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Comparison of Coupled Mode Theory and FDTD Simulations of the Coupling Between Bend and Straight Optical Waveguides
 

Summary: Comparison of Coupled Mode Theory and FDTD Simulations of
the Coupling Between Bend and Straight Optical Waveguides
Kirankumar Hiremath, Remco Stoffer, Manfred Hammer,
MESA+
Research Institute, University of Twente, Enschede, The Netherlands
Abstract
The analysis of the integrated optical cylindrical microresonators involves
the coupling between a straight waveguide and a bend waveguide. Our (2D)
variant of coupled mode theory (CMT) is based on analytically represented
mode profiles. With the bend modes expressed in Cartesian coordinates,
coupled mode equations are derived in a classical way and solved numeri-
cally.
Proper corrections of the propagation matrix leads to stable results even in
parametric domains of compact and/or radiative structures, which seemed
unsuitable for a perturbational approach due to oscillations of the matrix
elements along the propagation. Comparisons with finite difference time
domain (FDTD) calculations show convincing agreement.
Bend Modes
The bend fields with bend radius R in the cylindrical co-ordinate system
(r, ) are modeled by

  

Source: Al Hanbali, Ahmad - Department of Applied Mathematics, Universiteit Twente

 

Collections: Engineering