Analysis of transmission lines of finite thickness above a periodically perforated ground plane at oblique orientations

• Published in: IEEE transactions on microwave theory and techniques Vol. 43; no. 2; pp. 383 - 393
• Main Authors: Guangwen Pan, Xiaojun Zhu, Gilbert, B.K.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-02-1995; Institute of Electrical and Electronics Engineers
• Subjects: Analog circuits; Applied sciences; Circuit properties; Electric, optical and optoelectronic circuits; Electronic circuits; Electronics; Exact sciences and technology; Fourier transforms; Green's function methods; Integral equations; Magnetic analysis; Magnetic fields; Moment methods; Power transmission lines; Signal analysis; Transmission line theory; Transmission lines; Ground plane; Characteristic impedance; Perforation; Grid; Modeling; Field equation; Electric field; Transmission line; Analysis method; Size effect; Equation resolution; Periodic configuration; Propagation constant; Magnetic field; Geometrical factor
• ISSN: 0018-9480; 1557-9670
• DOI: 10.1109/22.348099

A general method is formulated for the analysis of signal lines of finite thickness in the presence of a periodically perforated ground plane. Utilizing the dyadic Green's functions, a set of electric and magnetic field integral equations (EFIE, MFIE) is established, which are then transformed into the spectral domain by the Fourier transform. Galerkin's method is used to solve the combined integral equations. The B-spline functions are chosen as basis functions to achieve a higher order of convergence. The dispersive characteristics of the transmission lines are studied and the characteristic impedance of the signal lines are evaluated by both the voltage-current definition and the power-current definition, with good consistency. The effect of signal locations versus apertures in the ground plane is discussed. Finally, measurements are conducted, and the results agreed very well with the theory.< >