SPATIOTEMPORAL EFFECTS IN DOUBLE-PHASE CONJUGATION

Citation
Mr. Belic et al., SPATIOTEMPORAL EFFECTS IN DOUBLE-PHASE CONJUGATION, Journal of the Optical Society of America. B, Optical physics, 12(9), 1995, pp. 1602-1616
Citations number
27
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Optics
ISSN journal
0740-3224
Volume
12
Issue
9
Year of publication
1995
Pages
1602 - 1616
Database
ISI
SICI code
0740-3224(1995)12:9<1602:SEIDC>2.0.ZU;2-L
Abstract
Spatial and temporal effects arising in photorefractive crystals durin g the process of double phase conjugation are analyzed numerically wit h a novel beam-propagation method. Slowly varying envelope wave equati ons in the paraxial approximation are solved under the appropriate bou ndary conditions. Our analysis includes dynamical effects caused by th e buildup of diffraction gratings in the crystal and the turn-on of ph ase-conjugate beams as well as spatial effects caused by the finite tr ansverse spread of beams and by the propagation directions of the beam s. Various phenomena are observed, such as self-bending of phase-conju gate beams, convective flow of energy out of the interaction region, m ode oscillations, critical slowing down at the oscillation threshold, and irregular spatial pattern formation. For a real beam-coupling cons tant and constructive interaction of interference fringes in the cryst al we find steady or periodic behavior. For a complex coupling constan t and/or induced phase mismatch in the grating a transition to spatiot emporal chaos is observed. We believe that under stable operating cond itions the transverse double phase-conjugate mirror in the paraxial ap proximation is a convective oscillator, rather than an amplifier. Impr oved agreement with experimental results is obtained.