Normal-incidence planar-optical waveguide-imbedded phase gratings of finite aperture width and length are analyzed with Svidzinskii’s [Sov. J. Quantum Electron. 10, 1103 (1980)] two-dimensional Bragg-diffraction theory. Svidzinskii’s characteristic-grating equations are adapted for the rectangular-grating case, and an overlap integral is used to extend the theory to account for the mode structure of the waveguide. The combined theory is used to optimize the throughput of a system composed of an input grating coupler, a waveguide, and an output grating coupler for both the highly multimode (thick-waveguide) and the few-mode (thin-waveguide) cases.
© 1995 Optical Society of America
Original Manuscript: September 12, 1994
Revised Manuscript: February 9, 1995
Published: July 10, 1995
Mark L. Jones, Richard P. Kenan, and Carl M. Verber, "Rectangular characteristic gratings for waveguide input and output coupling," Appl. Opt. 34, 4149-4158 (1995)