''iI98 5. Kinematic <strong>Laser</strong> ScanningAfter discussing the influencing parameters in detail,some notes regarding the principle <strong>of</strong> measuringthe time delay At are necessary. For this, a special electronic device was developed,which is controlled viaparallel port (LPT). After initializing the electronic circuit, the time passed between the detection <strong>of</strong> the laserbeam on the start diode <strong>and</strong> on the stop diode is stored. Therefore, the clock generator is based on oscillatorswith different frequencies, i.e.2 MHz, 4 MHz, 8 MHz, <strong>and</strong> 16 MHz. The derived time can be read from theelectronic circuit <strong>and</strong> again a new measurement can be initialized. This procedure is repeated within aloop.The total number <strong>of</strong> time measurements as well as the time gap between each measurement can bedefined manually. The stability <strong>of</strong> the oscillators is given by 50ppm. Since 1 Hz equals 1 /xs, an instabilityin the frequency <strong>of</strong> 50 ppm leads to time variations <strong>of</strong> a single time measurement between 25 /xsfor theoscillator frequency <strong>of</strong> 2 MHz up to 3/xs for the oscillator frequency <strong>of</strong> 16 MHz. Performing repeated timemeasurements, the precision <strong>of</strong> the mean value can be increased significantly up to the desired precisionfor the rotation time T <strong>of</strong> 1 /xs. Further details regarding the electronic circuit are described in Appendix D.ResultsIn general, two independent setups, including several data series, were performed. For each setup, theautocollimation had to be carried out <strong>and</strong> the center anglea had to be derived. First, three data seriesare presented. All data series include 1000 measurements with a time interval <strong>of</strong> 1 s. The frequencyoscillator used was 2 MHz. In Figure 5.8, the detected time delay At corresponding<strong>of</strong> theto the three differentrotation velocities, i.e.12 5 rps, 25 rps, <strong>and</strong> 33 rps, are plotted. As seen, the raw data contains some blunders.The noise can be reduced by applyinga median filter.The result is a smoothed data series from which therotation time T can easily be derived. In the data series, another fact is also visible. The noise present at12 5 rps is much higher than the noise present in 25 rps <strong>and</strong> 33 rps.The reason is in mass inertia. Massinertia leads to higher noise if the rotation is slower. On the contrary, the noise decreases if the rotation isfaster.To exclude systematic effects, the Fourier analysis is appliedsignificant frequencies were present <strong>and</strong> all amplitudes were within 2 /xs. Naturally,eliminated before.on the data series. The results were noall blunders have to be0 0804300 0804200 080410*teffi^raw datamed an filter0 0804000 080390400 500 000# measurements0 0402300 040220raw datamed an filter0 0402100 040200^A/^^r-m. *#*#f#&P^W*.tW^Ce*VW#*"*%ip^jBMt« H^ifÄ**! ï*V*iV#*'«*%TkfÇ#%*500# measurementsraw datamed an filter0 030460*f**v!k*%Jjy 0^k0^. »*v%#Hi*•mWtftf***f***m#^ n»**i$j*$f#k*^ ^•f***" &+4fo+
5.2 Rotation Time <strong>of</strong> Rotating Mirror <strong>of</strong> <strong>Laser</strong> <strong>Scanner</strong> 99Second, a data set is used to verify the precision <strong>of</strong> the electronic circuit. As an example, the angular velocity<strong>of</strong> 25rps is chosen. Table 5.6 shows the reproducibility with different oscillator frequencies.The mean valuefor the time delay At, the precision <strong>of</strong> the mean value am <strong>and</strong> the precision <strong>of</strong> one single measurement asare calculated.Table 5.6:Results <strong>of</strong> the derived mean value based on 1000 measurements for the time delay At accordingangular velocity <strong>of</strong>25rps. Homogeneous results achieved by different oscillator frequenciesOscillator [MHz] At[s] CTm [/xs] as [/xs]2 0.0402071 0.1 2.44 0.0402073 0.1 2.48 0.0402072 0.1 2.616 0.0402070 0.1 2.6can be seen.to theThird, all results achieved by two different <strong>and</strong> independent setups are summarized in Table 5.7, whichcontains the mean values <strong>of</strong> the time delay At, the calculated center angle a, <strong>and</strong> the calculated rotationtime T. The two setups differ at different values for r. The radius r for setup 1 is 1.430 m, <strong>and</strong> the radius forsetup 2 is 2.900 m. The radius can be easilymeasured with the laser scanner in the so-called 'static mode'.The corresponding precision <strong>of</strong> the radius can be specified as sufficiently high with a value <strong>of</strong> ar « 2 mm.Table 5.7: Results <strong>of</strong> the measured time delay At, derived center angletent results for both setups with deviations <strong>of</strong> maximum 2 /xscan be seen.a <strong>and</strong> the calculated rotation time T. Consis¬RPS Setup Time Delay At [s] Center Anglea [°] Rotation Time T [s]12.5 10.0805260.48920.08063520.0804120.99200.08063425 10.0402620.48920.04031720.0402070.99200.04031833 10.0305020.48920.03054320.0304600.99200.030545In Table 5.7, it can be seen that with both setups, equivalent results were achieved. Hence, the desired timeresolution