Journal ArticleDOI
Motion of clusters of weakly coupled two-dimensional cavity solitons
TLDR
In this article, an analysis of weakly coupled two-dimensional spatial optical solitons in a large-aperture class A laser with a saturable absorber is developed.Abstract:
An analysis of clusters of weakly coupled two-dimensional spatial optical solitons in a large-aperture class A laser with a saturable absorber is developed. The symmetries that control the transverse motion of the clusters are described. Numerical solutions of the governing generalized complex Ginzburg-Landau equation demonstrate the existence of four types of clusters of weakly coupled cavity solitons that correspond to symmetries of transverse intensity distributions and energy flows: (1) stationary (with two mirror symmetry axes), (2) rotating about a stationary center of mass (invariant under rotation), (3) translating without rotation (with a single mirror symmetry axis), and (4) asymmetric ones rotating about a center of mass that moves around a circle (with equal periods of rotation and circular motion).read more
Citations
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Journal ArticleDOI
The Theory of Space, Time and Gravitation. By V. Fock. Pp. 411. 100s. 1959. (Pergamon Press)
Journal ArticleDOI
Spatial solitons supported by localized gain in nonlinear optical waveguides
TL;DR: In this article, a modification of the complex Ginzburg-landau (CGL) equation with background linear loss and locally applied gain is introduced, and a solution for pinned solitons is found in an analytical form, with one relation imposed on parameters of the model.
Journal ArticleDOI
Fusion of necklace-ring patterns into vortex and fundamental solitons in dissipative media.
TL;DR: In this paper, the authors demonstrate that necklace-shaped arrays of localized spatial beams can merge into stable fundamental or vortex solitons in a generic model of laser cavities, based on the two-dimensional complex Ginzburg-Landau equation with the cubic-quintic nonlinearity.
Journal ArticleDOI
Solitons pinned to hot spots
TL;DR: In this article, the authors generalize the Ginzburgland-landau (CGL) equation to a model with the Kerr nonlinearity concentrated at the hot spot (HS), together with local gain and possibly with the local nonlinear loss.
Journal ArticleDOI
Motion of complexes of 3D-laser solitons
TL;DR: In this paper, the existence of stable solid-like 3D-dissipative soliton complexes with weak in-phase and antiphase coupling was revealed, whose 3D orientation and motion depend on the ratio of coefficients of spatial and spectral filtering and on the symmetry of distributions of intensity and energy flows in complexes.
References
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Book
Optical solitons : from fibers to photonic crystals
TL;DR: In this article, the authors introduce spatial and temporal solitons in photonic crystals, and introduce the concept of Incoherent Solitons, which is a subclass of the spatial and temporally soliton.
Journal ArticleDOI
The theory of space, time and gravitation
TL;DR: In this article, a key input circuit is described where the key input signal is serialized and applied directly and through a circulating register working with a certain delay time to one gate for transmitting the direct input signal and to another gate to transmit the output of the register utilizing the other signal as an inhibitation signal.
Journal ArticleDOI
The Theory of Space, Time and Gravitation. By V. Fock. Pp. 411. 100s. 1959. (Pergamon Press)
Book
Spatial Hysteresis and Optical Patterns
TL;DR: In this article, the physics of distributed bistability of optical patterns and their application in digital optical computing are discussed. But, the authors focus on the effect of different types of optical pattern on the performance of different kinds of optical flow.