Field patterns in periodically modulated optical parametric amplifiers and oscillators
V. A. Brazhnyi, V. V. Konotop, S. Coulibaly, M. Taki

TL;DR
This paper investigates spatially localized and periodic patterns in periodically modulated optical parametric amplifiers and oscillators, focusing on constructing stationary localized modes and periodic solutions with stability analysis.
Contribution
It introduces a systematic method for constructing stationary localized modes in amplifiers and a technique for designing periodic solutions in oscillators through external field adjustment.
Findings
Developed a systematic method for stationary localized modes
Described a method for constructing periodic solutions in oscillators
Analyzed properties and stability of the localized modes
Abstract
Spatially localized and periodic field patterns in periodically modulated optical parametric amplifiers and oscillators are studied. In the degenerate case (equal signal and idler beams) we elaborate the systematic method of construction of the stationary localized modes in the amplifiers, study their properties and stability. We describe a method of constructing periodic solutions in optical parametric oscillators, by adjusting the form of the external driven field to the given form of either signal or pump beams.
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