The Existence and Persistence of Large Spatial - amazonia.fiocruz.br

This is because their spectral contents correspond to optical frequency combs which are sources with a spectrum consisting of millions of equally spaced laser lines. An example of such an optical cavity is shown in Fig.

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Here is the normalized slowly-varying envelope of the intracavity field, is the input field, and is the detuning parameter. The Persisrence diffraction is described by the Laplace operator acting on the transverse plane. The time corresponds to the slow-time evolution of over successive round-trips, whereas accounts for the fast time in a reference frame traveling at the group velocity of light in the Kerr medium.

We consider the case of anomalous dispersion regime as indicated by the sign in front of the second derivative with respect to. The purpose of this Letter is to use Eq.

Here we characterise these 3D solutions in Kerr media by constructing their bifurcation diagram and determine their range of stability. This diagram exhibits multi-stability, which clearly indicates that clustering phenomenon belongs to a homoclinic snaking type of bifurcation.

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When increasing the injected field power, we observe transition via period doubling to a complex dynamical regime. From these two characteristics we can infer that this complex behavior belongs to the class of rogue waves. Bounded states of LBs and rogue waves in three-dimensional settings have neither been experimentally observed nor theoretically predicted. We address here the theoretical side for the realization of dissipative optical bullets.

The homogeneous stationary solutions of LLE,are given by. Forthe transmitted intensity as a function of the input intensity is single-valued, whereas bistability occurs for.

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At this bifurcation point, the wavelength of 3D patterns is. This analysis allows one to determine the Persistene of 3D periodic structures which are solutions of Eq. Https://amazonia.fiocruz.br/scdp/blog/purdue-owl-research-paper/get-that-dream-novel-on-paper.php analysis has revealed the predominance of the body-centered-cubic lattice structure BCC over other three-dimensional periodic structures such as face-centered-cubic or hexagonally packed cylinders.]