Iterative solution of the eigenvalue problem for a dielectric waveguide:
Abstract: "We present a numerical approach to the simulation of dielectric waveguides that is free of spurious modes and is based on the solution of an eigenvalue problem for the two transverse components of the magnetic field. We introduce a new discretization which has several computational a...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Urbana, Ill.
1991
|
| Schriftenreihe: | Center for Supercomputing Research and Development <Urbana, Ill,>: CSRD report
1119 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "We present a numerical approach to the simulation of dielectric waveguides that is free of spurious modes and is based on the solution of an eigenvalue problem for the two transverse components of the magnetic field. We introduce a new discretization which has several computational advantages. In particular, by careful design of the discretization procedure we obtain systems of equations for the two components which are equivalent in the sense that a rotation over 90 degrees corresponds to a suitable permutation of indices. The eigenvalue problem is solved iteratively by using an adapted version of the Chebyshev- Arnoldi algorithm This approach takes full advantage of the sparsity of the matrix and circumvents the large memory requirements and the large computational complexity associated with dense methods. This allows us to employ meshes that are sufficiently fine to resolve higher modes without large discretization errors. |
| Beschreibung: | 20 Bl. |
Internformat
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| 100 | 1 | |a Galick, Albert T. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Iterative solution of the eigenvalue problem for a dielectric waveguide |c Albert T. Galick, Thomas Kerkhoven, and Umberto Ravaioli |
| 264 | 1 | |a Urbana, Ill. |c 1991 | |
| 300 | |a 20 Bl. | ||
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| 490 | 1 | |a Center for Supercomputing Research and Development <Urbana, Ill,>: CSRD report |v 1119 | |
| 520 | 3 | |a Abstract: "We present a numerical approach to the simulation of dielectric waveguides that is free of spurious modes and is based on the solution of an eigenvalue problem for the two transverse components of the magnetic field. We introduce a new discretization which has several computational advantages. In particular, by careful design of the discretization procedure we obtain systems of equations for the two components which are equivalent in the sense that a rotation over 90 degrees corresponds to a suitable permutation of indices. The eigenvalue problem is solved iteratively by using an adapted version of the Chebyshev- Arnoldi algorithm | |
| 520 | 3 | |a This approach takes full advantage of the sparsity of the matrix and circumvents the large memory requirements and the large computational complexity associated with dense methods. This allows us to employ meshes that are sufficiently fine to resolve higher modes without large discretization errors. | |
| 650 | 4 | |a Eigenvalues | |
| 650 | 4 | |a Wave equation | |
| 700 | 1 | |a Kerkhoven, Thomas |e Verfasser |4 aut | |
| 700 | 1 | |a Ravaioli, Umberto |e Verfasser |4 aut | |
| 830 | 0 | |a Center for Supercomputing Research and Development <Urbana, Ill,>: CSRD report |v 1119 |w (DE-604)BV008930033 |9 1119 | |
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Datensatz im Suchindex
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| author | Galick, Albert T. Kerkhoven, Thomas Ravaioli, Umberto |
| author_facet | Galick, Albert T. Kerkhoven, Thomas Ravaioli, Umberto |
| author_role | aut aut aut |
| author_sort | Galick, Albert T. |
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| bvnumber | BV008992780 |
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| id | DE-604.BV008992780 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:28:08Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005941699 |
| oclc_num | 25761844 |
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| owner_facet | DE-29T |
| physical | 20 Bl. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| record_format | marc |
| series | Center for Supercomputing Research and Development <Urbana, Ill,>: CSRD report |
| series2 | Center for Supercomputing Research and Development <Urbana, Ill,>: CSRD report |
| spelling | Galick, Albert T. Verfasser aut Iterative solution of the eigenvalue problem for a dielectric waveguide Albert T. Galick, Thomas Kerkhoven, and Umberto Ravaioli Urbana, Ill. 1991 20 Bl. txt rdacontent n rdamedia nc rdacarrier Center for Supercomputing Research and Development <Urbana, Ill,>: CSRD report 1119 Abstract: "We present a numerical approach to the simulation of dielectric waveguides that is free of spurious modes and is based on the solution of an eigenvalue problem for the two transverse components of the magnetic field. We introduce a new discretization which has several computational advantages. In particular, by careful design of the discretization procedure we obtain systems of equations for the two components which are equivalent in the sense that a rotation over 90 degrees corresponds to a suitable permutation of indices. The eigenvalue problem is solved iteratively by using an adapted version of the Chebyshev- Arnoldi algorithm This approach takes full advantage of the sparsity of the matrix and circumvents the large memory requirements and the large computational complexity associated with dense methods. This allows us to employ meshes that are sufficiently fine to resolve higher modes without large discretization errors. Eigenvalues Wave equation Kerkhoven, Thomas Verfasser aut Ravaioli, Umberto Verfasser aut Center for Supercomputing Research and Development <Urbana, Ill,>: CSRD report 1119 (DE-604)BV008930033 1119 |
| spellingShingle | Galick, Albert T. Kerkhoven, Thomas Ravaioli, Umberto Iterative solution of the eigenvalue problem for a dielectric waveguide Center for Supercomputing Research and Development <Urbana, Ill,>: CSRD report Eigenvalues Wave equation |
| title | Iterative solution of the eigenvalue problem for a dielectric waveguide |
| title_auth | Iterative solution of the eigenvalue problem for a dielectric waveguide |
| title_exact_search | Iterative solution of the eigenvalue problem for a dielectric waveguide |
| title_full | Iterative solution of the eigenvalue problem for a dielectric waveguide Albert T. Galick, Thomas Kerkhoven, and Umberto Ravaioli |
| title_fullStr | Iterative solution of the eigenvalue problem for a dielectric waveguide Albert T. Galick, Thomas Kerkhoven, and Umberto Ravaioli |
| title_full_unstemmed | Iterative solution of the eigenvalue problem for a dielectric waveguide Albert T. Galick, Thomas Kerkhoven, and Umberto Ravaioli |
| title_short | Iterative solution of the eigenvalue problem for a dielectric waveguide |
| title_sort | iterative solution of the eigenvalue problem for a dielectric waveguide |
| topic | Eigenvalues Wave equation |
| topic_facet | Eigenvalues Wave equation |
| volume_link | (DE-604)BV008930033 |
| work_keys_str_mv | AT galickalbertt iterativesolutionoftheeigenvalueproblemforadielectricwaveguide AT kerkhoventhomas iterativesolutionoftheeigenvalueproblemforadielectricwaveguide AT ravaioliumberto iterativesolutionoftheeigenvalueproblemforadielectricwaveguide |