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Phased array including a logarithmic spiral lattice of uniformly spaced radiating and receiving elements

  • US 6,433,754 B1
  • Filed: 05/23/2001
  • Issued: 08/13/2002
  • Est. Priority Date: 06/20/2000
  • Status: Expired due to Term
First Claim
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1. A sparse phased array antenna, comprising:

  • a plurality of antenna elements arranged in a lattice of an outwardly expanding generally logarithmic spiral, wherein the antenna elements are arranged so as to have no translational periodicity for eliminating grating lobes while maintaining a uniform density so that unit cells of substantially the same size per radiating element are formed, wherein each of said unit cells include an area of space around the respective antenna element within which all points therein are closer to said respective antenna elements than to any other antenna element of said plurality of antenna elements; and

    , wherein the antenna elements are generally arranged according to the polar equations r=dπ



    n
    ,and





    θ

    =2





    π







    τ







    n
    ,n=1,





    ,N,
    embedded imagewhere n is the number of elements, d is the equivalent one-dimensional linear spacing in wavelengths between one antenna element to another, and τ

    is the golden ratio τ

    =1+52

    1.618.
    embedded image

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