General coupled-mode analysis of Cerenkov-radiation-type second-harmonic generation in channel and fiber waveguides

摘要

Coupled-mode analysis of Cerenkov-radiation-type second-harmonic generation, using channel and fiber waveguides, is presented from the viewpoint of device design. Nonlinear coupled-mode equations generally applicable for various waveguide configurations are derived and solved by considering the effects of pump-power depletion, waveguide loss, and effects of nonlinear gratings. Analytical expressions for the conversion efficiency as well as the near- and far-field radiation patterns are given, and the physical implications are discussed. The approximate results calculated for typical device configurations are summarized in graphic form, with normalized parameters. Guidelines for optimum design are given.