Finite difference scheme for planar waveguides with arbitrary index profiles and its implementation for anisotropic waveguides with diagonal permitivity tensor

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

    Research output: Contribution to conferencePaper

    31 Downloads (Pure)

    Abstract

    Finite difference scheme with uniform mesh for planar waveguides with arbitrary refractive index profiles that take full account of any smooth index variation and index discontinuity was derived for TE and TM-polarized waves. Second-order accurate discretizations for TE, first- and second-order accurate for TM at index discontinuities around interfaces between segments of different index profiles are presented. At the computational boundaries, transparent boundary conditions have been used. The scheme was implemented for anisotropic waveguides with diagonal permitivity tensor and examined by using samples with various refractive index profiles, ranging from simple step- and graded-index up to complicated refractive index profile waveguide structures composed of either isotropic or anisotropic materials. For simple cases where the results of other methods are available in the literature, the proposed scheme shows very good agreement.
    Original languageUndefined
    Pages42-42
    Number of pages1
    Publication statusPublished - 5 Apr 2002
    Event10th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2002 - Nottingham, United Kingdom
    Duration: 5 Apr 20026 Apr 2002
    Conference number: 10
    https://www.owtnm-workshop.org/

    Workshop

    Workshop10th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2002
    Abbreviated titleOWTNM
    CountryUnited Kingdom
    CityNottingham
    Period5/04/026/04/02
    Internet address

    Keywords

    • IOMS-MIS: MISCELLANEOUS
    • IOMS-SNS: SENSORS
    • IR-64532
    • EWI-11563

    Cite this

    Uranus, H. P., Hoekstra, H., & van Groesen, E. W. C. (2002). Finite difference scheme for planar waveguides with arbitrary index profiles and its implementation for anisotropic waveguides with diagonal permitivity tensor. 42-42. Paper presented at 10th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2002, Nottingham, United Kingdom.
    Uranus, H.P. ; Hoekstra, Hugo ; van Groesen, Embrecht W.C. / Finite difference scheme for planar waveguides with arbitrary index profiles and its implementation for anisotropic waveguides with diagonal permitivity tensor. Paper presented at 10th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2002, Nottingham, United Kingdom.1 p.
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    abstract = "Finite difference scheme with uniform mesh for planar waveguides with arbitrary refractive index profiles that take full account of any smooth index variation and index discontinuity was derived for TE and TM-polarized waves. Second-order accurate discretizations for TE, first- and second-order accurate for TM at index discontinuities around interfaces between segments of different index profiles are presented. At the computational boundaries, transparent boundary conditions have been used. The scheme was implemented for anisotropic waveguides with diagonal permitivity tensor and examined by using samples with various refractive index profiles, ranging from simple step- and graded-index up to complicated refractive index profile waveguide structures composed of either isotropic or anisotropic materials. For simple cases where the results of other methods are available in the literature, the proposed scheme shows very good agreement.",
    keywords = "IOMS-MIS: MISCELLANEOUS, IOMS-SNS: SENSORS, IR-64532, EWI-11563",
    author = "H.P. Uranus and Hugo Hoekstra and {van Groesen}, {Embrecht W.C.}",
    year = "2002",
    month = "4",
    day = "5",
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    note = "null ; Conference date: 05-04-2002 Through 06-04-2002",
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    Uranus, HP, Hoekstra, H & van Groesen, EWC 2002, 'Finite difference scheme for planar waveguides with arbitrary index profiles and its implementation for anisotropic waveguides with diagonal permitivity tensor' Paper presented at 10th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2002, Nottingham, United Kingdom, 5/04/02 - 6/04/02, pp. 42-42.

    Finite difference scheme for planar waveguides with arbitrary index profiles and its implementation for anisotropic waveguides with diagonal permitivity tensor. / Uranus, H.P.; Hoekstra, Hugo; van Groesen, Embrecht W.C.

    2002. 42-42 Paper presented at 10th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2002, Nottingham, United Kingdom.

    Research output: Contribution to conferencePaper

    TY - CONF

    T1 - Finite difference scheme for planar waveguides with arbitrary index profiles and its implementation for anisotropic waveguides with diagonal permitivity tensor

    AU - Uranus, H.P.

    AU - Hoekstra, Hugo

    AU - van Groesen, Embrecht W.C.

    PY - 2002/4/5

    Y1 - 2002/4/5

    N2 - Finite difference scheme with uniform mesh for planar waveguides with arbitrary refractive index profiles that take full account of any smooth index variation and index discontinuity was derived for TE and TM-polarized waves. Second-order accurate discretizations for TE, first- and second-order accurate for TM at index discontinuities around interfaces between segments of different index profiles are presented. At the computational boundaries, transparent boundary conditions have been used. The scheme was implemented for anisotropic waveguides with diagonal permitivity tensor and examined by using samples with various refractive index profiles, ranging from simple step- and graded-index up to complicated refractive index profile waveguide structures composed of either isotropic or anisotropic materials. For simple cases where the results of other methods are available in the literature, the proposed scheme shows very good agreement.

    AB - Finite difference scheme with uniform mesh for planar waveguides with arbitrary refractive index profiles that take full account of any smooth index variation and index discontinuity was derived for TE and TM-polarized waves. Second-order accurate discretizations for TE, first- and second-order accurate for TM at index discontinuities around interfaces between segments of different index profiles are presented. At the computational boundaries, transparent boundary conditions have been used. The scheme was implemented for anisotropic waveguides with diagonal permitivity tensor and examined by using samples with various refractive index profiles, ranging from simple step- and graded-index up to complicated refractive index profile waveguide structures composed of either isotropic or anisotropic materials. For simple cases where the results of other methods are available in the literature, the proposed scheme shows very good agreement.

    KW - IOMS-MIS: MISCELLANEOUS

    KW - IOMS-SNS: SENSORS

    KW - IR-64532

    KW - EWI-11563

    M3 - Paper

    SP - 42

    EP - 42

    ER -

    Uranus HP, Hoekstra H, van Groesen EWC. Finite difference scheme for planar waveguides with arbitrary index profiles and its implementation for anisotropic waveguides with diagonal permitivity tensor. 2002. Paper presented at 10th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2002, Nottingham, United Kingdom.