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Fundamentals of Laser Dynamics in .NET Encoder ean13+2 in .NET Fundamentals of Laser Dynamics web.net barcode

Fundamentals of Laser Dynamics using none todeploy none for asp.net web,windows applicationasp.net barcode generation Fig.5.15.

Frequencies (a) a none none nd damping rates (b) of relaxation oscillations as a function of phase nonreciprocity in the vicinity of the intersection point of branches . Web application framework 1 and A: G = 5000; A = 1.2; r = 0.02 .

Fig.5.16 (right).

Phase diagram of a ring laser in NR, NR plane: G = 5000; A = 1.2; A = 0.4; r = 0.

005; 0 = 0; = 0.6; / = 1.3; = 0; 0 = 0.

173.. sign of phase nonreciprocit none for none y. This property is apparent only if the gain line is asymmetric with respect to the laser frequency, as in the case of two-component gain line. If the relaxation oscillation frequency is followed by moving along the stability boundary in the phase diagram, then the result is the curve ( NR) presented in Fig.

5.18 [439]. The main feature of this dependence is the smooth transition from one branch of relaxation oscillations ( A) to another ( B) at point NR = 0.

5.2.7 Frequency Dynamics of a Bidirectional Ring Laser According to Eq.

(5.11), the ring laser for r = 0 has two equivalent steady states in the form of travelling waves. The phases of the time-independent solutions are given by the expressions.

& =. G ( 0 + ) , c 2 which determine their frequencies & = 0 + ~ . In the absence of phase non reciprocity these formulas offer the same frequency shift from c toward 0 for the two single mode solutions because of the. Multimode Lasers with Quasi-Frequency-Degenerate Modes Spectral density of intensity fluctuation, arb. units f, kHz Fig.5.17.

Experimental spec tra of the intensity fluctuations of a ring Nd:YAG laser below (a) and above (b) instability threshold of stationary generation [174, 436].. Fig.5.18.

Plot of the depen none for none dence of the relaxation oscillation frequency on phase nonreciprocity to illustrate the smoothness of the transition from branch A to branch B at point NR = 0. The dip on the plot corresponds to the point of intersection of branches A and 1 [439]..

linear frequency pulling. T he behaviour of frequencies under self-modulation of the second kind, which arises for 0 > cr , can be investigated by numerical integration of Eqs. (5.

9) [440]. Figure 5.19 shows the behaviour of the wave intensities.

Fundamentals of Laser Dynamics and frequencies in the abse nce of nonreciprocity and scattering ( NR = r = 0 ). It is seen that as the direction is changed, the laser frequency retains its position corresponding to the steady-state single-mode solution. At the time when the wave becomes strong it forces the competing counterrunning wave to a position further from the line centre.

The frequency difference is A ( B ) until the weak wave reaches a minimum in its intensity. At this moment its frequency changed by A + B , so that the weak wave (while it is growing) is closer to the line centre than the strong wave. A and B are the frequencies of phase sensitive relaxation oscillations of the ring laser.

These frequencies coincide in the absence of phase nonreciprocity. Note also that both waves have completely equal rights and each wave dominates exactly half the self-modulation period. According to [440], nonzero phase nonreciprocity produces a dominant wave, the duration of which exceeds half the self-modulation period (Fig.

5.20). Simultaneously, the symmetry is broken in the frequency dynamics.

In Fig. 5.20b it is seen that the laser frequency is closer to the line centre during the time interval when the dominant wave is strong (dashed line).

In this case A B and A B = G NR/2. Switching of the weak wave frequency by A + B is nonmonotonic. It is preceded by growth of oscillations near the initial frequency.

The frequency damping is ended by damped oscillations near the new value. The frequencies of the transient oscillations found by numerical computation coincide with A + B . It should be mentioned that a particular combina-.

Fig.5.19.

Time dependence o none for none f (a) intensities and (b) frequencies of the counter-running waves of a ring laser operated in self-modulation regime of the second kind in the absence of phase nonreciprocity G = 5000; A = 4, 0; r = 0; 0 = 0, 1; NR = 0 [440]. 214.
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