Derivation of excitation coefficients for Chebyshev arrays

Drane, Charles J.

doi:10.1049/piee.1963.0248

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Dolph -Chebyshev Superdirectivity1

Spacing Less Than Half-wave1

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2009

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Cited by 5 publications

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“…Formulas have been developed by DuHamel (1953), Brown (1957Brown ( , 1962, Salzer (1975), and Drane (1963Drane ( , 1964. Those of Drane will be used here as they are suitable 1 The exact starting point depends on N and kd.…”

Section: Dolph -Chebyshev Superdirectivitymentioning

confidence: 99%

Superdirective Arrays

2009

Phased Array Antennas

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Section: Dolph -Chebyshev Superdirectivitymentioning

confidence: 99%

Superdirective Arrays

2009

Phased Array Antennas

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“…Formulas have been developed by many, including DuHamel (1953), Brown (1957Brown ( , 1962, Drane (1963Drane ( , 1964, and Salzer (1975). The formulas of Drane are suitable for computer calculation of superdirective arrays (see Chapter 9) and thus are used here.…”

Section: Spacing Less Than Half-wavementioning

confidence: 99%

Linear Array Pattern Synthesis

Hansen

2009

Phased Array Antennas

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An exact formulation for the synthesis of broadside Chebyshev arrays of 2N elements with interelement spacingd < λ/2

McNamara¹

2006

Microw. Opt. Technol. Lett.

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The original formulation for the synthesis of Chebyshev arrays is applicable to the case of an even or odd number of elements for interelement spacing d ≥ λ/2, where λ is the wavelength. The restriction on d is to ensure that the transformation needed for the polynomial/array factor correspondence provides a radiation pattern that is indeed optimal in the sense of supplying the minimum first‐null beamwidth for the given number of elements and specified sidelobe level. This same transformation does not guarantee optimality if d < λ/2. Subsequent formulations show how the transformation must be altered to reclaim optimality if d < λ/2, but only for an odd number of elements. In this paper, we show how the formulation may be broadened to provide a means of synthesizing such optimal arrays for an even number of elements when d < λ/2. © 2006 Wiley Periodicals, Inc. Microwave Opt Technol Lett 48: 457–463, 2006; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21378

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Derivation of excitation coefficients for Chebyshev arrays

Cited by 5 publications

References 0 publications

Superdirective Arrays

Superdirective Arrays

Linear Array Pattern Synthesis

An exact formulation for the synthesis of broadside Chebyshev arrays of 2N elements with interelement spacingd < λ/2

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