Performance analysis of faber polynomial based local propagators for photonics: Performance analysis of faber polynomial based local propagators...: W. Plotnikov and D. Schulz.
Saved in:
| Title: | Performance analysis of faber polynomial based local propagators for photonics: Performance analysis of faber polynomial based local propagators...: W. Plotnikov and D. Schulz. |
|---|---|
| Authors: | Plotnikov, Wladimir1 (AUTHOR) wladimir.plotnikov@tu-dortmund.de, Schulz, Dirk1 (AUTHOR) dirk2.schulz@tu-dortmund.de |
| Source: | Optical & Quantum Electronics. Mar2025, Vol. 57 Issue 3, p1-20. 20p. |
| Subjects: | Matrix exponential, Electromagnetic wave propagation, Finite differences, Polynomial time algorithms, Spatial resolution |
| Abstract: | The computation of the propagation of an electromagnetic wave in the time domain is examined using local Faber polynomial based time dependent propagators. Conventionally, the whole computational domain is evaluated by one global operator. Contrary, when utilizing a nonuniform discretization in the system local operators can be used individually for each subarea. This allows the complexity to be reduced by decreasing the polynomial order of the evaluation of the Faber algorithm, while at the same time decreasing the overall runtime. Compared to common Local Time Step methods, the time step size of each individual area with this approach is already synchronized with a predefined global time step size. In general, the investigated approach is especially interesting for applications that demand a high spatial resolution, such as in the field of nanophotonics and THz-technology. However, the influence of the necessary process steps on the runtime must be examined in particular when computing with the local operators approach. To this end, the theoretical complexity is derived and compared with practical results to analyze the efficiency. [ABSTRACT FROM AUTHOR] |
| Copyright of Optical & Quantum Electronics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
|
Full text is not displayed to guests.
Login for full access.
|
|
| FullText | Links: – Type: pdflink Text: Availability: 1 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 184303571 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Performance analysis of faber polynomial based local propagators for photonics: Performance analysis of faber polynomial based local propagators...: W. Plotnikov and D. Schulz. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Plotnikov%2C+Wladimir%22">Plotnikov, Wladimir</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> wladimir.plotnikov@tu-dortmund.de</i><br /><searchLink fieldCode="AR" term="%22Schulz%2C+Dirk%22">Schulz, Dirk</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> dirk2.schulz@tu-dortmund.de</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Optical+%26+Quantum+Electronics%22">Optical & Quantum Electronics</searchLink>. Mar2025, Vol. 57 Issue 3, p1-20. 20p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Matrix+exponential%22">Matrix exponential</searchLink><br /><searchLink fieldCode="DE" term="%22Electromagnetic+wave+propagation%22">Electromagnetic wave propagation</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+differences%22">Finite differences</searchLink><br /><searchLink fieldCode="DE" term="%22Polynomial+time+algorithms%22">Polynomial time algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Spatial+resolution%22">Spatial resolution</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The computation of the propagation of an electromagnetic wave in the time domain is examined using local Faber polynomial based time dependent propagators. Conventionally, the whole computational domain is evaluated by one global operator. Contrary, when utilizing a nonuniform discretization in the system local operators can be used individually for each subarea. This allows the complexity to be reduced by decreasing the polynomial order of the evaluation of the Faber algorithm, while at the same time decreasing the overall runtime. Compared to common Local Time Step methods, the time step size of each individual area with this approach is already synchronized with a predefined global time step size. In general, the investigated approach is especially interesting for applications that demand a high spatial resolution, such as in the field of nanophotonics and THz-technology. However, the influence of the necessary process steps on the runtime must be examined in particular when computing with the local operators approach. To this end, the theoretical complexity is derived and compared with practical results to analyze the efficiency. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Optical & Quantum Electronics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=184303571 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s11082-025-08072-9 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 20 StartPage: 1 Subjects: – SubjectFull: Matrix exponential Type: general – SubjectFull: Electromagnetic wave propagation Type: general – SubjectFull: Finite differences Type: general – SubjectFull: Polynomial time algorithms Type: general – SubjectFull: Spatial resolution Type: general Titles: – TitleFull: Performance analysis of faber polynomial based local propagators for photonics: Performance analysis of faber polynomial based local propagators...: W. Plotnikov and D. Schulz. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Plotnikov, Wladimir – PersonEntity: Name: NameFull: Schulz, Dirk IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 03068919 Numbering: – Type: volume Value: 57 – Type: issue Value: 3 Titles: – TitleFull: Optical & Quantum Electronics Type: main |
| ResultId | 1 |
