Stability Condition of a Haken-Lorentz Equation with Self-Feedback Light Field

Abstract:

A Haken-Lorentz equation with self-feedback light field as well as its stability condition were gained through a series of mathematic process, and the stability judgements of the equation under 6 groups of parameters were gained using the stability condition, then a MATLAB simulation was carried out on the equation and the movement orbits of the equation were gained. It shows that when the stability condition gives a stable judgement, the movement orbit in the mathematic simulation is a single helix ends in a stable point, which shows that the simulation results are stable too; when the stability condition gives an unstable judgement, the movement orbits in the mathematic simulation are two chaotic helixes, which shows that the simulation results are unstable too. The judgements which result from the stability condition are consistent with the MATLAB simulation judgements, which shows that this stability condition can be a criterion of the Haken-Lorentz equation with self-feedback light field in some parameter ranges.

• Periodical: Advanced Materials Research (Volumes 760-762)
• Pages: 3-7
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.760-762.3
• Online since: September 2013
• Authors: Li Cheng Sun, Zheng Wu
• Keywords: Haken-Lorentz Equation, Laser Dynamics, Self-Feedback, Stability Condition

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