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US3877033A Expired / Lapsed US ⏱️ 0.0 years remaining

Nonuniformly optimally spaced array with uniform amplitudes

Assignee: Individual
•
Filing: 1973-08-15
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Granted: 1975-04-08
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Expires: 1993-08-15
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Abstract

Abstract The object of this invention is to provide a method for a new nonuniformly spaced array with uniform amplitudes for sonar, seismic and electromagnetic applications, where the optimum positions of the array elements along its axis are systematically determined by a new semi-rigorous synthesis technique. This new array will give a radiation pattern with much lower side-lobe levels than an equivalent uniformly spaced array with uniform amplitudes, and its optimal relationship between the side-lobe level and the beamwidth is similar or better than in the DolphTchebysheff equivalent uniformly spaced array with tapered amplitudes. This method is based on the present invention by which the radiation pattern of a symmetric nonuniformly spaced array with uniform amplitudes and even number of elements can be expressed rigorously by a multiplication (product) of a set of cosines, whose arguments depend on the positions of the elements of the array. This new expression displays explicitly the zeros (nulls) of the nonuniformly spaced array radiation pattern and is especially suitable for an array with a large number of elements. This new array will be designated the Nonuniformly Optimally Spaced Array with Uniform Amplitudes, or in short, the NOSA-UA array.

Inventors

  • 👤 Hillel Unz

Bibliographic Details

Application Number —
Jurisdiction US
Data Source google_patents
Last Synchronized 2026-10-24 19:25
CPC Classifications
G; G01; G01S; G01S7/00; G01S7/52; G01S7/52003; H; H01; H01Q; H01Q21/00; H01Q21/06; H01Q21/22; Y; Y10; Y10S; Y10S367/00; Y10S367/905

Claims Analysis

Total Claims: 7
Claim 1
Independent Claim 72 words
A method of synthesis for controlling the radiation pattern of a symmetric nonuniformly spaced array with uniform amplitudes and even number of elements, said method based on the following rigorous relationship which expresses the array radiation pattern F(u) by a multiplication (product) of a set of cosines, whose arguments depend on the positions of the elements of the array, where the zeros (nulls) of the array radiation pattern F(u) are displayed explicitly:
Claim 2
Independent Claim 72 words
A method of synthesis for controlling the radiation pattern of a symmetric nonuniformly spaced array with uniform amplitudes and even number of elements, said method based on the following rigorous relationship which expresses the array radiation pattern F(u) by a multiplication (product) of a set of cosines, whose arguments depend on the positions of the elements of the array, where the zeros (nulls) of the array radiation pattern F(u) are displayed explicitly:
Claim 3
Dependent Claim 131 words
A method of synthesis for controlling the side-lobe level and/or the beamwidth of the directive radiation pattern F(u) of a symmetric nonuniformly spaced array with uniform amplitudes and even number of elements, said method based on specifying the set of the actual first zeros (nulls) .sub.q.sup.(1)actual of the array radiation pattern F(u) given in claim 1, and calculating the set of the non-dimensional parameters .beta..sub.q = 90.degree./u.sub.q.sup.(1)actual and the optimum positions x.sub.p of the array elements as in claim 1, where the determination of the specified actual first zeros (nulls) u.sub.q.sup.(1)actual will be done by a semi-rigorous trial-and-error approach of calculating the radiation pattern F(u) for several cases, and will depend on the phased array scanning angle requirement and the other specified parameters of the array and the array radiation pattern.
Claim 4
Dependent Claim 44 words
An arrangement of a set of elements in a nonuniformly optimally spaced array with uniform amplitudes, as specified in claim 1, in which each element is an acoustic or sonar radiator or receiver, or a combination of them, used under water or above water.
Claim 5
Dependent Claim 47 words
An arrangement of a set of elements in a nonuniformly optimally spaced array with uniform amplitudes, as specified in claim 1, in which each element is a seismic radiator or receiver, like geophone, seismometer, seismograph, etc., or a combination of them, used under ground or above ground.
Claim 6
Dependent Claim 46 words
An arrangement of a set of elements in a nonuniformly optimally spaced array with uniform amplitudes, as specified in claim 1, in which each element is an electromagnetic antenna radiator or receiver, like dipole, slot, horn, aperture, dish, parabolic reflector, etc., or a combination of them.
Claim 7
Dependent Claim 19 words
An array comprising a grouping of sub-arrays, each designed in accordance with the method set out in claim 1.

References Cited (Backward Citations)

US2906363A Cited

USPTO Annuity & Maintenance Windows

Annuity Stage Window Opens Payment Deadline Surcharge Period Until Estimated Fee Status
3.5 Years (Year 4) 1978-04-07 1978-10-07 1979-04-08 $2000.00 Window Closed / Lapsed
7.5 Years (Year 8) 1982-04-07 1982-10-07 1983-04-08 $3760.00 Window Closed / Lapsed
11.5 Years (Year 12) 1986-04-07 1986-10-07 1987-04-08 $7700.00 Window Closed / Lapsed

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