Iterative approach to Maxwell equations for dielectric media of spatially varying refractive index

2003 ◽  
Vol 67 (4) ◽  
Author(s):  
S. Menon ◽  
Q. Su ◽  
R. Grobe
Keyword(s):  
Refractive Index ◽  
Maxwell Equations ◽  
Iterative Approach ◽  
Dielectric Media ◽  
Spatially Varying

scholarly journals Cloaking using complementary media for electromagnetic waves

2019 ◽  
Vol 25 ◽  
pp. 29 ◽  
Author(s):  
Hoai-Minh Nguyen
Keyword(s):  
Refractive Index ◽  
Elliptic Equations ◽  
Electromagnetic Waves ◽  
Scientific Community ◽  
Maxwell Equations ◽  
Frequency Range ◽  
Negative Index Materials ◽  
Three Sphere ◽  
Weakly Coupled ◽  
Second Order Elliptic Equations

Negative index materials are artificial structures whose refractive index has negative value over some frequency range. The study of these materials has attracted a lot of attention in the scientific community not only because of their many potential interesting applications but also because of challenges in understanding their intriguing properties due to the sign-changing coefficients in equations describing their properties. In this paper, we establish cloaking using complementary media for electromagnetic waves. This confirms and extends the suggestions of Lai et al. [Phys. Rev. Lett. 102 (2009) 093901] for the full Maxwell equations. The analysis is based on the reflecting and removing localized singularity techniques, three-sphere inequalities, and the fact that the Maxwell equations can be reduced to a weakly coupled second order elliptic equations.

Long-range surface plasmon resonance and surface-enhanced Raman scattering on X-shaped gold plasmonic nanohole arrays

2017 ◽  
Vol 19 (35) ◽  
pp. 24126-24134 ◽  
Author(s):  
Chao Hou ◽  
Daniel David Galvan ◽  
Guowen Meng ◽  
Qiuming Yu
Keyword(s):  
Refractive Index ◽  
Surface Plasmon Resonance ◽  
Long Range ◽  
Surface Plasmon ◽  
Sers Substrate ◽  
Dielectric Media ◽  
Surface Enhanced ◽  
Nanohole Arrays ◽  
Surface Enhanced Raman ◽  
Enhanced Raman Scattering

X-shaped gold plasmonic nanohole arrays embedded in refractive index-matched dielectric media are designed and optimized as a long-range SERS substrate.

Sign in / Sign up

Export Citation Format

Share Document