Alignment Investigations towards Advanced Virgo

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Presentation transcript:

Alignment Investigations towards Advanced Virgo M. Mantovani, A.Freise LSC-VIRGO 05/2007 Cascina

Advanced VIRGO Optical Layout Take 'dummy' optical layout as available from the Advanced VIRGO working groups (in the EGO/VIRGO working area) Try to perform preliminary analysis of alignment schemes and noise estimates Use computer scripts and simulation methods developed for VIRGO (wide search of parameter space) 25.05.2007 M. Mantovani, LSC-VIRGO 05/2007 Cascina

Advanced VIRGO Optical Layout 25.05.2007 M. Mantovani, LSC-VIRGO 05/2007 Cascina

Optical Layout Overview Optical path lengths: as VIRGO 0.5 MW circulating power in arm cavities Tuned RSE configuration (DC read-out, no locking scheme) 25.05.2007 M. Mantovani, LSC-VIRGO 05/2007 Cascina

M. Mantovani, LSC-VIRGO 05/2007 Cascina 25.05.2007 M. Mantovani, LSC-VIRGO 05/2007 Cascina

Computing the optical matrix Finesse File Output Low Frequency Transfer Functions between the mirror angular motions and the Quadrant-diode outputs (N output files for N d.o.f) Example: Initial Virgo Configuration Matlab program to construct the optical matrix 25.05.2007 M. Mantovani, LSC-VIRGO 05/2007 Cascina

Estimate Controllability Method to evaluate the quality of a control or sensing matrix: using the distribution of the matrix‘ row vectors in the system's parameter space. b1 … bn s1 O11 O1n sm Om1 Omn Mirror angular movement Optical Matrix Signal O = 25.05.2007 M. Mantovani, LSC-VIRGO 05/2007 Cascina

Iso-volumetric transformation Estimate Controllability In an over-determined system (e.g. VIRGO) we select the subset of diode signals which provides maximally separated vectors (Matlab script) and we use the “minimum equivalent angle” between them as the figure of merit when comparing control topologies (quality parameter). Iso-volumetric transformation a is the 'minimum equivalent angle' 25.05.2007 M. Mantovani, LSC-VIRGO 05/2007 Cascina

M. Mantovani, LSC-VIRGO 05/2007 Cascina Step by Step Look at sideband resonances Select 'useful' ranges for modulation frequencies Evaluate the controllability 25.05.2007 M. Mantovani, LSC-VIRGO 05/2007 Cascina

Choosing a modulation Frequency (1/3) 25.05.2007 M. Mantovani, LSC-VIRGO 05/2007 Cascina

Choosing a modulation Frequency (2/3) By using only one Modulation Frequency the controllability is good only in regions where the power impinging on some diodes is too low. 25.05.2007 M. Mantovani, LSC-VIRGO 05/2007 Cascina

Choosing a modulation Frequency (3/3) [deg] 25.05.2007 M. Mantovani, LSC-VIRGO 05/2007 Cascina

M. Mantovani, LSC-VIRGO 05/2007 Cascina Next steps Investigate additional output signals Work on length sensing in parallel Fix frequencies Optimise setup further Do noise projections 25.05.2007 M. Mantovani, LSC-VIRGO 05/2007 Cascina