Discussion
What assumption about the wire makes the thin wire dipole analysis tractable?
Answer: A
Taking the current as a filament along the axis with an assumed sinusoidal distribution reduces the problem to a single integral, and the result is accurate for wires thin compared with a wavelength. Thick elements need a numerical treatment. Mechanical rigidity is irrelevant, zero resistance is a separate idealisation affecting efficiency rather than pattern, and a uniform surrounding dielectric would change the wavelength but is not the assumption in question.
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