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Jamie Budynkiewicz edited Components.tex
about 10 years ago
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\subsubsection{Redshifting}
Redshifting an SED in Iris refers to cosmological redshift. Because the apparent magnitude of a source is dimmer at high redshifts than low redshift, we correct the flux so that the area under the shifted SED equals that of the un-shifted SED [REFERENCES, astLib]:
\[f_{z_{final}}(\lambda) = f_{z_{initial}}(\lambda) \frac{\sum_{k=1}^N
\(\lambda_{k+1}-\lambda_{k}\)\(f_{z_{initial}}(\lambda_{k+1}+f_{z_{initial}}(\lambda_{k})\)}{\sum_{k=1}^N \(\lambda_{k+1}-\lambda_{k}\)f_{z_{final}}(\lambda_{k+1}+f_{z_{final}}(\lambda_{k})\)}\] f_{z_{initial}}(\lambda_{k+1}+f_{z_{initial}}(\lambda_{k})}{\sum_{k=1}^N f_{z_{final}}(\lambda_{k+1}+f_{z_{final}}(\lambda_{k})}\]
In sherpa-samp, we extend astLib's astSED class for its implementation of redshifting SEDs [REFERENCE].