Analysis of eigenmode for 3-D optical waveguide based on planar circuit equations and lateral equivalent network

Exact calculation of eigenvalues and eigenmodes for 3-D optical waveguide are important for rigorous analysis/design of optical waveguide circuit. Based on planar circuit equations and mode expansion method, equivalent network for 3-D optical waveguide in lateral direction is derived and applied to the analysis of practical 3-D optical waveguide with success.

1. Introduction

3-D optical waveguide as shown in Fig. 1 is key elements for integration of optical circuit. Hence, exact calculation of eigenmode for these waveguides is important for analysis/design of optical circuit. In this paper, rigorous equivalent network in lateral direction for 3-D optical waveguide is derived, based on surface-wave planar circuit equations and modal analysis, and applied to the analysis of raised strip line structure shown in Fig. 1(a) with success.