Abstract
Wave Packets of Mandelbrot Type in Boundary Problems of Quantum Mechanics
Highlights
In physics studied the nonlinear interaction of light which can mimic the physics at so called an event horizon
As shown in a study [1], this analogue arises when a weak probe wave is unable to pass through an intense soliton, despite propagating at a different velocity”. These dynamics arises as a soliton-induced refractive index barrier
The intensity of light depends on the fibre refractive index
Summary
In physics studied the nonlinear interaction of light which can mimic the physics at so called an event horizon. We consider the opposite problem when the optical medium is ideal or linear, but boundaries of the medium have the nonlinear optic properties, and describes, for example, the all-optical transistor [2]. It may be a case when a bright soliton is passing through the soliton. The simulation is described by the hyperbolic type equations which models an evolution of amplitude of electric field A(x, t) [7] These equations depends on the dispersion coefficients and on the nonlinear interaction coefficient of the fibre, depending on A(x, t), where x is a coordinate of a beam and t is the time.
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