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Fundamental limit of single-mode integral-field spectroscopy

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 Added by Sebastiaan Haffert
 Publication date 2021
  fields Physics
and research's language is English
 Authors S. Y. Haffert




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There are several high-performance adaptive optics systems that deliver diffraction-limited imaging on ground-based telescopes, which renewed the interest of single-mode fiber (SMF) spectroscopy for exoplanet characterization. However, the fundamental mode of a telescope is not well matched to those of conventional SMFs. With the recent progress in asphere manufacturing techniques it may be possible to reshape the fundamental mode of a SMF into any arbitrary distribution. An optimization problem is setup to investigate what the optimal mode field distribution is and what the fundamental throughput limit is for SMF spectroscopy. Both single-object spectrographs and integral-field spectrographs are investigated. The optimal mode for single-object spectrographs is found to be the aperture function of the exit pupil, while for integral-field spectrographs the optimal mode depends on the spatial sampling of the focal plane. For dense sampling, a uniform mode is optimal, while for sparse sampling, the mode of a conventional SMF is near optimal. With the optimal fiber mode, high throughput (>80%) can be achieved when the focal plane is (super) Nyquist sampled. For the Nyquist sampled cases, the optimal mode has almost 20% more throughput than a conventional SMF.



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Integral Field Spectroscopy (IFS) is a technique that gives simultaneously the spectrum of each spatial sampling element in a given object field. It is a powerful tool which rearranges the data cube (x, y, lambda) represented by two spatial dimensions defining the field and the spectral decomposition in a detector plane. In IFS, the spatial unit reorganizes the field and the spectral unit is being composed of a classical spectrograph.The development of a Collimating Slicer aims at proposing a new type of integral field spectrograph which should be more compact. The main idea is to combine the image slicer with the collimator of the spectrograph, thus mixing the spatial and spectral units. The traditional combination of slicer, pupil and slit elements and the spectrograph collimator is replaced by a new one composed of a slicer and collimator only. In this paper, the state of the art of integral field spectroscopy using image slicers is described. The new system based onto the development of a Collimating Slicer for optical integral field spectroscopy is depicted. First system analysis results and future improvements are discussed. It finally turns out that this new system looks very promising for low resolution spectroscopy.
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