Nonlinear photonic crystals: IV. Nonlinear Schrödinger equation regime
نویسندگان
چکیده
منابع مشابه
A Universal Asymptotic Regime in the Hyperbolic Nonlinear Schrödinger Equation
The appearance of a fundamental long-time asymptotic regime in the two space one time dimensional hyperbolic nonlinear Schrödinger (HNLS) equation is discussed. Based on analytical and extensive numerical simulations an approximate self-similar solution is found for a wide range of initial conditions – essentially for initial lumps of small to moderate energy. Even relatively large initial ampl...
متن کاملIntegrable nonlocal nonlinear Schrödinger equation.
A new integrable nonlocal nonlinear Schrödinger equation is introduced. It possesses a Lax pair and an infinite number of conservation laws and is PT symmetric. The inverse scattering transform and scattering data with suitable symmetries are discussed. A method to find pure soliton solutions is given. An explicit breathing one soliton solution is found. Key properties are discussed and contras...
متن کاملPeriodic Nonlinear Schrödinger Equation with Application to Photonic Crystals
We present basic results, known and new, on nontrivial solutions of periodic stationary nonlinear Schrödinger equations. We also sketch an application to nonlinear optics and discuss some open problems.
متن کاملRadially symmetric nonlinear photonic crystals
Different types of quadratic, radially symmetric, nonlinear photonic crystals are presented. The modulation of the nonlinear coefficient may be a periodic or an aperiodic function of the radial coordinate, whereas the azimuthal symmetry of the crystal may be either continuous or discrete. Nonlinear interactions within these structures are studied in two orientations, transverse and longitudinal...
متن کاملBarrier transmission for the Nonlinear Schrödinger Equation : Engineering nonlinear transport
In this communication we report on a peculiar property of barrier transmission that systems governed by the nonlinear Schrödinger equation share with the linear one: For unit transmission the potential can be divided at an arbitrary point into two sub-potentials, a left and a right one, which have exactly the same transmission. This is a rare case of an exact property of a nonlinear wave functi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Waves in Random and Complex Media
سال: 2005
ISSN: 1745-5030,1745-5049
DOI: 10.1080/17455030500196929