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A variational mode solver for optical waveguides based on quasi-analytical vectorial slab mode expansion
 

Summary: A variational mode solver for optical waveguides based on
quasi-analytical vectorial slab mode expansion
O. V. (Alyona) Ivanova1
, Remco Stoffer1,2
, and Manfred Hammer1
1
MESA+ Institute for Nanotechnology, University of Twente, Enschede, The Netherlands
2
PhoeniX Software, Enschede, The Netherlands
A flexible and efficient method for fully vectorial modal analysis of 3D dielectric optical
waveguides with arbitrary 2D cross-sections is proposed. The technique is based on
expansion of each modal component in some a priori defined functions defined on one
coordinate axis times some unknown coefficient-functions, defined on the other axis.
By applying a variational restriction procedure the unknown coefficient-functions are
determined, resulting in an optimum approximation of the true vectorial mode profile.
This technique can be related to both Effective Index and Mode Matching methods.
A couple of examples illustrate the performance of the method.
Keywords: Integrated optics; Dielectric waveguides; Guided modes; Numerical modelling; Vari-
ational Methods
PACS: 42.82.m; 42.82.Et

  

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

 

Collections: Engineering; Mathematics