The behavior of classical time-domain electromagnetic far fields is investigated with emphasis placed on those characteristics that are unique to the time domain. Necessary conditions are derived for the time-domain far fields to decay slower than 1/r and for the energy in a far-field pulse to decay slower than 1/r2. Time-domain near fields are expressed in terms of integrals over the time-domain far-field pattern. Analyticity with respect to angular variation of the time-domain far-field pattern is determined, and restrictions are derived on the time dependence of the electromagnetic far fields.
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Yaghjian et al. (1996) studied this question.
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