An exact formulation for the synthesis of broadside Chebyshev arrays of 2N elements with interelement spacing d < λ/2
✍ Scribed by Derek A. McNamara
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 141 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0895-2477
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✦ Synopsis
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 Ն /2, where 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 Ͻ /2. Subsequent formulations show how the transformation must be altered to reclaim optimality if d Ͻ /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 Ͻ /2.