Abstract
According to the uniqueness theorem, the far fleld radiation pattern of radiators such as antennas can be determined from the measured tangential electric or magnetic fleld components over an arbitrary Huygens' surface enclosing the radiator. In this paper, a method using the spherical electric fleld measurement is developed to calculate the far fleld radiation. Following the Schelkunofi's fleld equivalence principle, a spherical region surrounding the radiator is assumed and its internal space is fllled up with the perfect electric conductor (PEC). The radiated fleld from the Huygens' equivalent electric current is zero. Referring to the Ohm-Rayleigh method and the scattering wave superposition, the dyadic Green's function (DGF) with the presence of a PEC sphere is expanded by a series of spherical vector wave functions. Based on the DGF and the measured tangential electric fleld, the radiation behavior of the radiator can be directly predicted without involving the uncertainty from the inverse process. The robustness and accuracy of the proposed method are verifled through several canonical antenna benchmarks.
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