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Feedback Controlyzer DigiLock 110 Figure 46 AutoLock Display while the Lock is active. The yellow scatter plot indicates signal input and regulator output (PID 2) Parameter optimization: To obtain a “good“ lock it is necessary to increase the gain settings of the PID controllers to the highest possible values without oscillations (see Paragraph 9 for details). The RMS error value in the right panel quantifies the residual excursions of the laser. As PID 2 is only responsible for the low frequency components, this controller can be left at moderate gains. The performance of the lock is predominantly determined by the settings of PID 1 connected to the fast actuator (Mod input of the DLpro). A helpful tool in the optimization process is the Spectrum display (see Figure 47). Here the result of the Fourier transformation of the sampled time signal is shown. In our case select <Main in> as CH 1. The frequency scale must be chosen according to the bandwidths of the experiment. Typical bandwidth of the gratings are in the range of a few kHz while the DC modulation input has bandwidths of a few 100 kHz to MHz. Turn off the DC component of CH 1 because normally a high DC offset dominates and therefore small signal amplitudes may not be observed. Alternatively, the autoscale option can be deactivated and an appropriate amplitude range chosen by setting the upper bound of the y-axis (see Paragraph 8.1) to resolve all peaks in the frequency spectrum as desired. Figure 47 Spectrum Display of the Photodiode Signal at <Main in> In this example the frequency analysis clearly shows the onset of an oscillation at about 650 kHz due to high gain settings. To improve the lock performance you can now increase the gain of the I, P and D parts of the PID in turn to values well below the point at which the control loop starts to oscillate. The general strategy for optimizing the P, I and D parameters is described in Paragraph 9.3. Page 58 Status: 27.5.13