Galerkin finite element scheme with Bayliss-Gunzburger-Turkel-like boundary conditions for vectorial optical mode solver

H.P. Uranus; Hugo Hoekstra; Embrecht W.C. van Groesen

doi:10.1142/S0218863504001840

Galerkin finite element scheme with Bayliss-Gunzburger-Turkel-like boundary conditions for vectorial optical mode solver

H.P. Uranus, Hugo Hoekstra, Embrecht W.C. van Groesen

Research output: Contribution to journal › Article › Academic › peer-review

13 Citations (Scopus)

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Abstract

A Galerkin finite element scheme furnished with 1st-order Bayliss-Gunzburger-Turkel-like boundary conditions is formulated to compute both the guided and leaky modes of anisotropic channel waveguides of non-magnetic materials with diagonal permittivity tensor. The scheme is formulated using transverse components of magnetic fields for nodal-based quadratic triangular elements. Results for some structures will be presented. The effectiveness of the boundary conditions will be illustrated using a step-index optical fiber with computational boundaries positioned near to the core, and the leaky modes computation of a leaky rib structure. Besides, a leaky mode solving of a six-hole “photonic crystal fiber��? will be demonstrated. The computed results agree with their exact values (for optical fibers) and published results (for other structures).

Original language	Undefined
Pages (from-to)	175-194
Number of pages	20
Journal	Journal of nonlinear optical physics & materials
Volume	13
Issue number	2
DOIs	https://doi.org/10.1142/S0218863504001840
Publication status	Published - Jun 2004

Keywords

EWI-11554
IOMS-MIS: MISCELLANEOUS
METIS-218102
IR-47544

Access to Document

10.1142/S0218863504001840

http://eprints.eemcs.utwente.nl/secure2/11554/01/Uranus_JNOPM04(VFEM)AsPub.pdf

Cite this

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title = "Galerkin finite element scheme with Bayliss-Gunzburger-Turkel-like boundary conditions for vectorial optical mode solver",

abstract = "A Galerkin finite element scheme furnished with 1st-order Bayliss-Gunzburger-Turkel-like boundary conditions is formulated to compute both the guided and leaky modes of anisotropic channel waveguides of non-magnetic materials with diagonal permittivity tensor. The scheme is formulated using transverse components of magnetic fields for nodal-based quadratic triangular elements. Results for some structures will be presented. The effectiveness of the boundary conditions will be illustrated using a step-index optical fiber with computational boundaries positioned near to the core, and the leaky modes computation of a leaky rib structure. Besides, a leaky mode solving of a six-hole “photonic crystal fiber��? will be demonstrated. The computed results agree with their exact values (for optical fibers) and published results (for other structures).",

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T1 - Galerkin finite element scheme with Bayliss-Gunzburger-Turkel-like boundary conditions for vectorial optical mode solver

AU - Uranus, H.P.

AU - Hoekstra, Hugo

AU - van Groesen, Embrecht W.C.

PY - 2004/6

Y1 - 2004/6

N2 - A Galerkin finite element scheme furnished with 1st-order Bayliss-Gunzburger-Turkel-like boundary conditions is formulated to compute both the guided and leaky modes of anisotropic channel waveguides of non-magnetic materials with diagonal permittivity tensor. The scheme is formulated using transverse components of magnetic fields for nodal-based quadratic triangular elements. Results for some structures will be presented. The effectiveness of the boundary conditions will be illustrated using a step-index optical fiber with computational boundaries positioned near to the core, and the leaky modes computation of a leaky rib structure. Besides, a leaky mode solving of a six-hole “photonic crystal fiber��? will be demonstrated. The computed results agree with their exact values (for optical fibers) and published results (for other structures).

AB - A Galerkin finite element scheme furnished with 1st-order Bayliss-Gunzburger-Turkel-like boundary conditions is formulated to compute both the guided and leaky modes of anisotropic channel waveguides of non-magnetic materials with diagonal permittivity tensor. The scheme is formulated using transverse components of magnetic fields for nodal-based quadratic triangular elements. Results for some structures will be presented. The effectiveness of the boundary conditions will be illustrated using a step-index optical fiber with computational boundaries positioned near to the core, and the leaky modes computation of a leaky rib structure. Besides, a leaky mode solving of a six-hole “photonic crystal fiber��? will be demonstrated. The computed results agree with their exact values (for optical fibers) and published results (for other structures).

KW - EWI-11554

KW - IOMS-MIS: MISCELLANEOUS

KW - METIS-218102

KW - IR-47544

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