Nonlinear analysis of pattern formation in singly resonant second-harmonic generation
نویسنده
چکیده
A weakly nonlinear multiple-scales analysis is performed for singly resonant second-harmonic generation. Coupled amplitude equations are derived that describe pattern formation above the transverse instability threshold. The amplitude equations explain the absence of roll patterns and are in good agreement with numerical results. Ó 2000 Elsevier Science B.V. All rights reserved. PACS: 42.65.Sf; 42.65.Ky
منابع مشابه
Considerably Enhanced Second-Harmonic Generation in Resonant U-Shaped Nano-Structures
In this paper, we perform a detailed study of the spectral response of the gold U-shaped nano-structures for different geometrical parameters and polarizations in order to obtain significant localization factor in the wavelength 1.55 μm. The obtained near-field distribution of electric fields reveals that resonances in these nano-structures correspond to the even and odd plasmonic modes dependi...
متن کاملPattern formation in singly resonant second-harmonic generation with competing parametric oscillation
We theoretically investigate the generation of spatial patterns in intracavity second-harmonic generation. We consider a cavity with planar mirrors that is resonant at the fundamental frequency, but not at the secondharmonic frequency. A mean-field model is derived that describes the resonant fundamental field, and its coupling to a pair of nondegenerate parametric fields. The parametric fields...
متن کاملWalk-Off-Induced Modulation Instability, Temporal Pattern Formation, and Frequency Comb Generation in Cavity-Enhanced Second-Harmonic Generation.
We derive a time-domain mean-field equation to model the full temporal and spectral dynamics of light in singly resonant cavity-enhanced second-harmonic generation systems. We show that the temporal walk-off between the fundamental and the second-harmonic fields plays a decisive role under realistic conditions, giving rise to rich, previously unidentified nonlinear behavior. Through linear stab...
متن کاملEinstein-Podolsky-Rosen correlations in second-harmonic generation
A quantum model for singly resonant second-harmonic generation in a cavity with transverse degrees of freedom is analyzed. An instability threshold for pattern formation exists in this system. Below threshold, a strong modulation of the noise is demonstrated in the transverse structure of the far field. The performed analysis encompasses both oneand two-point correlation functions. The noise in...
متن کاملSqueezed singly resonant second-harmonic generation in periodically poled lithium niobate
We determine the theoretical singly resonant second-harmonic generation squeezing performance of several cavity designs and nonlinear materials. We show that, for the doubling of the 1064-nm output of Nd:YAG lasers, monolithic cavities made from periodically poled LiNbO3 (PPLN) will produce the largest amount of squeezing. We also present experimental results for a free-space cavity with a PPLN...
متن کامل