Abstract
We study the effects produced by walk-off and cavity induced polarization coupling in the process of pattern formation in a type-II optical parametric oscillator (OPO). Walk-off generates a convectively unstable regime in which intensity patterns sustained by noise are produced. An absolute unstable regime is also present. In this regime a competition between two traveling waves of different wavelength takes place. The presence of a birefringent and/or dichroic mirror produces homogeneous phase locked solutions separated by Domain Walls similar to Bloch walls in magnetic systems. The spontaneous motion of these walls around point defects produces persistent spatio-temporal states.
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References
Permanent address: Departamento de Física, FCEyN, Universidad Nacional de Mar del Plata, Argentina. Member of CONICET (Argentine).
http://www.imedea.uib.es/PhysDept
Lugiato, L. A., Brambilla, M. and Gatti, A. (1999) Optical Pattern Formation, Advances in Atomic Molecular and Optical Physics, vol. 40, 229–306.
Oppo, G-L., Brambilla, M. and Lugiato, L. A. (1994) Formation and evolution of roll patterns in optical parametric oscillators, Phys. Rev. A 49, 2028–2032.
Vaupel, M., Maitre, A. and Fabre, C. (1999) Observation of Pattern Formation in Optical Parametric Oscillators Phys. Rev. Lett. 83, 5278–5281.
Santagiustina, M., Colet, P., San Miguel, M. and Walgraef, D. (1997) Noise-sustained convective structures in nonlinear optics, Phys. Rev. Lett. 79, 3633–3636.
Santagiustina, M., Colet, P., San Miguel, M. and Walgraef, D. (1998) Two-dimensional noise-sustained structures in optical parametric oscillators, Phys. Rev. E 58, 3843–3853.
Izús, G., Santagiustina, M., San Miguel, M. and Colet, P. (1999) Pattern formation in the presence of walk-off for a type II optical parametric oscillator, J. Opt. Soc. Am. B 16, 1592–1596.
Izús, G., Santagiustina, M. and San Miguel, M. (2000) Bloch Domain Walls in Type-II Optical Parametric Oscillators, Optics Letters 25, 1454–1456.
Fabre, C, Mason, E. J. and Wong, N. C. (1999) Theoretical analysis of self-phase locking in a type-II phase matched optical parametric oscillator, Optics Communications 170, 299–307.
Gatti, A., Wiedemann, H., Lugiato, L. A., Marzoli, L, Oppo, G. L. and Barnett, S. M. (1997) Langevin treatment of quantum fluctuations and optical patterns in optical parametric oscillator below threshold, Phys. Rev. A 56, 877–897.
Longhi, S. (1996) Traveling-wave states and secondary instabilities in optical parametric oscillators, Phys. Rev. A 53, 4488–4499.
Deissler, R. J. (1985) Noise-sustained structure, intermittency and the Guinzburg-Landau equation, J. Stat. Phys. 40, 371–395; (1989) External noise and the origin and dynamics of structure in convectively unstable systems, J. Stat. Phys. 54, 1459-1488.
Coullet, P., Lega, J., Houchmanzadeh, B. and Lajzerowicz, J. (1990) Breaking Chirality in Nonequilibrium Systems, Phys. Rev. Lett. 65, 1352–1355.
Permanent address: Departamento de Física, FCEyN, Universidad Nacional de Mar del Plata, Argentina. Member of CONICET (Argentine).
http://www.imedea.uib.es/PhysDept
Lugiato, L. A., Brambilla, M. and Gatti, A. (1999) Optical Pattern Formation, Advances in Atomic Molecular and Optical Physics, vol. 40, 229–306.
Oppo, G-L., Brambilla, M. and Lugiato, L. A. (1994) Formation and evolution of roll patterns in optical parametric oscillators, Phys. Rev. A 49, 2028–2032.
Vaupel, M., Maitre, A. and Fabre, C. (1999) Observation of Pattern Formation in Optical Parametric Oscillators Phys. Rev. Lett. 83, 5278–5281.
Santagiustina, M., Colet, P., San Miguel, M. and Walgraef, D. (1997) Noise-sustained convective structures in nonlinear optics, Phys. Rev. Lett. 79, 3633–3636.
Santagiustina, M., Colet, P., San Miguel, M. and Walgraef, D. (1998) Two-dimensional noise-sustained structures in optical parametric oscillators, Phys. Rev. E 58, 3843–3853.
Izús, G., Santagiustina, M., San Miguel, M. and Colet, P. (1999) Pattern formation in the presence of walk-off for a type II optical parametric oscillator, J. Opt. Soc. Am. B 16, 1592–1596.
Izús, G., Santagiustina, M. and San Miguel, M. (2000) Bloch Domain Walls in Type-II Optical Parametric Oscillators, Optics Letters 25, 1454–1456.
Fabre, C, Mason, E. J. and Wong, N. C. (1999) Theoretical analysis of self-phase locking in a type-II phase matched optical parametric oscillator, Optics Communications 170, 299–307.
Gatti, A., Wiedemann, H., Lugiato, L. A., Marzoli, L, Oppo, G. L. and Barnett, S. M. (1997) Langevin treatment of quantum fluctuations and optical patterns in optical parametric oscillator below threshold, Phys. Rev. A 56, 877–897.
Longhi, S. (1996) Traveling-wave states and secondary instabilities in optical parametric oscillators, Phys. Rev. A 53, 4488–4499.
Deissler, R. J. (1985) Noise-sustained structure, intermittency and the Guinzburg-Landau equation, J. Stat. Phys. 40, 371–395; (1989) External noise and the origin and dynamics of structure in convectively unstable systems, J. Stat. Phys. 54, 1459-1488.
Coullet, P., Lega, J., Houchmanzadeh, B. and Lajzerowicz, J. (1990) Breaking Chirality in Nonequilibrium Systems, Phys. Rev. Lett. 65, 1352–1355.
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Izús, G., Santagiustina, M., San Miguel, M., Colet, P. (2001). Transverse Patterns in Type-II Optical Parametric Oscillators. In: Abdullaev, F., Bang, O., Sørensen, M.P. (eds) Nonlinearity and Disorder: Theory and Applications. NATO Science Series, vol 45. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0542-5_26
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DOI: https://doi.org/10.1007/978-94-010-0542-5_26
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