Title :
A new method for the calculation of the dispersion of nonperiodic photonic crystal waveguides
Author :
Jafarpour, Aliakbar ; Reinke, Charles M. ; Adibi, Ali ; Xu, Yong ; Lee, Reginald K.
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
We present a new method for the calculation of the dispersion diagrams of general nonuniform waveguides. The method is based on the spatial Fourier transform (SFT) of the electromagnetic field distribution along the guiding direction. We demonstrate the validity and robustness of the SFT technique using several test cases. As an application, we apply the method to analyze the dispersion of biperiodic photonic crystal waveguides and show that the guiding bandwidths of these waveguides can be significantly enhanced by a proper choice of the two distinctive spatial periods of the biperiodic waveguides.
Keywords :
Fourier transforms; optical dispersion; optical waveguides; photonic crystals; biperiodic waveguides; dispersion diagrams; electromagnetic field distribution; general nonuniform waveguides; guiding bandwidths; nonperiodic photonic crystal waveguides; optical dispersion; spatial Fourier transform; Bandwidth; Dielectric materials; Electromagnetic fields; Electromagnetic waveguides; Finite difference methods; Fourier transforms; Lead; Periodic structures; Photonic crystals; Slabs; Dispersion; photonic crystal; waveguide;
Journal_Title :
Quantum Electronics, IEEE Journal of
DOI :
10.1109/JQE.2004.831613
