multilayers and Lossy Media Using Fast All-Modes Method and Numerical Modified Steepest Descent Path Method , 2008, IEEE Transactions on Microwave Theory and Techniques.

[24]  Jian-Ming Jin,et al.  Discrete complex image method for Green's functions of general multilayer media , 2000 .

[25]  R. Paknys,et al.  The relation between creeping waves, leaky waves, and surface waves , 2005, IEEE Transactions on Antennas and Propagation.

[26]  Leung Tsang,et al.  Fast all modes (FAM) method combined with NMSP for evaluating spatial domain layered medium Green's functions of moderate thickness , 2007 .