THE SYNTHESIS OF COMPLEX-ANGLE ZEROS FOR ON-BOARD ANTENNA ARRAYS

Shelkunoff circle synthesis techniques are only effective for equispaced antenna arrays. These techniques are based on reorganizing the zeros on the Shelkunoff circle. We propose a technique based on locating complex-direction zeros to synthesize arbitrary on-board antenna arrays. It is based on the analytical continuation of Green’s functions and on a new representation of the complex plane (analogous to the Shelkunoff circle).

[1]  Tom Milligan Synthesis of Onboard Array Antennas Including Interaction with the Mounting Platform and Mutual Coupling Effects , 2001 .

[2]  E. Moreno,et al.  Sythesis of Satellite Footprints By Perturbation of Woodward-Lawson Solutions for Planar Array Antennas , 2000 .

[3]  F. Ares-Pena A note on the limitations of Orchard's method , 2002 .

[5]  P. Woodward,et al.  The Theoretical Precision with which an Arbitrary Radiation-Pattern may be Obtained from a Source of Finite Size , 1948 .

[6]  H. Steyskal Synthesis of antenna patterns with imposed near-field nulls , 1994 .

[7]  F. Ares,et al.  Pattern synthesis of array antennas with arbitrary elements by simulated annealing and adaptive array theory , 1999 .

[8]  G. K. Mahanti,et al.  Phase-Only and Amplitude-Phase Only Synthesis of Dual-Beam Pattern Linear Antenna Arrays Using Floating-Point Genetic Algorithms , 2007 .

[9]  Luis Landesa,et al.  Design of on‐board array antennas by pattern optimization , 1999 .

[10]  Moctar Mouhamadou,et al.  SMART ANTENNA ARRAY PATTERNS SYNTHESIS: NULL STEERING AND MULTI-USER BEAMFORMING BY PHASE CONTROL , 2006 .

[11]  Luis Landesa,et al.  Pattern synthesis of array antennas in presence of dielectric bodies , 1999 .

[12]  S. Schelkunoff A mathematical theory of linear arrays , 1943 .

[13]  Francisco J. Ares-Pena,et al.  Antenna array pattern synthesis in the presence of near-zone scatterers : Three-dimensional vector case , 1999 .

[14]  Hao Ling,et al.  Array beamforming in the presence of a mounting tower using genetic algorithms , 2005, IEEE Transactions on Antennas and Propagation.

[15]  Hao Ling,et al.  Array beamforming in the presence of a mounting tower using genetic algorithms , 2005 .

[16]  E. Moreno,et al.  Application of genetic algorithms and simulated annealing technique in optimising the aperture distributions of antenna array patterns , 1996 .

[17]  Y. Zhang,et al.  Array Pattern Synthesis Based on Weighted Biorthogonal Modes , 2006 .

[18]  Ashutosh Kedar,et al.  Wide band low profile linear microstrip antenna array with cosecant square‐shaped beam pattern , 2007 .

[19]  R. G. Ayestaran,et al.  Non Uniform-Antenna Array Synthesis Using Neural Networks , 2007 .

[20]  G. D'Elia,et al.  Global Optimization and Antenna Synthesis and Diagnosis, Part Two: Applications to Advanced Reflector Antennas Synthesis and Diagnosis Techniques , 2006 .

[21]  R. Vescovo,et al.  Beam Scanning with Null and Excitation Constraints for Linear Arrays of Antennas , 2007 .

[22]  M. Dessouky,et al.  EFFICIENT SIDELOBE REDUCTION TECHNIQUE FOR SMALL-SIZED CONCENTRIC CIRCULAR ARRAYS , 2006 .

[23]  R. Elliott,et al.  Optimising the synthesis of shaped beam antenna patterns , 1985 .

[24]  G. K. Mahanti,et al.  PHASE-ONLY AND AMPLITUDE-PHASE SYNTHESIS OF DUAL-PATTERN LINEAR ANTENNA ARRAYS USING FLOATING-POINT GENETIC ALGORITHMS , 2007 .

[25]  F. Ares,et al.  Pattern synthesis of array antennas with additional isolation of near field arbitrary objects , 1998 .

[26]  Giuseppe D'Elia,et al.  GLOBAL OPTIMIZATION AND ANTENNAS SYNTHESIS AND DIAGNOSIS, PART ONE: CONCEPTS, TOOLS, STRATEGIES AND PERFORMANCES , 2006 .