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Maximum allowed angular errors for positioning mirrors in Advanced Virgo OMC
Luc Di Gallo1
For the Advanced VIRGO collaboration(s)

We study in this paper the propagation of an optical beam inside the Output Mode Cleaner (OMC) cavity in order to test the tolerancing of construction specifications. The main goal of this problem is to check if the beam stay inside polished mirrors during the propagation assuming random angular errors for mirror positions. The diameters of mirrors, assume to be 5mm, and the maximum allowed angular error, which we would determine, constitute the set of two relevant parameters in this problem if we exclude configuration parameters of the OMC. To solve the problem we will progress in two steps, first we will establish the equations of the beam propagation inside the cavity using the geometrical optics and second we will do the numerical resolution with a C++ code of those equations and find the maximum allowed angular error.
1:  LAPP - Laboratoire d'Annecy le Vieux de Physique des Particules

Physics/Physics/Instrumentation and Detectors
Geometrical optics – optical cavity – mode cleaner
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