Abstract
The resonance scattering theory, developed by us earlier, furnishes poles of the scattering amplitude of acoustic or other types of waves in the complex frequency plane which have been explained in terms of resonances of circumferential waves. Analogous poles in electromagnetic scattering theory were analyzed by the ’’Singularity Expansion Method’’ (SEM). It is shown here for the case of sound scattering from an impenetrable sphere that the residue sum over an appropriate subset of the complex-frequency poles will lead to the synthesis of a given, repeatedly circumnavigating individual circumferential wave (or pulse).
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