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 conferencePaper

    34 Downloads (Pure)

    Abstract

    A Galerkin finite element scheme furnished with 1st-order Bayliss-Gunzberger-Turkel-like boundary conditions is formulated to compute both the guided and leaky modes of anisotropic channel waveguides of non-magnetic material with diagonal permitivity tensor. The scheme is formulated using nodal-based transverse components of magnetic fields for quadratic triangular elements. The symmetry and shape of the structure, together with the boundary conditions have been exploited to reduce the size of the computational domain. 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 leaky modes computation of an ARROW structure and a six-hole photonic crystal fiber.
    Original languageUndefined
    Pages49-49
    Number of pages1
    Publication statusPublished - 25 Aug 2003
    Event3rd International Symposium in Modern Optics and its Applications, ISMOA 2003 - Bandung Institute of Technology, Bandung, Indonesia
    Duration: 25 Aug 200329 Aug 2003
    Conference number: 3

    Conference

    Conference3rd International Symposium in Modern Optics and its Applications, ISMOA 2003
    Abbreviated titleISMOA
    CountryIndonesia
    CityBandung
    Period25/08/0329/08/03

    Keywords

    • IOMS-SNS: SENSORS
    • IR-64529
    • IOMS-MIS: MISCELLANEOUS
    • EWI-11560

    Cite this

    Uranus, H. P., Hoekstra, H., & van Groesen, E. W. C. (2003). Galerkin finite element scheme with Bayliss-Gunzburger-Turkel-like boundary conditions for vectorial optical mode solver. 49-49. Paper presented at 3rd International Symposium in Modern Optics and its Applications, ISMOA 2003, Bandung, Indonesia.
    Uranus, H.P. ; Hoekstra, Hugo ; van Groesen, Embrecht W.C. / Galerkin finite element scheme with Bayliss-Gunzburger-Turkel-like boundary conditions for vectorial optical mode solver. Paper presented at 3rd International Symposium in Modern Optics and its Applications, ISMOA 2003, Bandung, Indonesia.1 p.
    @conference{025610e58e6c4996835adeb22d460bc9,
    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-Gunzberger-Turkel-like boundary conditions is formulated to compute both the guided and leaky modes of anisotropic channel waveguides of non-magnetic material with diagonal permitivity tensor. The scheme is formulated using nodal-based transverse components of magnetic fields for quadratic triangular elements. The symmetry and shape of the structure, together with the boundary conditions have been exploited to reduce the size of the computational domain. 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 leaky modes computation of an ARROW structure and a six-hole photonic crystal fiber.",
    keywords = "IOMS-SNS: SENSORS, IR-64529, IOMS-MIS: MISCELLANEOUS, EWI-11560",
    author = "H.P. Uranus and Hugo Hoekstra and {van Groesen}, {Embrecht W.C.}",
    year = "2003",
    month = "8",
    day = "25",
    language = "Undefined",
    pages = "49--49",
    note = "null ; Conference date: 25-08-2003 Through 29-08-2003",

    }

    Uranus, HP, Hoekstra, H & van Groesen, EWC 2003, 'Galerkin finite element scheme with Bayliss-Gunzburger-Turkel-like boundary conditions for vectorial optical mode solver' Paper presented at 3rd International Symposium in Modern Optics and its Applications, ISMOA 2003, Bandung, Indonesia, 25/08/03 - 29/08/03, pp. 49-49.

    Galerkin finite element scheme with Bayliss-Gunzburger-Turkel-like boundary conditions for vectorial optical mode solver. / Uranus, H.P.; Hoekstra, Hugo; van Groesen, Embrecht W.C.

    2003. 49-49 Paper presented at 3rd International Symposium in Modern Optics and its Applications, ISMOA 2003, Bandung, Indonesia.

    Research output: Contribution to conferencePaper

    TY - CONF

    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 - 2003/8/25

    Y1 - 2003/8/25

    N2 - A Galerkin finite element scheme furnished with 1st-order Bayliss-Gunzberger-Turkel-like boundary conditions is formulated to compute both the guided and leaky modes of anisotropic channel waveguides of non-magnetic material with diagonal permitivity tensor. The scheme is formulated using nodal-based transverse components of magnetic fields for quadratic triangular elements. The symmetry and shape of the structure, together with the boundary conditions have been exploited to reduce the size of the computational domain. 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 leaky modes computation of an ARROW structure and a six-hole photonic crystal fiber.

    AB - A Galerkin finite element scheme furnished with 1st-order Bayliss-Gunzberger-Turkel-like boundary conditions is formulated to compute both the guided and leaky modes of anisotropic channel waveguides of non-magnetic material with diagonal permitivity tensor. The scheme is formulated using nodal-based transverse components of magnetic fields for quadratic triangular elements. The symmetry and shape of the structure, together with the boundary conditions have been exploited to reduce the size of the computational domain. 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 leaky modes computation of an ARROW structure and a six-hole photonic crystal fiber.

    KW - IOMS-SNS: SENSORS

    KW - IR-64529

    KW - IOMS-MIS: MISCELLANEOUS

    KW - EWI-11560

    M3 - Paper

    SP - 49

    EP - 49

    ER -

    Uranus HP, Hoekstra H, van Groesen EWC. Galerkin finite element scheme with Bayliss-Gunzburger-Turkel-like boundary conditions for vectorial optical mode solver. 2003. Paper presented at 3rd International Symposium in Modern Optics and its Applications, ISMOA 2003, Bandung, Indonesia.