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Field pattern of Elliptical Loop placed in XZ plane and YZ Plane

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Radiation pattern of Elliptical loop antenna placed in XY plane is given by
ellipse_eqn.jpg.


Question:
If the elliptical loop antenna is place in XZ plane and YZ plane respectively what would be the radiation pattern. Kindly help me. Thanks.

Reference: The equation is from following reference. J. Y. Wong and S. C. Loh, "Calculated radiation resistance of an elliptical loop antenna with constant current," in Radio Engineers, Journal of the British Institution of, vol. 19, no. 2, pp. 89-91, February 1959.
 

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