ProPhoto RGB color space: Difference between revisions

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The '''spectral resolution'''  of a [[spectrograph]], or, more generally, of a [[frequency spectrum]], is a measure of its ability to resolve features in the [[electromagnetic spectrum]].  It is usually denoted by <math>\Delta\lambda</math>, and is closely related to the '''resolving power''' of the spectrograph, defined as
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<math>R = {\lambda\over\Delta\lambda}</math>,
 
where <math>\Delta\lambda</math> is the smallest difference in [[wavelength]]s that can be distinguished at a wavelength of <math>\lambda</math>. For example, the [[Space Telescope Imaging Spectrograph]] (STIS) can distinguish features 0.17 [[nanometre|nm]] apart at a wavelength of 1000&nbsp;nm, giving it a resolution of 0.17&nbsp;nm and a resolving power of about 5,900. An example of a high resolution spectrograph is the ''Cryogenic High-Resolution [[Infrared|IR]] [[Echelle grating|Echelle Spectrograph]]'' (CRIRES) installed at [[ESO]]'s [[Very Large Telescope]], which has a spectral resolving power of up to 100,000.<ref>[http://www.eso.org/instruments/crires/ - CRIRES Instrument page at ESO]</ref>
 
==Doppler effect==
The spectral resolution can also be expressed in terms of physical quantities, such as velocity; then it describes the difference between velocities <math>\Delta v</math> that can be distinguished through the [[Doppler effect]]. Then, the resolution is <math>\Delta v</math> and the resolving power is
 
<math>R = {c\over\Delta v}</math>
 
where <math>c</math> is the [[speed of light]]. The STIS example above then has a spectral resolution of 51 [[kilometres per second|km/s]].
 
==IUPAC definition==
IUPAC defines resolution in optical spectroscopy as the minimum wavenumber, wavelength or frequency difference between two lines in a spectrum that can be distinguished.<ref>{{GoldBookRef|title=resolution in optical spectroscopy|file=R05319}}</ref> Resolving power, ''R'', is given by the transition wavenumber, wavelength or frequency, divided by the resolution.<ref>{{GoldBookRef|title=resolving power, R, in optical spectroscopy|file=R05322}}</ref>
 
==See also==
*[[Angular resolution]]
*[[Resolution (mass spectrometry)]]
 
==References==
{{reflist}}
 
==Further reading==
*Kim Quijano, J., et al. (2003), ''STIS Instrument Handbook'', Version 7.0, (Baltimore: STScI)
*Frank L. Pedrotti, S.J. (2007), ''Introduction to optics'', 3rd version, (San Francisco)
 
[[Category:Spectroscopy]]

Latest revision as of 06:43, 19 August 2014



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