Efficient numerical computation of the spectral transverse dyadic Green's function in stratified anisotropic media

Several new ideas are provided for computing the spectral transverse dyadic Green's function (STDGF) of a stratified anisotropic medium in an accurate and efficient way. A modified version of the equivalent boundary method is developed which makes it possible to compute the asymptotic values of the aforementioned STDGF without employing exponential terms. This new technique for the computation of the STDGF of a stratified anisotropic medium has more numerical stability than the other techniques proposed so far, in which the use of exponential terms for the computation of the STDGF in all the range of variation of the spectral variables unavoidably leads to numerical problems for high values of the spectral variables. Also in this paper, it is shown how a two-step interpolation approach can be used for obtaining simple closed-form expressions of the STDGF of a stratified anisotropic medium in wide ranges of the spectral variables. It is expected that the use of this interpolation approach will introduce im...

[1]  J. Tsalamengas,et al.  Interaction of electromagnetic waves with general bianisotropic slabs , 1992 .

[2]  Nicolaos G. Alexopoulos,et al.  Basic blocks for high-frequency interconnects: theory and experiment , 1988 .

[3]  K. Michalski,et al.  Analysis of microstrip resonators of arbitrary shape , 1992 .

[4]  W. Menzel,et al.  On the design of planar microwave components using multilayer structures , 1992 .

[5]  Keijo Nikoskinen,et al.  Application of the Green's function technique in microstrip patch antenna analysis , 1991 .

[6]  David M. Pozar,et al.  Magnetic tuning of a microstrip antenna on a ferrite substrate , 1988 .

[7]  Richard W. Hamming,et al.  Numerical Methods for Scientists and Engineers , 1962 .

[8]  R. W. Jackson,et al.  Coplanar waveguide and slot line on magnetic substrates: analysis and experiment , 1988 .

[9]  Nicolaos G. Alexopoulos,et al.  Radiation characteristics of Hertzian dipole antennas in a nonreciprocal superstrate-substrate structure , 1992 .

[10]  J. S. Nadan,et al.  Surface Electromagnetic Modes of a Ferrite Slab , 1974 .

[11]  David M. Pozar,et al.  Radiation and scattering characteristics of microstrip antennas on normally biased ferrite substrates , 1992 .

[12]  G. E. Howard,et al.  A closed-form spatial Green's function for the thick microstrip substrate , 1991 .

[13]  Nicolaos G. Alexopoulos,et al.  Integrated-Circuit Structures on Anisotropic Substrates , 1985 .

[14]  C. M. Krowne,et al.  Fourier Transformed Matrix Method of Finding Propagation Characteristics of Complex Anisotropic Layered Media , 1984 .

[15]  Raj Mittra,et al.  Derivation of closed-form Green's functions for a general microstrip geometry , 1992 .

[16]  M. Horno,et al.  Application of the spectral domain method for the study of surface slow waves in nonreciprocal planar structures with a multilayered gyroelectric substrate , 1993 .

[17]  D. Pozar.  Radiation and scattering from a microstrip patch on a uniaxial substrate , 1987 .

[18]  D. Pozar.  Input impedance and mutual coupling of rectangular microstrip antennas , 1982 .

[19]  T. Itoh.  Numerical techniques for microwave and millimeter-wave passive structures , 1989 .

[20]  Nicolaos G. Alexopoulos,et al.  Basic Properties of Microstrip Circuit Elements on Nonreciprocal Substrate-Superstrate Structures , 1991 .

[21]  M. Horno,et al.  An efficient numerical spectral domain method to analyze a large class of nonreciprocal planar transmission lines , 1992 .

[22]  J. Willis,et al.  The reflection of electromagnetic waves from stratified anisotropic media , 1991 .

[23]  D. Bolle.  Utilisation of surface magnetoplasmons in the millimetre wavelength range , 1993 .

[24]  M. A. Morgan,et al.  Electromagnetic scattering by stratified inhomogeneous anisotropic media , 1987 .

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

[26]  N. Alexopoulos,et al.  Surface wave modes of printed circuits on ferrite substrates , 1992 .

[27]  Nicolaos G. Alexopoulos,et al.  Multifunctional and Low RCS Nonreciprocal Microstrip Antennas , 1992 .

[28]  R. W. Jackson,et al.  Full-wave analysis of an infinitely long magnetic surface wave transducer , 1990 .

[29]  D. Pozar,et al.  Design of wideband circularly polarized aperture-coupled microstrip antennas , 1993 .

[30]  C. M. Krowne,et al.  Fourier Transformed Finding Propagation Matrix Method of Characteristics of Complex Anisotropic Layered Media . , 1984 .

[31]  J. Tsalamengas,et al.  Electromagnetic fields of elementary dipole antennas embedded in stratified general gyrotropic media , 1989 .

[32]  Manuel Horno,et al.  A general algorithm for computing the bidimensional spectral Green's dyad in multilayered complex bianisotropic media: the equivalent boundary method , 1991 .