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Calibration of a Terrestrial Laser Scanner - Institute of Geodesy and ...

Calibration of a Terrestrial Laser Scanner - Institute of Geodesy and ...

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2.1 Distance <strong>and</strong> Reflectance Measurement System 11Concerning terrestrial laser scanners, the spotbeam waist <strong>and</strong> the range.size <strong>of</strong> the laser beam is afunction <strong>of</strong> the wavelength, theThe minimum spot size is not at the emitting laser diode but also somewherealong the path <strong>of</strong> the laser beam. But, the beam waist can be shifted along the path by means <strong>of</strong> focussingin order to minimize the spot size according to the object range.Beam Waist7Figure 2.4: Beam waist <strong>and</strong> divergence angle <strong>of</strong> a laser beam according to [Andrews <strong>and</strong> Phillips, 1998].Refraction, Scintillation <strong>and</strong> DispersionAn electromagnetic wave, which propagates through a r<strong>and</strong>om medium, e.g. the atmosphere,is influencedby varying conditions, e.g. temperature, pressure, humidity. Thus, propagation characteristics change withrespect to the geometry <strong>and</strong> the intensity. The varying geometry is caused by refraction, which makesthe beam move or quiver. The beam propagation is no longer a straight line but a curve. In addition,the variation in the intensity <strong>of</strong> the laser beam caused by the varying atmosphere isFurthermore, these intensity fluctuations are affected by optical turbulence.Opticalcalled scintillation.turbulence can bedefined as the fluctuations in the refractive index resulting from atmospheric turbulence [Bel<strong>and</strong>, 1993].Another effect is known as dispersion. Dispersion here is defined as the dependence <strong>of</strong> the propagationvelocity on the wavelength.4Since each laser light consists <strong>of</strong> a narrow spectrum, which is so close thatthe laser light can be considered monochromatic, the propagation velocity is defined by the group velocity<strong>of</strong> differing frequencies or wavelengths. Consequently, a grouprefractive coefficient must be considered.Depending on the group refractive coefficient, the distance to be measured has to be corrected <strong>and</strong> this isknown as the first velocity correction.Further details concerning atmospheric influences on the propaga¬tion <strong>of</strong> electromagnetic waves can be found in [Joeckel <strong>and</strong> Stober, 1991] <strong>and</strong> [Rüeger, 1996].The described influences are relatively small for short ranges <strong>and</strong> can be neglected. However, for long rangelaser scanners covering distances <strong>of</strong> up to several hundreds <strong>of</strong> meters, the influences due to the atmosphere<strong>and</strong> the refractive index have to be taken into account. They affect the distances in a systematic way <strong>and</strong>cause methodological errors.<strong>Laser</strong> SafetyDue to power density, most lasers are dangerous <strong>and</strong> can cause damage to the skin or the eyes. Dependingon the wavelength <strong>of</strong> the laser, different elements <strong>of</strong> the eyesare affected. <strong>Laser</strong>s are generally catego¬rized into four classes according to the laser's ability to cause damage to the eyes.The eye transmissioncan be seen in Figure 2.5. For the visible area <strong>and</strong> some infrared frequencies, the eyecharacteristic <strong>of</strong> nearly100 %.has a transmissionThe classification procedure <strong>of</strong> lasers is carried out in a specific setup as defined in [IEC, 2001]. The laserbeam is focused on anaperture located in a predefined distance. A detector is placed justbehind the4Dispersion is used in different ways: For example, in optics, dispersion is the separation <strong>of</strong> a wave into its spectral componentsdepending on the wavelength

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