1. Stable diffraction-management soliton in a periodic structure with alternating left-handed and right-handed media
- Author
-
Jinggui Zhang
- Subjects
Diffraction ,Physics ,Kerr effect ,Mathematical analysis ,Physics::Optics ,01 natural sciences ,Atomic and Molecular Physics, and Optics ,Schrödinger equation ,010309 optics ,Beamwidth ,symbols.namesake ,Fourier transform ,Amplitude ,Variational method ,Quantum mechanics ,0103 physical sciences ,symbols ,Soliton ,010306 general physics - Abstract
In this paper, we first derive a modified two-dimensional non-linear Schrodinger equation including high-order diffraction (HOD) suitable for the propagation of optical beam near the low-diffraction regime in Kerr non-linear media with spatial dispersion. Then, we apply our derived physical model to a designed two-dimensional configuration filled with alternate layers of a left-handed material (LHM) and a right-handed media by employing the mean-field theory. It is found that the periodic structure including LHM may experience diminished, cancelled, and even reversed diffraction behaviours through engineering the relative thickness between both media. In particular, the variational method analytically predicts that close to the zero-diffraction regime, such periodic structure can support stable diffraction-management solitons whose beamwidth and peak amplitude evolve periodically with the help of HOD effect. Numerical simulation based on the split-step Fourier method confirms the analytical results.
- Published
- 2017