Comments on "New prospects for time domain analysis" [and reply]

For the original article see ibid., vol. 5, no. 11, p. 382-4 (1995). In the aforementioned article, a new multiresolution time-domain scheme (S-MRTD) was applied to reduce the Maxwell's equations into difference equations using the method of moments with cubic spline Battle-Lemarie scaling functions. Their results showed that a highly linear dispersion characteristic was achieved when it is compared with the Yee's finite-difference time-domain (FDTD) scheme (see IEEE Trans. Antennas & Propagat., vol. 14, no. 3, p. 302-7, 1996). The commenter points out, however, that the second-order accuracy finite-difference approximation is used in the Yee's scheme and the new scheme employs the form similar to the eighteenth-order accuracy approximation so that one has to compare the new scheme with the higher-order accuracy Yee's FDTD scheme. In reply the authors take this opportunity to clarify some aspects of their work.