laser emission, the strength is exposed to the periodic oscillation. It is important to
note that in the presence in the upper half-plane of the single singular point, the laser
self-excitation condition is satisfied and, hence, the excitation occurs in the soft
manner. This conclusion can be extended to the case of the arbitrary odd number of
nontrivial singular points. The generation is impossible if the isoclinic lines F 1 (N L )
and F 2 (E L ) are not intercepted. If the number of singular points is even (at presence
of two singular intercepted points), the OEO self-excitation condition cannot be
Fig. 5.3 The scenario of OEO excitation in the single-frequency mode at activation of pumping.
The scenario of the transient process in OEO and in the laser. The constant pumping level
J 0 ¼ 30 mA. Activation of pumping occurs in the time moment t ¼ 0. Time-functions of normalized
values: (а) the population difference N (10
18 1/cm
3
), (b) the normalized square of strength
(E)
2 ¼ (E 0L )
2
, (1.0 point ¼ 1 mW), (c) AC component of pumping current, (d) the normalized
square of strength (E)
2 ¼ (E 0L )
2
, (1 point ¼ 1 mW) at initial part [0,50], (e) the time diagram (the
phase portrait) (E)
2 ¼ (E 0L )
2
, N 0 . (f) The time diagram (the phase portrait) (E)
2 ¼ (E 0L )
2
, N 0 . The
transient process is presented with the exit to the limit cycle on the time diagram E 0L , N 0 . The scale
on the time axis t: 5 points ¼ 0.1 ns. The setting time for the laser oscillations is 40 points (or 0.8 ns).
The setting time of OEO RF oscillations is on the time axis t 50–250 points (or 40 ns)
5.3 Dynamics of Transients in ОЕО DM and the Oscillation Amplitude
229
note that in the presence in the upper half-plane of the single singular point, the laser
self-excitation condition is satisfied and, hence, the excitation occurs in the soft
manner. This conclusion can be extended to the case of the arbitrary odd number of
nontrivial singular points. The generation is impossible if the isoclinic lines F 1 (N L )
and F 2 (E L ) are not intercepted. If the number of singular points is even (at presence
of two singular intercepted points), the OEO self-excitation condition cannot be
Fig. 5.3 The scenario of OEO excitation in the single-frequency mode at activation of pumping.
The scenario of the transient process in OEO and in the laser. The constant pumping level
J 0 ¼ 30 mA. Activation of pumping occurs in the time moment t ¼ 0. Time-functions of normalized
values: (а) the population difference N (10
18 1/cm
3
), (b) the normalized square of strength
(E)
2 ¼ (E 0L )
2
, (1.0 point ¼ 1 mW), (c) AC component of pumping current, (d) the normalized
square of strength (E)
2 ¼ (E 0L )
2
, (1 point ¼ 1 mW) at initial part [0,50], (e) the time diagram (the
phase portrait) (E)
2 ¼ (E 0L )
2
, N 0 . (f) The time diagram (the phase portrait) (E)
2 ¼ (E 0L )
2
, N 0 . The
transient process is presented with the exit to the limit cycle on the time diagram E 0L , N 0 . The scale
on the time axis t: 5 points ¼ 0.1 ns. The setting time for the laser oscillations is 40 points (or 0.8 ns).
The setting time of OEO RF oscillations is on the time axis t 50–250 points (or 40 ns)
5.3 Dynamics of Transients in ОЕО DM and the Oscillation Amplitude
229