Averaged equations for injection locked semiconductor lasers
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| Title: | Averaged equations for injection locked semiconductor lasers |
|---|---|
| Authors: | Nizette, Michel1, Erneux, Thomas1 terneux@ulb.ac.be, Gavrielides, Athanasios2, Kovanis, Vassilios2 |
| Source: | Physica D. Jan2002, Vol. 161 Issue 3/4, p220. 17p. |
| Subjects: | Bifurcation theory, Equations, Nonlinear oscillators, Hopf algebras |
| Abstract: | An averaging method valid for strongly nonlinear oscillators is used for the first time to describe the pulsating intensity regimes of semiconductor lasers subject to injection. Slow-time equations are derived which are valid for solutions of arbitrary amplitude. These averaged equations do not require the knowledge of a particular bifurcation point and are a good starting point for further analysis. Bifurcation points to periodic or quasiperiodic intensity oscillations are determined analytically by exploring certain limits of the parameters. Finally, we illustrate the strength and weakness of these expressions by comparing bifurcation diagrams obtained from the averaged equations and from the original laser equations. [Copyright &y& Elsevier] |
| Copyright of Physica D is the property of Elsevier B.V. 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 |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 7742233 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Averaged equations for injection locked semiconductor lasers – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Nizette%2C+Michel%22">Nizette, Michel</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Erneux%2C+Thomas%22">Erneux, Thomas</searchLink><relatesTo>1</relatesTo><i> terneux@ulb.ac.be</i><br /><searchLink fieldCode="AR" term="%22Gavrielides%2C+Athanasios%22">Gavrielides, Athanasios</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Kovanis%2C+Vassilios%22">Kovanis, Vassilios</searchLink><relatesTo>2</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Physica+D%22">Physica D</searchLink>. Jan2002, Vol. 161 Issue 3/4, p220. 17p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Bifurcation+theory%22">Bifurcation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Equations%22">Equations</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+oscillators%22">Nonlinear oscillators</searchLink><br /><searchLink fieldCode="DE" term="%22Hopf+algebras%22">Hopf algebras</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: An averaging method valid for strongly nonlinear oscillators is used for the first time to describe the pulsating intensity regimes of semiconductor lasers subject to injection. Slow-time equations are derived which are valid for solutions of arbitrary amplitude. These averaged equations do not require the knowledge of a particular bifurcation point and are a good starting point for further analysis. Bifurcation points to periodic or quasiperiodic intensity oscillations are determined analytically by exploring certain limits of the parameters. Finally, we illustrate the strength and weakness of these expressions by comparing bifurcation diagrams obtained from the averaged equations and from the original laser equations. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Physica D is the property of Elsevier B.V. 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.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/S0167-2789(01)00375-X Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 17 StartPage: 220 Subjects: – SubjectFull: Bifurcation theory Type: general – SubjectFull: Equations Type: general – SubjectFull: Nonlinear oscillators Type: general – SubjectFull: Hopf algebras Type: general Titles: – TitleFull: Averaged equations for injection locked semiconductor lasers Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Nizette, Michel – PersonEntity: Name: NameFull: Erneux, Thomas – PersonEntity: Name: NameFull: Gavrielides, Athanasios – PersonEntity: Name: NameFull: Kovanis, Vassilios IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 01 Text: Jan2002 Type: published Y: 2002 Identifiers: – Type: issn-print Value: 01672789 Numbering: – Type: volume Value: 161 – Type: issue Value: 3/4 Titles: – TitleFull: Physica D Type: main |
| ResultId | 1 |
