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  • Title: Fast quasi-null-filling of radiation patterns for multiple solutions generation.
    Author: López-Álvarez C, López-Martín ME, Rodríguez-González JA, Ares-Pena FJ.
    Journal: Sci Rep; 2024 Feb 16; 14(1):3885. PubMed ID: 38365948.
    Abstract:
    Here we present an improved, rapid method for filling quasi-nulls in symmetrical radiation patterns synthesized by equispaced linear arrays, leading to the generation of multiple solutions. Considering the polynomial representation of the pattern, this null-filling is achieved by displacing the roots radially off the unit circle, keeping a constant displacement. This allows analyzing how the potential solutions vary with the quasi-uniform filling and the associated directivity loss. This method is based on the Cardano-Vieta relations, which link the coefficients of a complex Schelkunoff polynomial with its roots. As examples of application, we have considered a 20/100 element Dolph-Chebyshev pattern, with a spacing between the elements [Formula: see text], side lobe level of - 20/- 28 dB and three inner sidelobes at - 40/- 50 dB.
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