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Reducing the computational complexity of time domain integral equation (TDIE) schemes would yield a viable approach for analyzing transient scattering from electrically large structures. This paper illustrates the application of the plane wave time domain (PWTD) algorithm to the analysis of transient electromagnetic scattering from electrically large perfect conducting surface scatterers residing in free space. These algorithms complement classical marching-on-in-time (MOT) schemes for solving electric and magnetic field integral equations (EFIE, MFIE). Also, computational results illustrating the usefulness of these algorithms in analyzing transient scattering from electrically large structures are presented.