| Popis: |
This is a numerical investigation of a recently proposed for- mulation called coupled transverse-mode integral equation (CTMIE) for analyzing EM fleld properties in general 2-D dielectric waveguide devices. The device is flrst approximated by stack of piece-wise 1-D horizontally layered structures. Transverse fleld components on the in- terface between waveguide slices are unknown functions, which are gov- erned by a coupled integral equation. When unknowns are expanded as a linear combination of given functions, CTMIE is converted to a coupled block matrix equation. We study three waveguide devices, in detail, to understand the relation between modeling parameters and accuracy and convergent rate of the solutions. Examples include a step waveguide junction, a multi-mode interferometer power cross coupler and a linearly tapered waveguide. All results are verifled with inde- pendent calculations using other proven methods. |
