Equivalent Network Approach for Field Analysis of 3-D Optical Waveguide Step Discontinuity and their Dynamic Behavior

Exact analysis of step discontinuity of 3-D optical waveguide is important for exact design of optical integrated circuit. Mode theory is introduced to derive the equivalent network in lateral direction and that in waveguide direction. The former is used to calculate waveguide propagation mode, which leads to the equivalent network along waveguide direction. The latter is used for field analysis of step discontinuity of 3-D optical waveguide. Two kinds of so far derived equivalent network are used to give reasonable analytical results with success.