Measurements of the wave-front outer scale at Paranal

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Presentation transcript:

Measurements of the wave-front outer scale at Paranal Influence of this parameter in interferometry R. Conan, A. Ziad, J. Borgnino and F. Martin UMR 6525 Astrophysique, Université de Nice-Sophia Antipolis, F-06108 Nice Cedex 2, France A. Tokovinin Sternberg Astronomical Institute, Universitestsky prosp., 13, 119899 Moscow, Russia

The Generalized Seeing Monitor Four telescopes (Ø=10cm, L-shape layout) Simultaneous measurement of one component of the angle of arrival Real-time computation of : the Fried’s parameter : r0 the spatial coherence outer scale : L0 the isoplanatic patch : q0 03/29/2000 SPIE's International Symposium - Astronomical Telescopes and Instrumentation 2000

03/29/2000 SPIE's International Symposium - Astronomical Telescopes and Instrumentation 2000

GSM at Paranal 27 Nov./20 Dec. 1998 GSM has worked during 19 clear nights 1884 measurements of each parameter : median seeing : 0.9 as, median L0 : 22 m, median q0 : 1.9 as. 03/29/2000 SPIE's International Symposium - Astronomical Telescopes and Instrumentation 2000

Co-phasing & outer scale Theory Standard deviation of the Optical Path Difference (OPD) : where is the structure function and is the spectrum of the phase fluctuations (Von Karman). 03/29/2000 SPIE's International Symposium - Astronomical Telescopes and Instrumentation 2000

Co-phasing & outer scale Theory Solutions to the structure function without aperture filtering : with aperture filtering : 1. 2. 3. 03/29/2000 SPIE's International Symposium - Astronomical Telescopes and Instrumentation 2000

Co-phasing & outer scale Theory Structure function of the phase fluctuations 03/29/2000 SPIE's International Symposium - Astronomical Telescopes and Instrumentation 2000

Co-phasing & outer scale Theory Isolines of the OPD in units of wavelength as a function of B and L0 D = 10m and r0 = 10cm 03/29/2000 SPIE's International Symposium - Astronomical Telescopes and Instrumentation 2000

Co-phasing & outer scale Application to VLTI OPD in units of the wavelength Diameter : 8.2m Baselines : 40, 100 and 200 m r0 and L0 measured by the GSM 03/29/2000 SPIE's International Symposium - Astronomical Telescopes and Instrumentation 2000

OPD residual after correction by a fringe tracker Structure function of the residual phase (residual piston) : with : 03/29/2000 SPIE's International Symposium - Astronomical Telescopes and Instrumentation 2000

OPD residual after correction by a fringe tracker with and 03/29/2000 SPIE's International Symposium - Astronomical Telescopes and Instrumentation 2000

03/29/2000 SPIE's International Symposium - Astronomical Telescopes and Instrumentation 2000

Summary Longest set of continuous nights of outer scale measurements at Paranal (median L0 : 22 m) Derivation of mathematical formulas for OPD with and without the filtering effect of a finite size aperture OPD values expected at Paranal (D=8.2m, B=40, 100 and 200m) are 10 times lower than for a model with an infinite L0. The OPD is independent of baseline values. 03/29/2000 SPIE's International Symposium - Astronomical Telescopes and Instrumentation 2000