Three new techniques are proposed for the design of optical devices for various applications in optical communications and networking. The first algorithm shows that the nonperiodic grating-assisted directional coupler design can achieve not only the complete power transfer but also superior performances over the conventional periodic grating-assisted directional coupler in nonsynchronous waveguides. The second method is the newly proposed angular spectrum and beam propagation methods using the continuous and discrete sine transforms. This alternative approach is useful especially when the boundary conditions need to be zeroes, for example at the dielectric-metal interfaces. Lastly, the ranked phased-array method @PAM) helps achieve an optical device called ranked phased-array (RPA) that, along with the existing phased-array (PHASAR) based devices, can efficiently utilize most of the optical low-loss bandwidths in a single system, and has the potential to greatly increase the number of transmitted channels in dense wavelength division multiplexing (DWDM).

Date of this Version

December 2001