An adaptive approach to the numerical solution of Fresnel's wave equation:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1991
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| Schriftenreihe: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC
1991,12 |
| Schlagwörter: | |
| Abstract: | Abstract: "An adaptive approach to the numerical solution of the wave propagation in integrated optics devices with 1D cross sections is described. First, Fresnel's approximation of the exact wave equation resulting from Maxwell's equations is considered. A criterion to estimate the validity of this approximation is derived. Fresnel's wave equation being formally equivalent to Schroedinger's equation uniquely defines an initial-boundary-value-problem, which is solved numerically by a stepwise calculation of the propagating field. Discretization in longitudinal direction first with stepsize control leads to a stationary subproblem for the transversal field distribution, which is then handled by an adaptive finite element method Thus full adaptivity of the algorithm is realized. The numerical examples are concentrated on taper structures playing an essential role in integrated optics devices for telecommunication systems. |
| Umfang: | 48 S. graph. Darst. |
Internformat
MARC
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| 044 | |a gw |c DE | ||
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| 100 | 1 | |a Schmidt, Frank |d 1959- |e Verfasser |0 (DE-588)1079145931 |4 aut | |
| 245 | 1 | 0 | |a An adaptive approach to the numerical solution of Fresnel's wave equation |c F. Schmidt |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1991 | |
| 300 | |a 48 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1991,12 | |
| 520 | 3 | |a Abstract: "An adaptive approach to the numerical solution of the wave propagation in integrated optics devices with 1D cross sections is described. First, Fresnel's approximation of the exact wave equation resulting from Maxwell's equations is considered. A criterion to estimate the validity of this approximation is derived. Fresnel's wave equation being formally equivalent to Schroedinger's equation uniquely defines an initial-boundary-value-problem, which is solved numerically by a stepwise calculation of the propagating field. Discretization in longitudinal direction first with stepsize control leads to a stationary subproblem for the transversal field distribution, which is then handled by an adaptive finite element method | |
| 520 | 3 | |a Thus full adaptivity of the algorithm is realized. The numerical examples are concentrated on taper structures playing an essential role in integrated optics devices for telecommunication systems. | |
| 650 | 4 | |a Optical communications | |
| 650 | 4 | |a Wave equation | |
| 830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1991,12 |w (DE-604)BV004801715 |9 1991,12 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-003493211 | |
Datensatz im Suchindex
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| any_adam_object | |
| author | Schmidt, Frank 1959- |
| author_GND | (DE-588)1079145931 |
| author_facet | Schmidt, Frank 1959- |
| author_role | aut |
| author_sort | Schmidt, Frank 1959- |
| author_variant | f s fs |
| building | Verbundindex |
| bvnumber | BV005578181 |
| ctrlnum | (OCoLC)28155305 (DE-599)BVBBV005578181 |
| format | Book |
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| id | DE-604.BV005578181 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T08:35:34Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003493211 |
| oclc_num | 28155305 |
| open_access_boolean | |
| owner | DE-12 DE-188 |
| owner_facet | DE-12 DE-188 |
| physical | 48 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| spelling | Schmidt, Frank 1959- Verfasser (DE-588)1079145931 aut An adaptive approach to the numerical solution of Fresnel's wave equation F. Schmidt Berlin Konrad-Zuse-Zentrum für Informationstechnik 1991 48 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1991,12 Abstract: "An adaptive approach to the numerical solution of the wave propagation in integrated optics devices with 1D cross sections is described. First, Fresnel's approximation of the exact wave equation resulting from Maxwell's equations is considered. A criterion to estimate the validity of this approximation is derived. Fresnel's wave equation being formally equivalent to Schroedinger's equation uniquely defines an initial-boundary-value-problem, which is solved numerically by a stepwise calculation of the propagating field. Discretization in longitudinal direction first with stepsize control leads to a stationary subproblem for the transversal field distribution, which is then handled by an adaptive finite element method Thus full adaptivity of the algorithm is realized. The numerical examples are concentrated on taper structures playing an essential role in integrated optics devices for telecommunication systems. Optical communications Wave equation Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1991,12 (DE-604)BV004801715 1991,12 |
| spellingShingle | Schmidt, Frank 1959- An adaptive approach to the numerical solution of Fresnel's wave equation Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC Optical communications Wave equation |
| title | An adaptive approach to the numerical solution of Fresnel's wave equation |
| title_auth | An adaptive approach to the numerical solution of Fresnel's wave equation |
| title_exact_search | An adaptive approach to the numerical solution of Fresnel's wave equation |
| title_full | An adaptive approach to the numerical solution of Fresnel's wave equation F. Schmidt |
| title_fullStr | An adaptive approach to the numerical solution of Fresnel's wave equation F. Schmidt |
| title_full_unstemmed | An adaptive approach to the numerical solution of Fresnel's wave equation F. Schmidt |
| title_short | An adaptive approach to the numerical solution of Fresnel's wave equation |
| title_sort | an adaptive approach to the numerical solution of fresnel s wave equation |
| topic | Optical communications Wave equation |
| topic_facet | Optical communications Wave equation |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT schmidtfrank anadaptiveapproachtothenumericalsolutionoffresnelswaveequation |