scholarly journals Spectral Properties of a Streaming Operator with Diffuse Reflection Boundary Condition

1999 ◽  
Vol 238 (1) ◽  
pp. 20-43 ◽  
Author(s):  
Zhang Xianwen
Keyword(s):  
Boundary Condition ◽  
Spectral Properties ◽  
Diffuse Reflection ◽  
Reflection Boundary

scholarly journals Correction to: The Landau Equation with the Specular Reflection Boundary Condition

2021 ◽  
Vol 240 (1) ◽  
pp. 605-626
Author(s):  
Yan Guo ◽  
Hyung Ju Hwang ◽  
Jin Woo Jang ◽  
Zhimeng Ouyang
Keyword(s):  
Boundary Condition ◽  
Specular Reflection ◽  
Landau Equation ◽  
Reflection Boundary

An inverse problem for the Vlasov–Poisson system

2015 ◽  
Vol 23 (4) ◽  
Author(s):  
Fikret Gölgeleyen ◽  
Masahiro Yamamoto
Keyword(s):  
Boundary Condition ◽  
Inverse Problem ◽  
Specular Reflection ◽  
Nauk Sssr ◽  
Poisson System ◽  
Local Uniqueness ◽  
Electrical Field ◽  
Stability Theorems ◽  
Akad Nauk Sssr ◽  
Reflection Boundary

AbstractIn this paper, we discuss an inverse problem for the Vlasov–Poisson system. We prove local uniqueness and stability theorems by using the method in Anikonov and Amirov [Dokl. Akad. Nauk SSSR 272 (1983), 1292–1293] under the specular reflection boundary condition and with a prescribed outward electrical field at the boundary.

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.

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