Relativistic finite-difference time-domain analysis of high-speed moving metamaterials

Abstract

In this paper, we apply a relativistic finite-difference time-domain (FDTD) method by using the Lorentz transformation to analyze metamaterials moving at a high speed. As an example, we consider a slab of left-handed metmaterial (LHM) with both relative permittivity and permeability equal to −1. Simulation results show that when the LHM slab moves at a high speed, its electromagnetic responses are drastically different from the static case. Specifically, when the LHM slab moves toward the source, for the case of normal incidence, there exists a special velocity at which fields experience a zero spatial phase delay through the LHM slab; while for the oblique incidence, above a certain velocity fields inside the LHM become evanescent. On the other hand, when the LHM slab moves away from the source, for the case of normal incidence, at the same special velocity the magnitudes of both electric and magnetic fields inside the LHM slab reach their minimum values; for the oblique incidence, the slab functions as a field converter. Besides, the transmitted waves through the LHM slab experience a red-shift (to a lower frequency) and the shift is proportional to the velocity of the LHM slab regardless of the moving direction.

FDTD Analysis of Relativistic Bistatic Polarized Scattering From a High-Speed Moving Dielectric Coated Target

“…The scattering fields of a moving conical-shaped object with a vibrational motion were further analyzed by using the Lorentz-FDTD method [23]. By combining the Lorentz transformation with an auxiliary differential equation (ADE) dispersive FDTD method, the reflected and transmitted waves by a moving 2-D LHM slab were investigated [24]. Since the research object is a moving 2-D LHM slab, the cross-polarized RCS cannot be obtained.…”

Relativistic Bistatic Scattering of a High-Speed Moving Plasma Coated Object

“…Tis analysis was presented in [25], and the successful implementation of the Lorentz-FDTD method demonstrates its potential for solving scattering problems involving 3-D complex moving structures. Te transmitted and refected waves by a 2-D left-handed metamaterial (LHM) slab in high-speed motion are investigated using a combination of the Lorentz-FDTD method and the ADE method, as presented in [26]. Due to the study target is a 2-D LHM slab in high-speed motion, it is not possible to obtain the polarized RCS.…”

Modified FDTD Scheme for Space-Time Engineered-Modulation (STEM) Structures

“…This issue is well-known. There have been only two workarounds in the litterature so far [23][24][25][26][27], both based on the FDTD technique [28,29], probably selected for its natural incarnation of both spatial and temporal variations in Maxwell's equations. However, one of these approaches is restricted to non-penetrable objects [23,24], while the other one implies cumbersome Lorentz frame transformations [25][26][27].…”