Bogdanov Map for Modelling a Phase-Conjugated Ring Resonator
In this paper, we propose using paraxial matrix optics to describe a ring-phase conjugated resonator that includes an intracavity chaos-generating element; this allows the system to behave in phase space as a Bogdanov Map. Explicit expressions for the intracavity chaos-generating matrix elements wer...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-04-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/21/4/384 |
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| author | Vicente Aboites David Liceaga Rider Jaimes-Reátegui Juan Hugo García-López |
| author_facet | Vicente Aboites David Liceaga Rider Jaimes-Reátegui Juan Hugo García-López |
| author_sort | Vicente Aboites |
| collection | DOAJ |
| description | In this paper, we propose using paraxial matrix optics to describe a ring-phase conjugated resonator that includes an intracavity chaos-generating element; this allows the system to behave in phase space as a Bogdanov Map. Explicit expressions for the intracavity chaos-generating matrix elements were obtained. Furthermore, computer calculations for several parameter configurations were made; rich dynamic behavior among periodic orbits high periodicity and chaos were observed through bifurcation diagrams. These results confirm the direct dependence between the parameters present in the intracavity chaos-generating element. |
| first_indexed | 2024-12-10T06:48:39Z |
| format | Article |
| id | doaj.art-51fe19bdd6af4a51984509731a387707 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-12-10T06:48:39Z |
| publishDate | 2019-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-51fe19bdd6af4a51984509731a3877072022-12-22T01:58:36ZengMDPI AGEntropy1099-43002019-04-0121438410.3390/e21040384e21040384Bogdanov Map for Modelling a Phase-Conjugated Ring ResonatorVicente Aboites0David Liceaga1Rider Jaimes-Reátegui2Juan Hugo García-López3Centro de Investigaciones en Óptica, Loma del Bosque 115, 37150 León, MexicoDivisión de Ciencias e Ingenierías, Universidad de Guanajuato, Loma del Bosque 107, 37150 León, MexicoCentro Universitario de los Lagos, Universidad de Guadalajara, Enrique Diaz de León 1144, Paseos de la Montaña, Lagos de Moreno, 47460 Jalisco, MexicoCentro Universitario de los Lagos, Universidad de Guadalajara, Enrique Diaz de León 1144, Paseos de la Montaña, Lagos de Moreno, 47460 Jalisco, MexicoIn this paper, we propose using paraxial matrix optics to describe a ring-phase conjugated resonator that includes an intracavity chaos-generating element; this allows the system to behave in phase space as a Bogdanov Map. Explicit expressions for the intracavity chaos-generating matrix elements were obtained. Furthermore, computer calculations for several parameter configurations were made; rich dynamic behavior among periodic orbits high periodicity and chaos were observed through bifurcation diagrams. These results confirm the direct dependence between the parameters present in the intracavity chaos-generating element.https://www.mdpi.com/1099-4300/21/4/384spatial dynamicsBogdanov Mapchaoslaserresonator |
| spellingShingle | Vicente Aboites David Liceaga Rider Jaimes-Reátegui Juan Hugo García-López Bogdanov Map for Modelling a Phase-Conjugated Ring Resonator Entropy spatial dynamics Bogdanov Map chaos laser resonator |
| title | Bogdanov Map for Modelling a Phase-Conjugated Ring Resonator |
| title_full | Bogdanov Map for Modelling a Phase-Conjugated Ring Resonator |
| title_fullStr | Bogdanov Map for Modelling a Phase-Conjugated Ring Resonator |
| title_full_unstemmed | Bogdanov Map for Modelling a Phase-Conjugated Ring Resonator |
| title_short | Bogdanov Map for Modelling a Phase-Conjugated Ring Resonator |
| title_sort | bogdanov map for modelling a phase conjugated ring resonator |
| topic | spatial dynamics Bogdanov Map chaos laser resonator |
| url | https://www.mdpi.com/1099-4300/21/4/384 |
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