Pulsed radiation by a phased semi-infinite periodic planar array of dipoles

Filippo Capolino, L. Felsen
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Abstract

To gain an understanding of the sparsely explored time domain (TD) behavior of periodic arrays of radiating or scattering elements (phased array antennas, frequency selective surfaces and related applications), we have initiated a systematic investigation of relevant canonical TD dipole-excited Green's functions (GF), which so far include those for infinite and truncated line periodic arrays, as well as for infinite planar periodic arrays. Such Green's functions have been parameterized in terms of TD-Floquet waves (FW) of cylindrical and planar type, and truncation-induced TD-FW-modulated diffractions. Such waves on semi-infinite and finite square arrays of dipoles have been investigated in the frequency domain (FD), and shown to be useful in practical array applications. The present contribution extends our TD studies to an infinite periodic sequentially pulsed semi-infinite planar array. The phenomenology associated with truncated TD-FW and truncation-induced diffraction is explained in terms of instantaneous frequencies aided by asymptotic parameterization. Preliminary numerical results demonstrate the efficiency of the TD-FW algorithms.
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偶极子相控半无限周期平面阵列的脉冲辐射
为了了解辐射或散射元素周期阵列(相控阵天线,频率选择表面和相关应用)的稀疏探索时域(TD)行为,我们启动了相关规范TD偶极激发格林函数(GF)的系统研究,迄今为止包括无限和截断线周期阵列以及无限平面周期阵列。这些格林函数已经被参数化为圆柱型和平面型的TD-Floquet波(FW),以及截断诱导的td -FW调制衍射。偶极子的半无限方阵和有限方阵上的这种波已经在频域(FD)上进行了研究,并显示出在实际阵列应用中是有用的。目前的贡献将我们的TD研究扩展到无限周期顺序脉冲半无限平面阵列。在渐近参数化的辅助下,用瞬时频率解释了截断TD-FW和截断诱导衍射的现象。初步的数值结果证明了TD-FW算法的有效性。
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