Solitons in two-dimensional lattices possessing defects, dislocations, and quasicrystal structures.
نویسندگان
چکیده
Localized nonlinear modes, or solitons, are obtained for the two-dimensional nonlinear Schrödinger equation with various external potentials that possess large variations from periodicity, i.e., vacancy defects, edge dislocations, and quasicrystal structure. The solitons are obtained by employing a spectral fixed-point computational scheme. Investigation of soliton evolution by direct numerical simulations shows that irregular-lattice solitons can be stable, unstable, or undergo collapse.
منابع مشابه
Two-dimensional Solitons in Irregular Lattice Systems
Solitons are localized nonlinear waves and occur in many branches of physics. Their properties have provided a deep and fundamental understanding of complex nonlinear systems. In recent years, there has been considerable interest in studying solitons in systems with periodic potentials or lattices, in particular, those that can be generated in nonlinear optical materials [1]–[5]. In periodic la...
متن کاملDiscrete solitons and soliton-induced dislocations in partially coherent photonic lattices.
We investigate both experimentally and theoretically the interaction between a light beam and a photonic lattice optically induced with partially coherent light. We demonstrate a clear transition from two-dimensional discrete diffraction to discrete solitons in such a partially coherent lattice and show that the nonlinear interaction process is associated with a host of new phenomena including ...
متن کاملOptically-induced reconfigurable photonic lattices for linear and nonlinear control of light
Linear and nonlinear periodic systems are abundant in nature. In optics, a typical example is a closelyspaced waveguide array, in which collective behavior of wave propagation exhibits many intriguing phenomena that have no counterpart in homogeneous media. Even in a linear waveguide array, the diffraction property of a light beam changes due to evanescent Correspondence/Reprint request: Dr. Zh...
متن کاملTopological Solitons in Discrete Space-Time as the Model of Fermions
In the present work we discuss arguments in favour of the view that massive fermions represent dislocations (i.e. topological solitons) in discrete space-time, with Burgers vectors parallel to the axis of time. If we assume that the symmetrical parts of tensors of distortions (i.e. derivatives of atomic displacements on coordinates) and the mechanical stresses are equal to zero, then the equati...
متن کاملSurface solitons in two-dimensional quadratic photonic lattices
Two-dimensional surface solitons have been recently predicted to exist as novel types of discrete solitons localized in the corners or at the edges of two-dimensional photonic lattices. These theoretical predictions were followed by the experimental observation of twodimensional surface solitons in optically-induced photonic lattices and waveguide arrays laser-written in fused silica. Important...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 74 3 Pt 2 شماره
صفحات -
تاریخ انتشار 2006