TY - JOUR
T1 - Feasibility of controlling complex dynamics in multi transverse mode lasers
AU - Martin, R.
AU - Kent, A. J.
AU - D'Alessandro, G.
AU - Oppo, G. L.
N1 - Funding Information:
We gratefully acknowledgeF . Mitschke and R. Roy for useful suggestionsa nd the financial support provided by E.P.S.R.C. (grant no. GR/J/30998).
PY - 1996/6/1
Y1 - 1996/6/1
N2 - We show that a Periodic Proportional Feedback (PPF) method can he successfully applied to the multi-transverse mode laser. We have simulated the laser by integrating the Maxwell-Bloch equations with the electric field projected onto the empty cavity Gauss-Laguerre modes. By applying the PPF technique to chaotic dynamics of low dimension density, we can control periodic orbits which differ only slightly from the unstable periodic orbits of the system, via modulation of the cavity losses and pump parameters, both for the cylindrically symmetric laser and for the case where the symmetry is removed. Our results show that although various periodic orbits can be controlled temporally, pattern selection (i.e. spatio-temporal control) needs more elaborate techniques.
AB - We show that a Periodic Proportional Feedback (PPF) method can he successfully applied to the multi-transverse mode laser. We have simulated the laser by integrating the Maxwell-Bloch equations with the electric field projected onto the empty cavity Gauss-Laguerre modes. By applying the PPF technique to chaotic dynamics of low dimension density, we can control periodic orbits which differ only slightly from the unstable periodic orbits of the system, via modulation of the cavity losses and pump parameters, both for the cylindrically symmetric laser and for the case where the symmetry is removed. Our results show that although various periodic orbits can be controlled temporally, pattern selection (i.e. spatio-temporal control) needs more elaborate techniques.
KW - multi transverse mode lasers
KW - Periodic Proportional Feedback (PPF)
KW - Maxwell-Bloch equations
KW - pump parameters
KW - spatio-temporal control
UR - http://www.scopus.com/inward/record.url?scp=0030164216&partnerID=8YFLogxK
U2 - 10.1016/0030-4018(96)00110-1
DO - 10.1016/0030-4018(96)00110-1
M3 - Article
AN - SCOPUS:0030164216
SN - 0030-4018
VL - 127
SP - 161
EP - 170
JO - Optics Communications
JF - Optics Communications
IS - 1-3
ER -