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

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume70
Issue number6
DOIs
StatePublished - Jan 1 2004

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Metamaterials
Vacuum
vacuum
Finite-difference Time-domain (FDTD)
simulators
Simulator
Propagation
Derivative
Numerical Results
propagation
Design
Model

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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title = "Reply to “Comment on ‘Existence and design of trans-vacuum-speed metamaterials’?”",
abstract = "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.",
author = "Ziolkowski, {Richard W}",
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