Phase model analysis of two lasers with injected field

被引:22
作者
Khibnik, AI
Braiman, Y
Kennedy, TAB
Wiesenfeld, K
机构
[1] Cornell Univ, Ctr Theory, Ithaca, NY 14853 USA
[2] Russian Acad Sci, Inst Math Problems Biol, Pushchino 142292, Moscow Region, Russia
[3] Emory Univ, Dept Phys, Atlanta, GA 30322 USA
[4] Georgia Inst Technol, Sch Phys, Atlanta, GA 30332 USA
来源
PHYSICA D | 1998年 / 111卷 / 1-4期
关键词
laser array; phase entrainment; Torus flow; bifurcation diagram; singular perturbations;
D O I
10.1016/S0167-2789(97)80017-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the dynamics of two coupled solid state lasers subject to an injected field. A singular perturbation technique is used to reduce the full set of rate equations; we present a comprehensive bifurcation analysis of the resulting phase model. We find four distinct routes to full entrainment as the injected field amplitude increases; bifurcation diagram predicts that the entrainment (reflected in the total intensity) does not monotonically improve with the injected field strength. Our numerical simulations suggest that the reduced phase model captures the relevant dynamics well beyond the asymptotic regime in which it is derived.
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页码:295 / 310
页数:16
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