Optimum Patterns for Endfire Arrays

DuHamel, R.

doi:10.1109/jrproc.1953.274409

Cited by 44 publications

(11 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…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%

See 1 more Smart Citation

Superdirective Arrays

2009

Phased Array Antennas

View full text Add to dashboard Cite

Section: Dolph -Chebyshev Superdirectivitymentioning

confidence: 99%

“…It is not known whether this is due to computing errors or to the small size of the aperture in wavelengths. DuHamel (1953) extended the Chebyshev design principle to endfire arrays, but only for d , l/2. To avoid a back lobe, spacing is customarily made l/4.…”

Section: Constrained Optimizationmentioning

confidence: 99%

Superdirective Arrays

2009

Phased Array Antennas

View full text Add to dashboard Cite

“…It was written in a more general form by Pritchard [9] and Du-Hamel [10], and is also available in [8, pp. 57-58].…”

Section: Review Of the Fundamentals Of Chebyshev Synthesis Of Arraysmentioning

confidence: 99%

“…As cautioned in [3][4][5][6][7][8], this transformation does not guarantee optimality if d Ͻ / 2. Subsequent formulations [2,9,10] have shown how the transformation must be altered to reclaim optimality when d Ͻ / 2, but only for arrays of 2N ϩ 1 elements. In this paper, we describe a means of synthesizing such optimal arrays when there are 2N elements and d Ͻ / 2.…”

Section: Introductionmentioning

confidence: 99%

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

McNamara¹

2006

Microw. Opt. Technol. Lett.

View full text Add to dashboard Cite

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

show abstract

“…In s ummary, differe nt types of math e matical formulations have bee n us ed by differe nt investigators for differe nt arrays, d epe nding on whether the array is broadside or endfire, whe ther th e total numb er of ele ments in the array is odd or e ve n, and wh e the r th e element s pacing is greater or less than one·half wavelength [Dolph, 1946;Rible t, 1947;DuHamel, 1953 ;Pritc hard , 1955]. A unifi ed approach co vering all th ese cases wa's des c ribed b y Ma and Cheng [1961a].…”

Section: Introductionmentioning

confidence: 99%

Directivity of uniformly spaced optimum endfire arrays with equal sidelobes

Ma¹

1965

J. RES. NATL. BUR. STAN. SECT. D. RAD. SCI.

View full text Add to dashboard Cite

A mathe mati cal formulation is devised for a uniformly spaced and uniformly progressively phased antenna array of a given number of isotropi c ele ments such that the final radiation pattern is end fire with no large bac klobe. The pallern also has the maximum numb er of sid elobes of equal le vel, modifying the result of an earlier pape r, eve n wh e n th e ele me nt spacing is made arbitrarily small. The directiv e gain, the fir st null beamwidth, the half·pow er beamwidth, th e current exc itations, and th e required phases for s uc h an array are given in c urves as a fun ction of the ele me nt spacin g. It is shown that the li miting radiation c haracte ri sti cs wh e n th e ele me nt spacing approaches zero can also be de te rmin ed in a relatively simple mann e r.

show abstract

Optimum Patterns for Endfire Arrays

Cited by 44 publications

References 6 publications

Superdirective Arrays

Superdirective Arrays

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

Directivity of uniformly spaced optimum endfire arrays with equal sidelobes

Contact Info

Product

Resources

About