The physical content of the singularity expansion method

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