Two-dimensional analysis of a dielectric waveguide mirror

We present the two-dimensional (2-D) mode numerical analysis of a dielectric waveguide mirror with arbitrary structure angle. This work is an extension of a previously reported one-dimensional (1-D) mode analysis which accounts for the transverse variation, in addition to the lateral, of the waveguide modes. Inclusion of the transverse confinement is very important and has a significant effect on the predicted characteristics of the dielectric mirror. The dependence of the modal reflection on mode confinement and transverse and lateral mirror tilt is evaluated. In addition, the farfield is predicted and results in an unusual and unique crescent shaped distribution for angled incidence to the mirror. These mirrors are finding increasing use in many optical devices and systems including turning mirrors, lasers, and optical switches and couplers. With this expanding application, the characterization of these mirrors is paramount.