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An improved testing procedure using the marching-on-inorder method to solve the time-domain electric field integral equation (TD-EFIE) for conducting objects using the Laguerre polynomials is presented. Exact temporal testing is performed before the spatial testing, therefore the retarded terms composed of the spatial and the temporal variables can be analytically separated. The uniqueness of this testing procedure is that the time variable can be analytically integrated out and the accuracydoi:10.1109/tap.2005.861515 fatcat:wrqny3b4ondxbayb3wm3xutb6u