Title :
On phase matching and power coupling in grating-assisted couplers
Author :
Huang, W.-P. ; Little, B.E. ; Xu, C.L.
Author_Institution :
Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada
Abstract :
Two formulas of phase-matching condition for grating-assisted couplers in the literature are compared. The power exchange between the waveguides is examined by a numerical solution to the coupled-mode equations and a direct simulation by the beam propagation method. It is demonstrated that the phase-matching of the normal modes of the coupler (array modes) maximizes the power coupling. The approximate phase-matching condition for the modes of the individual waveguides (waveguide modes), however, leads to only partial power exchange.<>
Keywords :
diffraction gratings; directional couplers; integrated optics; optical couplers; optical waveguide theory; approximate phase-matching condition; array modes; beam propagation method; coupled-mode equations; directional couplers; grating-assisted couplers; normal modes; numerical solution; partial power exchange; phase matching; phase-matching condition; planar waveguides; power coupling; waveguide modes; waveguides; Arrayed waveguide gratings; Directional couplers; Equations; Frequency conversion; Optical frequency conversion; Optical propagation; Optical waveguides; Phased arrays; Power markets; Propagation constant;
Journal_Title :
Photonics Technology Letters, IEEE
