Title :
Variational expression for the analysis of photonic crystal devices
Author :
Ohtera, Yasuo ; Kurokawa, Kaneyuki ; Kawakami, Shojiro
Author_Institution :
New Ind. Creation Hatchery Center, Tohoku Univ., Sendai, Japan
fDate :
7/1/2002 12:00:00 AM
Abstract :
Variational expressions of the eigenfrequencies for photonic crystals are presented. We demonstrate that, by combining the expression with the conventional FDTD algorithm, the features of photonic band structures can be obtained efficiently. The proposed method can also be applied to the dispersion curves of photonic crystal waveguides. By employing the Rayleigh-Ritz method, anti-crossing features of the dispersion curves caused by the coupling of eigenmodes can be also successfully treated
Keywords :
dispersion relations; eigenvalues and eigenfunctions; finite difference time-domain analysis; optical waveguide theory; photonic band gap; variational techniques; FDTD algorithm; Rayleigh-Ritz method; anti-crossing features; dispersion curves; eigenfrequencies; eigenmode coupling; photonic band structures; photonic crystal devices; photonic crystal waveguides; variational expression; Dielectrics; Dispersion; Educational technology; Electromagnetic waveguides; Finite difference methods; Laboratories; Lattices; Optical refraction; Photonic crystals; Time domain analysis;
Journal_Title :
Quantum Electronics, IEEE Journal of
DOI :
10.1109/JQE.2002.1017608
