Behavior of a received pulse radiated by half-wave dipole excited by a single-cycle sinusoidal voltage

Comments on "A stable procedure to calculate the transient scattering by conducting surfaces of arbitrary shape" [with reply]

“…Also, my friends called me "Hogy" when I was a ten-year-old boy, so their reference [I81 brought back pleasant memories. Comments on "A Stable Procedure to Calculate the lkansient Scattering by Conducting Surfaces of Arbitrary Shape" B. P. Rynne I would like to make some comments on some remarks made in the above paper' regarding the solution procedure described in [2]. In the introduction to above paper it is stated that Furthermore, the numerical method presented in [2] Another chief concern with this method is the apparent violation of the Courant condition which should be satisfied to obtain stable results.…”

“…Comments on "A Stable Procedure to Calculate the lkansient Scattering by Conducting Surfaces of Arbitrary Shape" B. P. Rynne I would like to make some comments on some remarks made in the above paper' regarding the solution procedure described in [2]. In the introduction to above paper it is stated that Furthermore, the numerical method presented in [2] Another chief concern with this method is the apparent violation of the Courant condition which should be satisfied to obtain stable results. Although the numerical results presented in this work do not exhibit any instabilities, the concern remains whether this scheme generates stable results in more complex problems.. .…”

“…for full details regarding the triangular patch basis functions used in [2] and in the paper in question. We begin by briefly discussing the method of moments type testing procedure used in [I] to discretize the equations; we will use the notation of [2].…”

“…We begin by briefly discussing the method of moments type testing procedure used in [I] to discretize the equations; we will use the notation of [2]. Suppose that we have a triangular mesh on a conducting surface [2], which discusses the stability of the method, it was noted that this natural testing procedure led to instability because of ill conditioning of M and that evaluating the self-patch contribution to the vector potential A at the centers of the edges improved matters.…”

“…Thus, as clearly stated in section 4 of [2], this procedure was used in the computations in [2]; in other words a testing procedure very similar to that eventually adopted in the paper in question was used in [2]. This adaptation of the testing procedure makes Jf much less ill conditioned by making it diagonally dominant, for reasons discussed in [2].…”