Finite-difference time-domain analysis of the tunneling and growing exponential in a pair of Îμ -negative and Î -negative slabs

Andrea Alú, Nader Engheta, Richard W Ziolkowski

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

Pairing together planar material slabs with opposite signs for the real parts of their constitutive parameters has been shown to lead in the steady-state regime to interesting and unconventional properties that are not otherwise observable for single slabs, such as resonance, anomalous tunneling, transparency, and subwavelength imaging through the reconstruction of evanescent waves. The mechanics of the phenomenon, however, and in particular how the steady-state resonant response is reached, has not been explored. Here we analyze how a transient sinusoidal signal that starts at t=0 interacts with such a complementary pair of finite size using a finite-difference time-domain (FDTD) technique. Multiple reflections and transmissions at each interface are shown to build up to the eventual steady-state response of the pair, and during this process one can observe how the “growing exponentialâ€phenomenon may actually occur inside this bilayer. As with any resonant phenomena, the time response of this effect depends on the Q of the system, which is related to the geometrical and electrical parameters of the bilayer. Transparency to finite beams and reconstruction of the subwavelength details of an image are shown in the transient and steady-state response of the setup through one-dimensional and two-dimensional FDTD simulations.

Original languageEnglish (US)
Article number016604
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume74
Issue number1
DOIs
StatePublished - 2006

Fingerprint

Time Domain Analysis
time domain analysis
Finite-difference Time-domain (FDTD)
slabs
Transparency
Evanescent Wave
Transient State
time response
evanescent waves
Pairing
Response Time
Anomalous
Mechanics
Imaging
Simulation
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

@article{ebf938ff80c344df98380641c7dd91bc,
title = "Finite-difference time-domain analysis of the tunneling and growing exponential in a pair of {\^I}μ -negative and {\^I} -negative slabs",
abstract = "Pairing together planar material slabs with opposite signs for the real parts of their constitutive parameters has been shown to lead in the steady-state regime to interesting and unconventional properties that are not otherwise observable for single slabs, such as resonance, anomalous tunneling, transparency, and subwavelength imaging through the reconstruction of evanescent waves. The mechanics of the phenomenon, however, and in particular how the steady-state resonant response is reached, has not been explored. Here we analyze how a transient sinusoidal signal that starts at t=0 interacts with such a complementary pair of finite size using a finite-difference time-domain (FDTD) technique. Multiple reflections and transmissions at each interface are shown to build up to the eventual steady-state response of the pair, and during this process one can observe how the {\^a}€œgrowing exponential{\^a}€phenomenon may actually occur inside this bilayer. As with any resonant phenomena, the time response of this effect depends on the Q of the system, which is related to the geometrical and electrical parameters of the bilayer. Transparency to finite beams and reconstruction of the subwavelength details of an image are shown in the transient and steady-state response of the setup through one-dimensional and two-dimensional FDTD simulations.",
author = "Andrea Al{\'u} and Nader Engheta and Ziolkowski, {Richard W}",
year = "2006",
doi = "10.1103/PhysRevE.74.016604",
language = "English (US)",
volume = "74",
journal = "Physical review. E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "1",

}

TY - JOUR

T1 - Finite-difference time-domain analysis of the tunneling and growing exponential in a pair of Îμ -negative and Î -negative slabs

AU - Alú, Andrea

AU - Engheta, Nader

AU - Ziolkowski, Richard W

PY - 2006

Y1 - 2006

N2 - Pairing together planar material slabs with opposite signs for the real parts of their constitutive parameters has been shown to lead in the steady-state regime to interesting and unconventional properties that are not otherwise observable for single slabs, such as resonance, anomalous tunneling, transparency, and subwavelength imaging through the reconstruction of evanescent waves. The mechanics of the phenomenon, however, and in particular how the steady-state resonant response is reached, has not been explored. Here we analyze how a transient sinusoidal signal that starts at t=0 interacts with such a complementary pair of finite size using a finite-difference time-domain (FDTD) technique. Multiple reflections and transmissions at each interface are shown to build up to the eventual steady-state response of the pair, and during this process one can observe how the “growing exponentialâ€phenomenon may actually occur inside this bilayer. As with any resonant phenomena, the time response of this effect depends on the Q of the system, which is related to the geometrical and electrical parameters of the bilayer. Transparency to finite beams and reconstruction of the subwavelength details of an image are shown in the transient and steady-state response of the setup through one-dimensional and two-dimensional FDTD simulations.

AB - Pairing together planar material slabs with opposite signs for the real parts of their constitutive parameters has been shown to lead in the steady-state regime to interesting and unconventional properties that are not otherwise observable for single slabs, such as resonance, anomalous tunneling, transparency, and subwavelength imaging through the reconstruction of evanescent waves. The mechanics of the phenomenon, however, and in particular how the steady-state resonant response is reached, has not been explored. Here we analyze how a transient sinusoidal signal that starts at t=0 interacts with such a complementary pair of finite size using a finite-difference time-domain (FDTD) technique. Multiple reflections and transmissions at each interface are shown to build up to the eventual steady-state response of the pair, and during this process one can observe how the “growing exponentialâ€phenomenon may actually occur inside this bilayer. As with any resonant phenomena, the time response of this effect depends on the Q of the system, which is related to the geometrical and electrical parameters of the bilayer. Transparency to finite beams and reconstruction of the subwavelength details of an image are shown in the transient and steady-state response of the setup through one-dimensional and two-dimensional FDTD simulations.

UR - http://www.scopus.com/inward/record.url?scp=33746242378&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33746242378&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.74.016604

DO - 10.1103/PhysRevE.74.016604

M3 - Article

AN - SCOPUS:33746242378

VL - 74

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 1

M1 - 016604

ER -