phase synchronization
The purpose of this supplement is to provide the direct outcomes of the proposed procedure for the three examples investigated in the main body of the paper. The exit probabilities from the safe subset $(-pi/2, \pi/2)$ are computed according to the numerical result of our proposed procedure of each power line. The proposed procedure is not shown in detail but referred to as the reference [55] in the reference list of the first part which is from page 1 to page 26 of this PDF document.
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For Lissajous scanning the synchronization of both axis is crucial. The laser beam is deflected vertically by the first MEMS mirror, redirected to the second mirror and deflected horizontally. In the proposed master slave concept, the synchronization controller Φ compensates for relative phase errors by duty cycle adjustments while individual PLLs keep each MEMS mirror stabilized. This videos show how the projected grid and center pixel drifts if the synchroniaztion controller between both MEMS mirrors with individual PLLs is turned off.
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