Planar antenna array and article of manufacture using same
First Claim
Patent Images
1. A planar antenna array comprising:
- a substrate; and
a plurality of close-packed antenna elements numbering N where N is selected from the group consisting of 1 and 3x, x being a positive integer, the plurality of close-packed antenna elements being disposed on the substrate, each of the plurality of close-packed antenna elements including a substantially continuous photonic transducer arranged as an outwardly expanding generally logarithmic spiral having six turns,wherein each of the outwardly expanding generally logarithmic spirals is described according to the following polar equation;
r=aebθ
with e being the base of natural logarithms, a being an arbitrary positive real constant, and b a number relative to the relationship that when θ
is a turn, direction b satisfies the equation ebθ
right/left=φ
.
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Abstract
A planar antenna array and articles of manufacture using the same are disclosed. In one embodiment, close-packed antenna elements, disposed on a substrate, number N where N=3x and x is a positive integer. Each of the close-packed antenna elements includes a substantially continuous photonic transducer arranged as an outwardly expanding generally logarithmic spiral having six turns. Each of the outwardly expanding generally logarithmic spirals may be a golden spiral. As an article of manufacture, the planar antenna array may be incorporated into a chip, such as a cell phone, or an article of clothing, for example.
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Citations
20 Claims
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1. A planar antenna array comprising:
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a substrate; and a plurality of close-packed antenna elements numbering N where N is selected from the group consisting of 1 and 3x, x being a positive integer, the plurality of close-packed antenna elements being disposed on the substrate, each of the plurality of close-packed antenna elements including a substantially continuous photonic transducer arranged as an outwardly expanding generally logarithmic spiral having six turns, wherein each of the outwardly expanding generally logarithmic spirals is described according to the following polar equation;
r=aebθwith e being the base of natural logarithms, a being an arbitrary positive real constant, and b a number relative to the relationship that when θ
is a turn, direction b satisfies the equation ebθ
right/left=φ
. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. An article of manufacture comprising:
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a substrate; a first layer superposed on the substrate and affixed thereto; a second layer disposed beneath the substrate and affixed thereto; and a plurality of close-packed antenna elements numbering N where N is selected from the group consisting of 1 and 3x, x being a positive integer, the plurality of close-packed antenna elements being disposed on the substrate, each of the plurality of close-packed antenna elements including a substantially continuous photonic transducer arranged as an outwardly expanding generally logarithmic spiral having six turns, wherein each of the outwardly expanding generally logarithmic spirals is described according to the following polar equation;
r=aebθwith e being the base of natural logarithms, a being an arbitrary positive real constant, and b a number relative to the relationship that when θ
is a turn, direction b satisfies the equation ebθ
right/left=φ
. - View Dependent Claims (12, 13, 14)
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15. A planar antenna array comprising:
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a substrate; and a first grouping of six close-packed antenna elements, the first grouping of close-packed antenna elements being disposed on the substrate, each of the six close-packed antenna elements including a substantially continuous photonic transducer arranged as an outwardly expanding generally logarithmic spiral having six turns; a second grouping of six close-packed antenna elements disposed adjacent to the first grouping, the second grouping of close-packed antenna elements being disposed on the substrate, each of the six close-packed antenna elements including a substantially continuous photonic transducer arranged as an outwardly expanding generally logarithmic spiral having six turns, wherein each of the outwardly expanding generally logarithmic spirals of the first and second groupings is described according to the following polar equation;
r=aebθwith e being the base of natural logarithms, a being an arbitrary positive real constant, and b a number relative to the relationship that when θ
is a turn, direction b satisfies the equation ebθ
right/left=φ
. - View Dependent Claims (16, 17, 18, 19, 20)
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Specification