The singularity expansion method describes the echo return from pulsed radar signals in terms of a Prony‐series superposition of damped sinusoids. These are obtained as the residues of poles of the scattering amplitude in the complex frequency plane. For the example of radar scattering from a conducting sphere, we show that these poles can be regrouped into infinite subsets whose residues sums represent individual creeping waves, thenth pole in the subseries corresponding to the resonance caused by a standing creeping wave withn+1/2 wavelength spanning the circumference. The corresponding Prony subseries thus appears simply as a mathematical device which synthesizes the physical creeping wave.