Singularity expansion method formulation for impulse response of a perfectly conducting thick cylinder


  • C.-I. Chuang,

  • D. P. Nyquist,

  • K.-M. Chen,

  • B. C. Drachman


The impulse response of an infinite, perfectly conducting thick cylinder to normally incident, transversely polarized, impulsive plane wave illumination is determined. Spectral-domain analysis based upon the singularity expansion method reveals that this response consists of a discrete series of natural resonance modes (natural frequencies are computed) augmented by a series of continuous-spectrum terms. The resultant late-time response demonstrates the correct “creeping wave” behavior as predicted by the Fourier synthesis technique, but with far fewer terms required for convergence.