Abstract
An electrodynamic method is proposed for analysis of infinite 1D arrays with random parameters. The approach is based on methods of compensating source and generalized scattering matrix that make it possible to analyze infinite inhomogeneous antenna arrays containing defects of periodic structure (elements with parameters that differ from the parameters of the regular structure). The array is analyzed on the assumption of small deviations of its parameters from mean values. In such an approximation, variances of amplitudes of the waves reflected from the array inputs and variance of incoherent radiation field are estimated. Quasi-periodic excitation of the array is considered. The proposed method is used for analysis of an array consisting of strip dipoles with random lengths. A dependence of the variance of reflection coefficient of the array on its parameters is obtained. A theoretical estimate of the variance coincides with the result of the Monte Carlo analysis that is used to study a finite-length dipole array.
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