Interaction of two modulational instabilities in a semiconductor resonator.
The interaction of two neighboring modulational instabilities in a coherently driven semiconductor cavity is investigated. First, an asymptotic reduction of the general equations is performed in the limit of a nearly vertical input-output characteristic. Next, a normal form is derived in the limit w...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2003
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| _version_ | 1797103172624318464 |
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| author | Kozyreff, G Chapman, S Tlidi, M |
| author_facet | Kozyreff, G Chapman, S Tlidi, M |
| author_sort | Kozyreff, G |
| collection | OXFORD |
| description | The interaction of two neighboring modulational instabilities in a coherently driven semiconductor cavity is investigated. First, an asymptotic reduction of the general equations is performed in the limit of a nearly vertical input-output characteristic. Next, a normal form is derived in the limit where the two instabilities are close to one other. An infinity of branches of periodic solutions are found to emerge from the unstable portion of the homogeneous branch. These branches have a nontrivial envelope in the bifurcation diagram that can either smoothly join the two instability points or form an isolated branch of solutions. |
| first_indexed | 2024-03-07T06:16:19Z |
| format | Journal article |
| id | oxford-uuid:f13171ef-2ce2-4ea1-8b67-20dcb48d9d47 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:16:19Z |
| publishDate | 2003 |
| record_format | dspace |
| spelling | oxford-uuid:f13171ef-2ce2-4ea1-8b67-20dcb48d9d472022-03-27T11:54:12ZInteraction of two modulational instabilities in a semiconductor resonator.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f13171ef-2ce2-4ea1-8b67-20dcb48d9d47EnglishSymplectic Elements at Oxford2003Kozyreff, GChapman, STlidi, MThe interaction of two neighboring modulational instabilities in a coherently driven semiconductor cavity is investigated. First, an asymptotic reduction of the general equations is performed in the limit of a nearly vertical input-output characteristic. Next, a normal form is derived in the limit where the two instabilities are close to one other. An infinity of branches of periodic solutions are found to emerge from the unstable portion of the homogeneous branch. These branches have a nontrivial envelope in the bifurcation diagram that can either smoothly join the two instability points or form an isolated branch of solutions. |
| spellingShingle | Kozyreff, G Chapman, S Tlidi, M Interaction of two modulational instabilities in a semiconductor resonator. |
| title | Interaction of two modulational instabilities in a semiconductor resonator. |
| title_full | Interaction of two modulational instabilities in a semiconductor resonator. |
| title_fullStr | Interaction of two modulational instabilities in a semiconductor resonator. |
| title_full_unstemmed | Interaction of two modulational instabilities in a semiconductor resonator. |
| title_short | Interaction of two modulational instabilities in a semiconductor resonator. |
| title_sort | interaction of two modulational instabilities in a semiconductor resonator |
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