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Entire-domain MoM analysis of an array of arbitrarily oriented circular loop antennas: a general formulation

This paper presents a general formulation for the entire-domain method of moments analysis of an N-element array of arbitrarily oriented coupled circular loop antennas. The orientations of the loops with respect to each other are defined through the use of Eulerian angles. The positions of the loops in space are defined by translation vectors from the center of a loop to another. By making use of coordinate transformations and vector algebra, a concise set of linear equations for solving the currents on the loops is obtained. The formulation is sufficiently general to be used for all the previously reported coupled loop orientations. It is also ideal for the study of skewed circular loops which may be oriented in innumerable ways and in turn demand a general formulation for their analysis. The use of the general formulation is illustrated by analyzing the coupling currents between collocated skewed loops. The formulation is also applied to study the effects on the transfer impedance between a pair of noncollocated skewed loops as one of the loops is rotated about various axes.