Title :
Derivation of closed-form Green´s functions for a general microstrip geometry
Author :
Aksun, M. Irsadi ; Mittra, Raj
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
fDate :
11/1/1992 12:00:00 AM
Abstract :
The derivation of the closed-form spatial domain Green´s functions for the vector and scalar potentials is presented for a microstrip geometry with a substrate and a superstrate, whose thicknesses can be arbitrary. The spatial domain Green´s functions for printed circuits are typically expressed as Sommerfeld integrals, which are inverse Hankel transforms of the corresponding spectral domain Green´s functions and are time-consuming to evaluate. Closed-form representations of these Green´s functions in the spatial domains can only be obtained if the integrands are approximated by a linear combination of functions that are analytically integrable. This is accomplished here by approximating the spectral domain Green´s functions in terms of complex exponentials by using the least square Prony´s method
Keywords :
Green´s function methods; microstrip lines; spectral-domain analysis; waveguide theory; closed-form Green´s functions; complex exponentials; least square Prony´s method; microstrip geometry; scalar potentials; spatial domain; spectral domain; substrate; superstrate; Closed-form solution; Geometry; Green´s function methods; Laboratories; Least squares approximation; Linear approximation; Message-oriented middleware; Microstrip antennas; Moment methods; Printed circuits;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on