Reply to “Comment on ‘Existence and design of trans-vacuum-speed metamaterials’?”

It is clarified further mathematically that the two-time derivative Lorentz metamaterial (2TDLM) model, which was used to achieve the trans-vacuum-speed effects in [Phys. Rev. E 68 026612 2003], has a delayed causal response in agreement with the analytical and numerical results given there. The key point that the analytical (explicit low-pass filtered), and the numerical finite difference time domain and circuit simulator (implicit low-pass filtered) results for information propagation in a nonperfect 2TDLM medium still exhibit the trans-vacuum-speed (TVS) effect, despite the (physically required) imposed absence of the 2TDLM’s unusual high-frequency behavior, is also discussed in more detail.