Some Remarks on Nonlinear Properties of Pumping System of an Optical-Wavelength Acoustic Laser (Phaser)

TL;DR

This paper analytically investigates the nonlinear dynamics of a pumping system in an optical-wavelength acoustic laser, revealing critical surfaces and Lyapunov instability conditions relevant for experimental interpretations.

Contribution

It introduces new analytical critical surfaces for a 3D vectorial model and identifies conditions for Lyapunov instability in the pumping system of a phaser.

Findings

Critical surfaces for bistable pumping system derived

Lyapunov instability possible at high Qc/Qm ratio

Implications for interpreting experimental data on ruby phasers

Abstract

New critical surfaces have been analytically found for a 3D vectorial model of bistable pumping system of an optical-wavelength acoustic laser (phaser). The Lyapunov instability is possible for this pumping system at the upper branch for a high quality factor Qc of a pump resonator: Qc/Qm >> 1, where Qm is the magnetic quality factor. This instability is of great interest for interpretaion of some experimental data on the optical-wavelength ruby phaser (see our previous papers arXiv:cond-mat/0303188, arXiv:cond-mat/0402640, arXiv:0704.0123, arXiv:0901.0449).