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In this paper, mathematical analyses and physical interpretations for the mutual coupling mechanisms within a finite nonlinearly loaded antenna array are presented. These analyses are based on the method of nonlinear currents with the array mutual coupling effects treated by a power series expansion technique. Initially, the antenna input terminals in an antenna array are related by an equivalent multiport microwave circuit. Each port of this equivalent circuit network is then treated by the method of nonlinear currents. The antenna array mutual coupling effect is considered in this linear network and treated by a power series expansion technique. This study gives not only full analyses, but also physical insight into the mutual coupling mechanisms of nonlinearly loaded antenna arrays.