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Analysis of error of physical modeling of multielement PAA by a finite radiating fragment


V. M. Gavrilov – Ph.D. (Eng.), Associate Professor, Professor of Department of Radio Engineering and Radio Systems, Vladimir State University n.a. Alexander and Nikolay Stoletovs D. S. Smirnov – Engineer of Department of Radio Engineering, “Krona”. E-mail:

For arrays of plane waveguides of different configuration the errors of physical modeling of characteristics of phased antenna arrays (PAA) by a finite fragment, conditioned by the finite number of radiators have been analyzed. The results lead to the following conclusion. For simple configuration of antenna arrays which do not include the dielectric elements one can consider as the optimal fragment of PAA, which includes 10 emitters along one coordinate. With using of asymptotic ratios one can extrapolate a matrix of mutual coupling coefficients (MCC) measured on a fragment to a multi-element phased array. Moreover, for a 100-element PAA the error of the reconstructed dependence of the reflection coefficient on the angle of phasing {Γ(ψ)}, including features specific to scanning in the E-plane, in the given examples did not exceed 0,027 in magnitude and 1,63° in phase. For the arrays of complex configuration (with a dielectric screen or inserts), to describe a qualitative description of {Γ(ψ)} subject to the PAA complex configuration features, it is possible to restrict the use of a fragment of PAA with the number of radiators along one coordinate equal to 20. In this case, as follows from the given examples, the maximum error {Γ(ψ)} is in the range 0,033...0,062 in magnitude and 5,56°...356,49° in phase. Application of asymptotic laws can significantly reduce the maximum error, which when extrapolated 50 MCC into 100-element antenna array, was 0,024...0,043 in magnitude and 0,34°...0,95° in phase. Due to the complex nature of dependence of the MCC for closely spaced radiators using of asymptotic relations for the elements of the matrix of MCC in this case is effective for a PAA fragment with the number of radiators along one coordinate of 50


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