4.6 Solutions of Nonlinear DEs of Fourth Order and Second
Order for the Laser
4.6.1 Results on Nonlinear DE Solution of Fourth Order
for the Laser Model
Results of DEs solution (4.37) for the QWLD model in the quasi-stationary mode in
the dipole approximation foe different values of the gain in the positive feedback
loop (or different pumping values) are presented in Figs. 4.21 and 4.22. At that, the
polynomial coefficients of the characteristic equations are: а 00 ¼ 1, а 10 ¼ 0.01,
а 20 ¼ 2.0001, а 30 ¼ 0.01, а 40 ¼ 1.0001, (1) K 00 ¼ 0.5; (2) G n00 ¼ 0.01.
These figures allow the following conclusions.
40
20
0
1)
2)
3)
magnitude (dB)
phase (degrees)
-20
-40
400
300
200
100
0
0.01
0.1
frequency
1m
1
-1
1
2
1
2
Re
2
2
1
1
1
1 0
0.01
0.1
1
10
Fig. 4.20 The module
(1) and the argument (2) of
the oscillating
characteristics (the curve 1)
and the laser inertial
nonlinearity (the curve 2)
and its loci
4.6 Solutions of Nonlinear DEs of Fourth Order and Second Order for the Laser
177