Truncated Floquet wave full-wave (T(FW)/sup 2/) analysis of large periodic arrays of rectangular waveguides

A new hybrid technique has been recently proposed for the analysis of large periodic arrays. This method is based on a high-frequency representation of the active Green's function of a finite array, involving a Floquet wave (FW) expansion with the relevant edge and vertex diffracted ray fields originating at the array border. Using this representation, the unknown current of an appropriate fringe integral equation is expanded in terms of a few basis functions shaped as FW-induced diffracted rays. This representation drastically reduces the numerical effort and provides a physical insight into the mechanism of the array truncation. In this paper, this method is applied to the analysis of large arrays of rectangular waveguides opened on an infinite ground plane. Numerical results are shown to demonstrate the effectiveness and the numerical efficiency of the method.

[1]  Paolo Nepa,et al.  A hybrid uniform geometrical theory of diffraction–moment method for efficient analysis of electromagnetic radiation/scattering from large finite planar arrays , 2000 .

[2]  Giuseppe Vecchi,et al.  A truncated Floquet wave diffraction method for the full-wave analysis of large phased arrays .II. Generalization to 3-D cases , 2000 .

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

[4]  E. Michielssen,et al.  A multilevel matrix decomposition algorithm for analyzing scattering from large structures , 1996 .

[5]  Stefano Maci,et al.  Frequency-domain Green's function for a planar periodic semi-infinite phased array. II. Diffracted wave phenomenology , 2000 .

[6]  V. Rokhlin,et al.  The fast multipole method (FMM) for electromagnetic scattering problems , 1992 .

[7]  Anja K. Skrivervik,et al.  Analysis of printed array antennas , 1997 .

[8]  N. Amitay,et al.  Theory and analysis of phased array antennas , 1972 .

[9]  Stefano Maci,et al.  Frequency-domain Green's function for a planar periodic semi-infinite phased array .I. Truncated floquet wave formulation , 2000 .

[10]  Mutual Coupling Analysis in a Finite Planar Rectangular Waveguide Antenna Array. , 1978 .

[11]  Paola Pirinoli,et al.  Multiresolution analysis of printed antennas and circuits: a dual-isoscalar approach , 2001 .

[12]  J. Mosig,et al.  Finite phased array of microstrip patch antennas: the infinite array approach , 1992 .

[13]  Giuseppe Vecchi,et al.  A truncated Floquet wave diffraction method for the full wave analysis of large phased arrays. I. Basic principles and 2-D cases , 2000 .

[14]  B. Munk,et al.  Matching properties of arbitrarily large dielectric covered phased arrays , 1983 .

[15]  Akira Ishimaru,et al.  Finite periodic structure approach to large scanning array problems , 1984 .

[16]  R. Mittra,et al.  Techniques for analyzing frequency selective surfaces-a review , 1988, Proc. IEEE.

[17]  R. Kouyoumjian,et al.  A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface , 1974 .

[18]  B. L. Diamond.  A generalized approach to the analysis of infinite planar array antennas , 1968 .

[19]  Stefano Maci,et al.  Truncated Floquet wave full-wave analysis of large phased arrays of open-ended waveguides with a nonuniform amplitude excitation , 2003 .

[20]  Asymptotic high‐frequency Green's function for a planar phased sectoral array of dipoles , 2000 .