TY - JOUR

T1 - Compact Expression for the Directivity of Binomial Array With No Restriction in Element Spacing

AU - Jangi Golezani, Javad

AU - Paker, Selçuk

AU - Balanis, Constantine

PY - 2017

Y1 - 2017

N2 - An attractive approach to design antenna arrays with minimum sidelobe level is based on the binomial expansion, and they are referred to as binomial arrays. In fact, binomial arrays with element spacing equal or less than λ/2 have no minor lobes. However, there are no compact expressions available to obtain the directivity of binomial arrays with no restriction in the element spacing, except when the element spacing is λ/2. This letter proposes a compact expression for the directivity of the binomial array with no restriction in the element spacing and number of elements. The procedure is based on the properties of the Pascal's triangle. Then, the array factor and directivity of the binomial array are calculated by using the properties of the Fourier transform.

AB - An attractive approach to design antenna arrays with minimum sidelobe level is based on the binomial expansion, and they are referred to as binomial arrays. In fact, binomial arrays with element spacing equal or less than λ/2 have no minor lobes. However, there are no compact expressions available to obtain the directivity of binomial arrays with no restriction in the element spacing, except when the element spacing is λ/2. This letter proposes a compact expression for the directivity of the binomial array with no restriction in the element spacing and number of elements. The procedure is based on the properties of the Pascal's triangle. Then, the array factor and directivity of the binomial array are calculated by using the properties of the Fourier transform.

KW - Array factor

KW - arrays

KW - binomial array

KW - directivity

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U2 - 10.1109/LAWP.2016.2595107

DO - 10.1109/LAWP.2016.2595107

M3 - Article

AN - SCOPUS:85018471118

VL - 16

SP - 653

EP - 656

JO - IEEE Antennas and Wireless Propagation Letters

JF - IEEE Antennas and Wireless Propagation Letters

SN - 1536-1225

M1 - 7523980

ER -