Temporal dynamics of a ring dye laser with a stimulated Brillouin scattering mirror

Abstract

We present a numerical study of the temporal dynamics of a stimulated Brillouin scattering ring resonator. A coaxial flash-lamp-pumped Rh6G dye laser is assumed. The influence of the most important parameters on the temporal evolution of the resonator is analyzed, namely, the acoustic decay time of the nonlinear material, the features of the external injection pulse - its pulse width, energy, and spatial quality - and the coupling mirror reflectivity. We found the conditions to initiate and maintain laser oscillation in the ring resonator as long as the duration of the pumping system pulse persisted.

Duffing spatial dynamics induced in a double phase-conjugated resonator

“…This work shows one way in which light beam spatial dynamics can be modeled according to a Duffing map when a controller device is introduced in a laser resonator. The conditions imposed on the control device for the beam to obey Duffing map dynamics are discussed [8][9][10]. The Duffing map is an iterative map and as such, any given state is always determined by the previous one [11].…”

Optical resonators and dynamic maps

“…One of them is to use the SBS reflection as one of the cavity mirrors of a laser resonator to form a socalled linear phase conjugate resonator [10], however ring-phase conjugate resonators are also possible [11]. The theoretical model of an OPC laser in transient operation [12] considers the temporal and spatial dynamic of the input field the Stokes field and the acoustic-wave amplitude in the SBS cell. On the other hand the spatial mode analysis of a laser may be carried out using transfer matrices, also know as ABCD matrices, which are a useful mathematical tool when studying the propagation of light rays through complex optical systems.…”

Dynamic maps in phase-conjugated optical resonators

“…The main approach in SBS phase conjugate lasers is to use the SBS reflection as one of the cavity mirrors of a laser resonator to form a so-called linear phase conjugate resonator [10], however ringphase conjugate resonators are also possible [11]. The theoretical model of an OPC laser in transient operation [12] considers the temporal and spatial dynamics of the input field E P (z,t), the Stokes field E S (z,t) and the acoustic-wave amplitude Q(z,t) in the SBS cell. On the other hand the spatial mode analysis of a laser may be carried out using transfer matrices, also known as ABCD matrices, which are a useful mathematical tool when studying the propagation of light rays through complex optical systems because they provide a simple way to obtain the final key characteristics (position and angle) of the ray.…”