Sketch electric field of beamed antenna.

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Suppose we have an antenna which has large directional gain. Suppose the antenna broadcasts linearly polarized radiation in a narrow beam and at constant frequency. Sketch the electric field in the plane which contains both the electric field and the beam axis. Does the attached come close?
 

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Will the magnetic field look similar but rotated a quarter turn about the beam axis?

Given the electric field work backwards and sketch the vector potential.

Thanks for any help!
 

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