Title :
Optimal design of guided-mode grating resonance filters
Author :
Bao, Gang ; Huang, Kai
Author_Institution :
Dept. of Math., Michigan State Univ., East Lansing, MI, USA
Abstract :
Guided-mode grating resonance filters have many practical applications. The design of the optical devices presents a challenging computational problem. In this letter, the problem of determining the resonance frequency is formulated as an eigenvalue problem. A local optimization approach based on Newton´s method is proposed to solve the optimal design problem. Our numerical example indicates that the approach is fast and accurate.
Keywords :
Maxwell equations; Newton method; diffraction gratings; eigenvalues and eigenfunctions; optical waveguide filters; optical waveguide theory; optimisation; Newton´s method; dissipative problem; eigenvalue problem; forward problem; guided-mode grating resonance filters; homogeneous half-spaces; local optimization approach; lossless spectral filters; optimal design; planar thin film; resonance frequency; rigorous Maxwell solver; Design optimization; Eigenvalues and eigenfunctions; Gratings; Newton method; Optical computing; Optical design; Optical devices; Optical filters; Resonance; Resonant frequency;
Journal_Title :
Photonics Technology Letters, IEEE
DOI :
10.1109/LPT.2003.818927
