Shaped Beam Synthesis of Antenna Arrays Formed of Fractal Sub-Array Lattices

Abstract

In This paper, a design of half-wave dipole antenna array in planar fractal arrangements are introduced. The dipole array elements are positioned at the tip points of Koch fractal curve. The proposed arrangement introduces a compact design of the fractal array with low mutual coupling and no grating lobes. The method of moments (MoM) and the wavelet packet transform (WPT) are used for efficient analysis of different antenna arrays. Different array geometries with single, dual, four Koch fractal curves are designed. The MoM/DWT reduces the non-zero elements in the matrix with compression ratio of 80 % which reduces the matrix inversion computational time to 0.0103 Sec. The PSO estimate the voltage phase shift excitations of the dipole elements along the single arm Koch fractal. The radiation patterns of single ring and nested-ring Koch fractal curves are investigated.