Title :
Efficient Numerical Method for Analyzing Coupling Structures of Photonic Crystal Waveguides
Author :
Hu, Zhen ; Lu, Ya Yan
Author_Institution :
Dept. of Math., Hohai Univ., Nanjing, China
Abstract :
Efficient coupling of light into and out of photonic crystal (PhC) waveguides is important for applications in photonic integrated circuits. An efficient numerical method is presented for analyzing two-dimensional structures that connect PhC waveguides with conventional waveguides (or free space). The method relies on rigorous boundary conditions for terminating both types of waveguides to obtain small computation domains. These boundary conditions are derived from square root operators for conventional waveguides and Bloch mode expansions in PhC waveguides.
Keywords :
integrated optics; optical couplers; optical waveguide theory; photonic crystals; Bloch mode expansions; boundary conditions; conventional waveguides; coupling structures; numerical method; photonic crystal waveguides; photonic integrated circuits; square root operators; two-dimensional structures; Bloch mode expansions; Dirichlet-to-Neumann (DtN) maps; boundary conditions; numerical methods; optical waveguides; photonic crystals (PhCs);
Journal_Title :
Photonics Technology Letters, IEEE
DOI :
10.1109/LPT.2009.2032778