Electromagnetic Field Enhancement in Small Gaps: A Rigorous Mathematical Theory

@article{Lin2015ElectromagneticFE,
title={Electromagnetic Field Enhancement in Small Gaps: A Rigorous Mathematical Theory},
author={Junshan Lin and Fernando Reitich},
journal={SIAM J. Appl. Math.},
year={2015},
volume={75},
pages={2290-2310}
}
• Published 1 October 2015
• Physics
• SIAM J. Appl. Math.
This paper is concerned with the field enhancement when an electromagnetic wave passes through subwavelength metallic gaps. We focus on a particular configuration when there is extreme scale difference between the wavelength of the incident wave, the thickness of metal films, and the size of gap apertures. Based upon a rigorous study of the perfect electrical conductor model for the transverse magnetic ploarization, we show that enormous electric field enhancement occurs inside the gap if the…
15 Citations

Figures from this paper

• Physics
Partial Differential Equations and Applications
• 2021
Consider the transverse magnetic polarization of the electromagnetic scattering of a plane wave by a perfectly conducting plane surface, which contains a two-dimensional subwavelength rectangular
• Physics
SIAM J. Appl. Math.
• 2017
It is shown that the fast transition of the magnetic field in the slit induces strong electric field enhancement, and the field enhancement at nonresonant frequencies in the quasi-static regime is investigated.
• Physics
• 2017
This paper is concerned with the scattering and field enhancement of a narrow slit perforated in a slab of perfect conductor. We demonstrate that the enhancement of the electromagnetic field for such
• Physics
Multiscale Model. Simul.
• 2018
The scattering problem in the diffraction regime is investigated in this part, and it is demonstrated that the field enhancement becomes weaker at the resonant frequency if it is close to the Rayleigh cut-off frequencies.
• Physics
SIAM J. Appl. Math.
• 2020
It is proved that the Fano-type anomalies occurs for the transmission of energy through the slab, and it is shown that the field enhancement is of order $1/(\kappa\varepsilon)$, which is stronger than Fabry-Perot resonance.
• Physics
Scientific reports
• 2017
A large field enhancement was attributed to gap plasmons generated by the THz wave, which squeezes the charge cross-section, thus enabling very highly dense oscillating charges and strong THz field transmission from the nanoslits.
• Physics
• 2019
This work concerns resonant scattering by a perfectly conducting slab with periodically arranged subwavelength slits, with two slits per period. There are two classes of resonances, corresponding to
• Physics
Optics express
• 2020
This paper performs computations of a single nanoslit using the hybridizable discontinuous Galerkin method to solve Maxwell's equations augmented with the hydrodynamic model for the conduction-band electrons in noble metals, which enables the efficient simulation of the slit while accounting for the nonlocal interactions between electrons and the incident light.
• Physics
Partial Differential Equations and Applications
• 2021
This work aims to investigate scattering resonances and the field amplification at resonant frequencies for a subwavelength hole of width ε embedded in a sound hard slab. We apply the integral

References

SHOWING 1-10 OF 17 REFERENCES

• Physics
Physical review letters
• 2002
Strong resonant transmission of microwave radiation through a very narrow (much less than the radiation wavelength) metallic slit is recorded. The results show that a set of resonant self-coupled
• Physics
• 2010
This review provides a perspective on the recent developments in the transmission of light through subwavelength apertures in metal films. The main focus is on the phenomenon of extraordinary optical
• Physics
• 2009
The effect of a tiny gap in a metal substrate on incident terahertz radiation in the regime where the gap's dimensions are smaller than the metal's skin-depth are investigated. The results and
• Physics
Nature
• 1998
The desire to use and control photons in a manner analogous to the control of electrons in solids has inspired great interest in such topics as the localization of light, microcavity quantum
Spectral transmission from a periodic array of such slits features the same peaks with a high increase in their magnitude, confirming that a grating acts as an amplifier of those resonances.
• Physics
• 2010
By solving Maxwell equations with the ideal-metal boundary conditions in the TM case, we have fully described the transmission and diffraction properties of a single slit regardless of its width.
• Physics
Nature communications
• 2013
A new patterning technology based on atomic layer deposition and simple adhesive-tape-based planarization is introduced, which creates vertically oriented gaps in opaque metal films along the entire contour of a millimetre-sized pattern.
• Mathematics
SIAM J. Appl. Math.
• 2011
By using multiple frequency data to image the profile of the surface displacement, a stable and accurate reconstruction method is presented and an integral equation approach is introduced for the solution of the forward scattering problem.
• Mathematics, Physics
• 1992
Introduction.- The Helmholtz Equation.- Direct Acoustic Obstacle Scattering.- III-Posed Problems.- Inverse Acoustic Obstacle Scattering.- The Maxwell Equations.- Inverse Electromagnetic Obstacle
• Mathematics
• 1983
Preface to the Classics Edition Preface Symbols 1. The Riesz-Fredholm theory for compact operators 2. Regularity properties of surface potentials 3. Boundary-value problems for the scalar Helmholtz