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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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10 2. Components <strong>of</strong> <strong>Terrestrial</strong> <strong>Laser</strong> <strong>Scanner</strong>Figure 2.3: Casing (left) <strong>and</strong> structure (right) <strong>of</strong> a laser diode, adaptedfrom [Hinderung, 2004]<strong>Laser</strong> Beam PropagationThe propagation <strong>of</strong> optical <strong>and</strong> infrared waves can be described by various models These models use basicgeometries, such as [Andrews <strong>and</strong> Phillips, 1998] <strong>and</strong> [Meschede, 2004]• Plane wave An unbounded wave with constant amplitude <strong>and</strong> constant phase A planewave modelis defined as a model in which the phase fronts form parallel planesThis model is used to describethe properties <strong>of</strong> starlight <strong>and</strong> other exo-atmospheric sources at a ground-based receiver• Spherical wave An unbounded wave associated with apoint source The sphericalwave model ischaracterized by concentric spheres forming the phasefronts This model is sometimes used for asmall-aperturesource withm or near turbulent mediums• Gaussian-beam wave A wave <strong>of</strong> finite extent with focusing capabilitiesThis model is used in mostbeam wave analysisThe medium <strong>of</strong> propagation is in most cases the turbulent atmosphere, which changes the conditions per¬manently These fluctuations <strong>of</strong> the atmosphere, which have an influence on the refraction index along thepropagation path <strong>of</strong> the laser beam, cause a variety <strong>of</strong> deleterious effects in the wave, eg disruptioncoherence, broadening <strong>of</strong> the beam, redistribution <strong>of</strong> the beam energy [Andrews <strong>and</strong> Phillips, 1998]Considering diffraction, a natural wave phenomenon <strong>of</strong> all light waves, the propagation<strong>of</strong> the<strong>of</strong> the laser beamis disturbed inmany ways The beam diameter is changed <strong>and</strong> thus, the amount <strong>of</strong> energy within anyspotsize inside the beam diameter deteriorates Theamount <strong>of</strong> beam spreading varies dependingon thewavelength, the shape <strong>of</strong> the phase front, <strong>and</strong> the size <strong>of</strong> the emitting aperture [Andrews <strong>and</strong> Phillips,1998] An estimation on the amount <strong>of</strong> beam spreading at large distances from the beam waist is given bythe beam divergence angle ©_b, cf Figure 2 4 Therefore, the minimum value for the spotsize is assumedto be at the beam waist Beyond the beam waist, the beam diverges according to [Weichel, 1990]WZ=W0\ 1+ ( 2(22)where wz is the beam radius at range z, w0 is the beam waist <strong>and</strong> A is the wavelength The geometrical form<strong>of</strong> the laser footprint can have various forms The most common forms are cyclical <strong>and</strong> ellipticalWithin thefootprints, the irradiance, l e the power per unit, is not uniform but Gaussian, accordingto the Gaussianbeamwave [Andrews <strong>and</strong> Phillips, 1998] The beam divergence is assumed to be linear as defined by thebeam divergence angle Ob Furthermore, the beam diameter also depends on the wavelength

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