We propose an analytical approach for far-field calculation of antenna arrays comprised of arbitrarily oriented, identical elements using a straightforward rotation matrix calculation method. In addition, here we present a Constructive Analytical Phasing (CAP) method for arbitrary configurations of linearly polarized array elements. Conformal spherical and randomly oriented planar arrays of microstrip patch antennas are given as examples, wherein analytical results are verified by full-wave simulations. This approach provides substantial speed up compared to full-wave simulations, facilitating significantly broader tradeoff studies and optimizations, for a variety of antenna performance parameters.
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Bernety et al. (2018) studied this question.
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