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14 October 2005 Characterization of a general astigmatic laser beam by measuring its ten second order moments
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The well tested and accepted ISO standard 111461 provides the measurement procedure to characterize the propagation properties of stigmatic and simple astigmatic laser beams which are intrinsically symmetric. The beam diameters are defined by the second order moments of the power density distribution which can be measured e.g. with a CCD-camera. In this standard the second order moments are used since the knowledge of these second order moments allows the calculation of the beam properties behind aberration-free optical systems with the well known ABCD-matrices. The new ISO/FDIS 11146-22 provides a new measurement procedure to characterize general astigmatic beams which are characterized by ten independent second order moments of their Wigner distribution. We present experimental results of the characterization of a general astigmatic beam and compare these results with theoretically calculated values. In this experiment a well characterized simple astigmatic beam is propagated through a cylindrical lens which is tilted with respect to the symmetry axis of the beam so that the simple astigmatic beam is transformed into a general astigmatic beam. This general astigmatic beam is characterized according to the new ISO standard. The measured second order moments are in good agreement to the theoretically calculated beam properties.
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Andreas Letsch and Adolf Giesen "Characterization of a general astigmatic laser beam by measuring its ten second order moments", Proc. SPIE 5962, Optical Design and Engineering II, 59622F (14 October 2005);


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