Title :
Homogenization via Harmonic Analysis
Author_Institution :
LGEP, Gif-sur-Yvette
Abstract :
Homogenization, which reduces the cost of numerical simulation in materials with repetitive structure, is a promising approach to the design of photonic crystals and metamaterials. But its mathematical foundations may seem daunting. A link with standard harmonic analysis is indicated here ("homogenization as approximate Fourier analysis for lattice group actions"), which should help clarify the issue. New applications, to high-frequency problems are suggested
Keywords :
Fourier analysis; cost reduction; harmonic analysis; metamaterials; photonic crystals; approximate Fourier analysis; harmonic analysis; homogenization; lattice group actions; metamaterials; photonic crystals; Boundary conditions; Composite materials; Costs; Crystalline materials; Harmonic analysis; Lattices; Metamaterials; Numerical simulation; Partial differential equations; Photonic crystals;
Conference_Titel :
Electromagnetic Field Computation, 2006 12th Biennial IEEE Conference on
Conference_Location :
Miami, FL
Print_ISBN :
1-4244-0320-0
DOI :
10.1109/CEFC-06.2006.1632794
