Impedance boundary condition for vector potentials on thin layers and its application to integral equations

1998 ◽  
Vol 1 (1) ◽  
pp. 103-109 ◽  
Author(s):  
H. Igarashi ◽  
A. Kost ◽  
T. Honma
Keyword(s):  
Boundary Condition ◽  
Integral Equations ◽  
Thin Layers ◽  
Impedance Boundary Condition ◽  
Impedance Boundary ◽  
Vector Potentials

scholarly journals Mathematical and numerical framework for metasurfaces using thin layers of periodically distributed plasmonic nanoparticles

2016 ◽  
Vol 472 (2193) ◽  
pp. 20160445 ◽  
Author(s):  
Habib Ammari ◽  
Matias Ruiz ◽  
Wei Wu ◽  
Sanghyeon Yu ◽  
Hai Zhang
Keyword(s):  
Boundary Condition ◽  
Spectral Properties ◽  
Thin Layers ◽  
Optical Scattering ◽  
Plasmonic Nanoparticles ◽  
Type Operator ◽  
Impedance Boundary Condition ◽  
Resonant Frequencies ◽  
Impedance Boundary ◽  
Conducting Plate

In this paper, we derive an impedance boundary condition to approximate the optical scattering effect of an array of plasmonic nanoparticles mounted on a perfectly conducting plate. We show that at some resonant frequencies the impedance blows up, allowing for a significant reduction of the scattering from the plate. Using the spectral properties of a Neumann–Poincaré type operator, we investigate the dependency of the impedance with respect to changes in the nanoparticle geometry and configuration.

scholarly journals On the Numerical Simulation of Metasurfaces With Impedance Boundary Condition Integral Equations

2015 ◽  
Vol 63 (5) ◽  
pp. 2153-2161 ◽  
Author(s):  
Matteo Alessandro Francavilla ◽  
Enrica Martini ◽  
Stefano Maci ◽  
Giuseppe Vecchi
Keyword(s):  
Numerical Simulation ◽  
Boundary Condition ◽  
Integral Equations ◽  
Impedance Boundary Condition ◽  
Impedance Boundary
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