Instability in degenerate two-photon running wave laser with detuning

Two-photon laser dynamics

“…A continuous and smooth deformation of the border between the subcritical and supercritical domains can be appreciated and it tends to increase the domain of stable orbits. It can also be appreciated that instabilities can be observed for cavity losses below the bad cavity condition as 5 is increased, as already stated by Ning [11].Notice also how the asymptote o. , cannot be trespassed, as commented above.…”

“…They extended the previous results of Ovadia and Sargent, pointing out the direction of the Hopf bifurcation in Ref. [10].They also considered the influence of cavity detuning [11],studied the stability of the Hopf orbits [12], and did a preliminary study of the phase dynamics [13]. Recently, Concannon and Gauthier [14] 1).…”

“…In Sec. III A we resume the linear stability since it was treated in detail [5,6,10,11].In Sec. III B we study the stability of the Hopf orbits paying particular attention to the influence of y and ing the density of atoms) than a three-level twophoton laser (see later in Sec.…”

“…4). With respect to the influence of b, on rHn (previous y d b Nin[11]with the effective Hamiltonian model it was shown that the instability domain tends to increase wi increasing an i c d t an be proven that the asymptote o. , remains unaltered. For yW 1 there is an asymmetry of bot ro and rHB with respect to positive and negative 6 (Fig.…”