Analysis of periodic shielded microstrip lines excited by nonperiodic sources through the array scanning method

[1] In this paper we aim at rigorously studying the practical excitation of a shielded microstrip line periodically perturbed by gaps. In particular a delta-gap voltage source is considered in an environment shielded by lateral and top metallic walls. The excitation problem is solved through a numerical implementation of the array scanning method, in which the field excited by a nonperiodic source in a periodic environment is represented as an integral superposition of fields, which are solutions of suitable auxiliary Floquet-periodic problems. To solve the latter, a spectral-domain method-of-moments approach has been adopted, introducing original acceleration techniques to enhance the efficiency and accuracy of the method. The numerical performance of the spectral-domain approach is illustrated and fully validated. Results are presented both for the dispersive properties of Bloch modes supported by the structure in the absence of excitation and for the currents excited on the structure by a single delta-gap source, also discussing the modal representation of such currents in terms of Green's function singularities in the spectral plane of the longitudinal wavenumber.

[1]  R. Mittra,et al.  Computational Methods for Electromagnetics , 1997 .

[2]  A. Press.  Theory of Antenna Radiation , 1920, Proceedings of the Institute of Radio Engineers.

[3]  F. Capolino,et al.  Efficient computation of the 2-D Green's function for 1-D periodic structures using the Ewald method , 2005, IEEE Transactions on Antennas and Propagation.

[4]  R. Hwang,et al.  A Planar Shaped-Beam Antenna for Indoor Wireless LAN Access Points , 2007, IEEE Transactions on Antennas and Propagation.

[5]  F. Mesa,et al.  The danger of high-frequency spurious effects on wide microstrip line , 2002, 2002 IEEE MTT-S International Microwave Symposium Digest (Cat. No.02CH37278).

[6]  M. I. Aksun,et al.  Comparative study of acceleration techniques for integrals and series in electromagnetic problems , 1995, IEEE Antennas and Propagation Society International Symposium. 1995 Digest.

[7]  Magnetic-Type Dyadic Green's Functions for a Corrugated Rectangular Metaguide Based on Asymptotic Boundary Conditions , 2007, IEEE Transactions on Microwave Theory and Techniques.

[8]  Manuel Horno,et al.  Excitation of complex and backward mode on shielded lossless printed lines , 1999 .

[9]  David R. Jackson,et al.  Excitation of leaky modes on multilayer stripline structures , 1998 .

[10]  B. Munk,et al.  Plane-wave expansion for arrays of arbitrarily oriented piecewise linear elements and its application in determining the impedance of a single linear antenna in a lossy half-space , 1979 .

[11]  D. Zelenchuk,et al.  Full-wave analysis of Layered aperture arrays , 2006, IEEE Transactions on Antennas and Propagation.

[12]  F. Capolino,et al.  Comparison of Methods for Calculating the Field Excited by a Dipole Near a 2-D Periodic Material , 2007, IEEE Transactions on Antennas and Propagation.

[13]  R. Collin.  Antenna theory , 1969 .

[14]  S. Maci,et al.  Analysis of dispersion in dipole-FSS loaded hard rectangular waveguide , 2006, IEEE Transactions on Antennas and Propagation.

[15]  P. Wynn,et al.  On a Procrustean technique for the numerical transformation of slowly convergent sequences and series , 1956, Mathematical Proceedings of the Cambridge Philosophical Society.

[16]  F. Capolino,et al.  Fundamental properties of the field at the interface between air and a periodic artificial material excited by a line source , 2005, IEEE Transactions on Antennas and Propagation.

[17]  David R. Jackson,et al.  Spurious radiation from a practical source on a leaky covered microstrip line , 2001, IMS 2001.

[18]  A. A. Oliner,et al.  The spectrum of electromagnetic waves guided by a plasma layer , 1963 .

[19]  Alexander B. Yakovlev,et al.  Operator Theory for Electromagnetics , 2002 .

[20]  I.A. Eshrah,et al.  Rectangular waveguide with dielectric-filled corrugations supporting backward waves , 2005, IEEE Transactions on Microwave Theory and Techniques.

[21]  H. Yang.  Theory of Antenna Radiation from Photonic Band-Gap Materials , 1999 .

[22]  Paolo Baccarelli,et al.  Full-wave analysis of bound and leaky modes propagating along 2d periodic printed structures with arbitrary metallisation in the unit cell , 2007 .

[23]  J. Bernal,et al.  Crosstalk between two microstrip lines excited by a gap voltage source , 2004, IEEE Transactions on Microwave Theory and Techniques.

[24]  E. Yamashita,et al.  Analysis of Microstrip-Like Transmission Lines by Nonuniform Discretization of Integral Equations , 1976 .

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

[26]  P. Baccarelli,et al.  A full-wave numerical approach for modal analysis of 1-D periodic microstrip structures , 2006, IEEE Transactions on Microwave Theory and Techniques.

[27]  B. Munk,et al.  Mutual coupling between parallel columns of periodic slots in a ground plane surrounded by dielectric slabs , 1992 .

[28]  G. Valerio,et al.  Comparative Analysis of Acceleration Techniques for 2-D and 3-D Green's Functions in Periodic Structures Along One and Two Directions , 2007, IEEE Transactions on Antennas and Propagation.