Theoretical investigation of 2D periodic nanoplasmon structures

• Published in: Journal of communications technology & electronics Vol. 57; no. 11; pp. 1151 - 1159
• Main Author: Lerer, A. M.
• Format: Journal Article
• Language: English
• Published: Dordrecht SP MAIK Nauka/Interperiodica 01.11.2012; Springer; Springer Nature B.V
• Subjects: Analysis; Communications Engineering; Dielectrics; Diffraction; Diffraction gratings; Electric fields; Electric waves; Electrodynamics and Wave Propagation; Electromagnetic radiation; Electromagnetic waves; Electromagnetism; Engineering; Galerkin methods; Investigations; Mathematical analysis; Mathematical models; Methods; Nanomaterials; Nanostructure; Networks; Numerical analysis; Optics; Studies; Two dimensional; Wavelengths; Approximate Boundary Condition; Elliptic Aperture; Silver Film; Helmholtz Equation; Dielectric Grating
• ISSN: 1064-2269; 1555-6557
• DOI: 10.1134/S106422691210004X

The problem of diffraction of electromagnetic waves by 2D periodic metal gratings is solved with allowance for the finite permittivity of a metal in the optical band. The developed mathematical model is based on the solution of the vector integro-differential equation of diffraction by 3D dielectric bodies by means of the Galerkin method. It is noted that the dependence of the scattered field amplitude on the wavelength has a resonance character and that the resonance wavelengths can substantially exceed the dimensions of a grating cell. The application of the method of approximate boundary conditions for the calculation of gratings containing nanodimensional metal layers is justified. It is demonstrated that a grating with small reflection and transmission factors under the plasmon-resonance conditions can be created.