TY - GEN
T1 - Strong Enhancement of Interaction of Optical Pulses Induced by Oscillatory Instability
AU - Turaev, D.
AU - Vladimirov, A. G.
AU - Zelik, S.
PY - 2009/6/14
Y1 - 2009/6/14
N2 - In this presentation, interaction of stationary and pulsating localized structures of light in active and passive optical devices is studied analytically and numerically. Being close enough to each other, optical pulses interact via decaying tails. Interference between the tails can produce intensity oscillations responsible for the formation of pulse bound states. Using an asymptotic approach we derive and analyze a set of ordinary differential equations governing the slow time evolution of the parameters of individual pulses, such as their coordinates, optical and oscillation phases. Being independent of specific details of the model, the form of these "interaction equations" is determined mainly by the asymptotic behavior of the pulse tails and the symmetries of the model equations. They have a universal nature and can be used to study interaction of temporal or spatial localized structures not only in optical, but also in hydrodynamic, plasma, and even biological systems.
AB - In this presentation, interaction of stationary and pulsating localized structures of light in active and passive optical devices is studied analytically and numerically. Being close enough to each other, optical pulses interact via decaying tails. Interference between the tails can produce intensity oscillations responsible for the formation of pulse bound states. Using an asymptotic approach we derive and analyze a set of ordinary differential equations governing the slow time evolution of the parameters of individual pulses, such as their coordinates, optical and oscillation phases. Being independent of specific details of the model, the form of these "interaction equations" is determined mainly by the asymptotic behavior of the pulse tails and the symmetries of the model equations. They have a universal nature and can be used to study interaction of temporal or spatial localized structures not only in optical, but also in hydrodynamic, plasma, and even biological systems.
UR - http://www.scopus.com/inward/record.url?scp=70449558171&partnerID=8YFLogxK
M3 - Conference contribution
SN - 9781424440801
T3 - Optics InfoBase Conference Papers
BT - European Conference on Lasers and Electro-Optics and the European Quantum Electronics Conference
PB - Optical Society of America
T2 - CLEO/Europe - EQEC 2009 - European Conference on Lasers and Electro-Optics and the European Quantum Electronics Conference
Y2 - 14 June 2009 through 19 June 2009
ER -