On sampling continuous aperture distributions for discrete planar arrays

The theory of sampling continuous distributions for the purpose of determining planar array excitation coefficients is examined. The cause of pattern degradation associated with conventional sampling is identified, and a new method called integrated sampling is introduced which provides superior results. Implementation details are given for the specific case of a rectangular grid planar array with a roughly circular boundary. Numerical examples are provided for both uniform and Taylor distributions in order to perform comparative studies and to demonstrate the advantages of the new technique.

[1]  G. J. Stern,et al.  Shaped patterns from a continuous planar aperture distribution , 1988 .

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

[3]  T. Taylor,et al.  Design of circular apertures for narrow beamwidth and low sidelobes , 1960 .

[4]  G. J. Stern,et al.  Footprint patterns obtained by planar arrays , 1990 .

[5]  T. Taylor Design of line-source antennas for narrow beamwidth and low side lobes , 1955 .

[6]  A. Villeneuve,et al.  Taylor patterns for discrete arrays , 1984 .

[7]  Robert S. Elliott,et al.  Design of circular apertures for narrow beamwidth and asymmetric low sidelobes , 1975 .

[8]  A. Ludwig,et al.  Low sidelobe aperture distributions for blocked and unblocked circular apertures , 1982 .

[9]  Yuen Lo,et al.  Antenna pattern synthesis based on optimization in a probabilistic sense , 1975 .

[10]  D. E. Chesley Design of a low sidelobe double difference beam for a circular aperture , 1992 .

[11]  Synthesis of rectangular planar arrays for sum patterns with ring side lobes of arbitrary topography , 1977 .

[12]  Yahya Rahmat-Samii,et al.  A generalized three-parameter (3-P) aperture distribution for antenna applications , 1992 .

[13]  E. Moreno,et al.  Design of planar arrays to obtain efficient footprint patterns with an arbitrary footprint boundary , 1994 .

[14]  Robert S. Elliott,et al.  On discretizing continuous aperture distributions , 1977 .

[15]  H. Hsuan,et al.  An equivalence theory between elliptical and circular arrays , 1964 .

[16]  S. Autrey,et al.  Approximate synthesis of nonseparable design responses for rectangular arrays , 1987 .

[17]  E. Bayliss Design of monopulse antenna difference patterns with low sidelobes , 1968 .

[18]  David K. Cheng,et al.  Optimum scannable planar arrays with an invariant sidelobe level , 1968 .