PMID: 15244703Jul 13, 2004Paper

Optical patterns with different wavelengths

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
G Kozyreff, M Tlidi

Abstract

The semiconductor resonator is an example of an optical system where two modulational instabilities with different wave numbers coexist. In the limit of nascent bistability, the dynamics is generically described by a nonvariational real order parameter equation, of which we give a detailed derivation. This considerably simplifies the linear and weakly nonlinear stability analyses. When the two instabilities are close together, we derive normal form equations and put special emphasis on "envelope" branches of solutions. These particular solutions may connect the two instability points or form an isola. On the basis of these rigorous results, we finally discuss the case of distant modulational instabilities, in both one and two transverse dimensions.

References

Apr 1, 1985·Physical Review A: General Physics·H S Greenside, M C Cross
May 1, 1993·Physical Review. a·P MandelT Erneux
Feb 1, 1996·Physical Review. a·D LeducA Tallet
Aug 1, 1996·Physical Review. a· de Valcárcel GJV J Sánchez-Morcillo
Nov 1, 1996·Physical Review. a·S Longhi, A Geraci
Feb 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·W S Edwards, S Fauve
Feb 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H W Müller
May 25, 1987·Physical Review Letters·L A Lugiato, R Lefever
Nov 28, 1994·Physical Review Letters·J LegaA C Newell
Aug 1, 1994·Physical Review Letters·M TlidiR Lefever
Jun 5, 1995·Physical Review Letters·G DewelC B Price
Mar 4, 1996·Physical Review Letters·W J Firth, A J Scroggie
Sep 16, 2000·Physical Review Letters·R KuszelewiczM Brambilla
Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M TakiM Santagiustina
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Z H Musslimani, L M Pismen
Jan 4, 2001·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·T MaggipintoW J Firth
Nov 3, 2001·Physical Review Letters·J von HardenbergY Zarmi
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O LejeuneP Couteron
Oct 18, 2002·Nature·Stephane BarlandRoland Jäger
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G K HarknessJ M McSloy
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J M McSloyG-L Oppo
Aug 9, 2003·Physical Review Letters·Mustapha Tlidi, Majid Taki
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G KozyreffM Tlidi
Nov 17, 2007·Optics Letters·H WardP Glorieux

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Citations

Jul 16, 2008·Bulletin of Mathematical Biology·Tiina Roose, Andrew C Fowler
Oct 4, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Céline DurniakGregory Kozyreff
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M G ClercS Residori

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