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arXiv 2001.02211astro-ph.IM
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低分辨率光谱的分光光度校正

Spectrophotometric calibration of low-resolution spectra

Michael Weiler, Josep Manel Carrasco, Claus Fabricius, Carme Jordi

摘要:

低分辨率光谱是一种常用的技术。特别是孔径棱镜光谱学是大规模调查观测的重要工具。正在进行的欧空局空间任务盖亚是目前最相关的例子。在这项工作中,我们分析了低分辨率分光光度观测的校准的基本限制,并介绍了一种校准方法,避免简化假设的线扩散函数的拖尾效应。为此,我们开发了一个功能分析的数学公式的问题,分光光度计校准。在这个公式中,校准过程可以被描述为两个适当构造的希尔伯特空间之间的线性映射,独立于分光光度仪器的分辨率。所提出的校准方法可以提供一个正式的不寻常的,但精确的校准低分辨率的光谱与不可忽略的线宽扩展函数。我们使用的盖亚分光光度仪器,以证明这项工作的校准方法可以提供一个显着更好的校准比忽略线扩散函数的拖尾效应的方法。

英文摘要:

Low-resolution spectroscopy is a frequently used technique. Aperture prism spectroscopy in particular is an important tool for large-scale survey observations. The ongoing ESA space mission Gaia is the currently most relevant example. In this work we analyse the fundamental limitations of the calibration of low-resolution spectrophotometric observations and introduce a calibration method that avoids simplifying assumptions on the smearing effects of the line spread functions. To this aim, we developed a functional analytic mathematical formulation of the problem of spectrophotometric calibration. In this formulation, the calibration process can be described as a linear mapping between two suitably constructed Hilbert spaces, independently of the resolution of the spectrophotometric instrument. The presented calibration method can provide a formally unusual but precise calibration of low-resolution spectrophotometry with non-negligible widths of line spread functions. We used the Gaia spectrophotometric instruments to demonstrate that the calibration method of this work can potentially provide a significantly better calibration than methods neglecting the smearing effects of the line spread functions.

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