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Illumination at the output of one cylindrical optical fiber in the near and the far field. Sources are o ff axes. A high degree of azimuthal scrambling is observed. In contrast, it remains some e ff ects in the radial one. 

Illumination at the output of one cylindrical optical fiber in the near and the far field. Sources are o ff axes. A high degree of azimuthal scrambling is observed. In contrast, it remains some e ff ects in the radial one. 

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Article
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For fiber-fed spectrographs with a stable external wavelength source, scrambling properties of optical fibers and, homogeneity and stability of the instrument illumination are important for the accuracy of radial-velocimetry. Optical cylindric fibers are known to have good azimuthal scrambling. In contrast, the radial one is not perfect. In order t...

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Context 1
... and SOPHIE are fiber-fed spectrographs with si- multaneous reference calibrations. The stellar light collected by the telescope are lead to the instrument through a stan- dard step-index multi-mode cylindrical optical fiber. SOPHIE has two observing mode using two di ff erent fibers, the High-Resolution (HR) and the High-E ffi ciency mode (HE). In HR mode, the spectrograph is fed by a 40.5- μ m slit superimposed on the output of the 100- μ m fiber, reach- ing a spectral resolution of λ/∆λ = 75,000. In HE mode, the spectrograph is directly fed by the 100- μ m fiber with a resolution power of 40,000. Both SOPHIE fibers have an sky acceptance of 3-arcsec. HARPS has 70- μ m fiber with a sky acceptance of 1-arcsec and a spectral resolution of 110,000 (see Table 1). Non-uniform illumination of the slit or output fiber at the spectrograph entrance decreases the radial-velocity precision. Indeed, variations in seeing, focus and image shape at the fiber entrance may induced non-uniform illumination inside the pupil of the spectrograph. The optical aberrations lead to variations in the centroids of the stellar lines on the focal plane. Optical fibers are used to lead the light from the telescope to the entrance of the spectrograph. They have the properties to scrambler the atmospheric e ff ects and guiding and centering errors discussed previously. But the scrambling ability of one multimode fiber is not perfect as shown in Fig. 1. With an input o ff axes image, the azimuthal scrambling is good whereas it remains some e ff ects in the radial one. This pattern observed is bigger in far field than in near field. Near field and far field are respectively de- fined as, the brightness distribution across the output face of the fiber, and, as the angular distribution of light of fiber output beam. Therefore, changes in the input beam cause only circular symmetric changes in the fiber output pattern. In contrast, imperfect radial scrambling allows small zonal errors to remain. HARPS and the SOPHIE HR mode are equipped with optical double scramblers. It is used to increase and improve the uniformity and stabilization of the illumination of the spectrograph entrance (refs. [4] and [6]). The near field of a circular fiber is observed to be better scramble than the far field. In spite of only one fiber guiding the light from the telescope to the instrument, double scrambler is composed of two fibers coupled with two doublets. The system is designed to inverse near field and far field in order to induce a better radial scrambling, although it causes flux losses (ref. [1]). The degree of radial scrambling describes the stability of the output beam as the input image is moved from the center to the edge of the fiber. It is possible to detect in RV some variations due to the insu ffi ciency of radial scrambling. The light from a stable star is moved with the guiding / centering system from an edge to the other of the fiber. We compute the RV with the data reduction pipeline for di ff erent positions of the star. The test was done for the two modes of SOPHIE and for HARPS. The results are computed in Table 2. Because the scrambling of the fiber is not perfect, the movement of the input image corresponds to a shift on ...
Context 2
... fibers are used to lead the light from the tele- scope to the entrance of the spectrograph. They have the properties to scrambler the atmospheric effects and guiding and centering errors discussed previously. But the scram- bling ability of one multimode fiber is not perfect as shown in Fig. 1. With an input off axes image, the azimuthal scram- bling is good whereas it remains some effects in the ra- dial one. This pattern observed is bigger in far field than in near field. Near field and far field are respectively de- fined as, the brightness distribution across the output face of the fiber, and, as the angular distribution ...

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... In the absence of scrambling, the illumination errors in multimode fibres can be a significant source of RV inaccuracies. 10 To reduce the impact of illumination errors, an auto-guider was developed and installed at the prime cage of the telescope. Figure 2 shows the schematic of the guider. ...
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