Novel boundary condition for the finite-element solution of arbitrary planar junctions

Novel boundary condition for the finite-element solution of arbitrary planar junctions

A novel boundary condition for a two-dimensional finite-element method (2D-FEM) is developed to simulate accessing waveguides to planar optical junctions. This new boundary condition is based on a paraxial approximation to the field's derivatives over the junction's ports. The formulation...

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Veröffentlicht in:IEEE photonics technology letters 2001-01, Vol.13 (1), p.46-48
Hauptverfasser: Davanco, M.I., Rubio-Mercedes, C.E., Hernandez-Figueroa, H.E.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Boundary conditions
Derivatives
Discontinuity
Finite element method
Finite element methods
Integral equations
Mathematical analysis
Optical planar waveguides
Optical scattering
Optical waveguides
Perfectly matched layers
Planar waveguides
Simulation
Waveguide discontinuities
Waveguide junctions
Waveguides
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Beschreibung
Zusammenfassung:A novel boundary condition for a two-dimensional finite-element method (2D-FEM) is developed to simulate accessing waveguides to planar optical junctions. This new boundary condition is based on a paraxial approximation to the field's derivatives over the junction's ports. The formulation is very easily adapted within the 2D-FEM framework while providing good simulation results. Two examples are provided to show the applicability and reliability of the present method: a waveguide step discontinuity and a sharp waveguide bend.
ISSN:1041-1135
1941-0174
DOI:10.1109/68.903216