Cauchy function

https://doi.org/10.1351/goldbook.08229
Function \(y = a/(b^{2} + x^{2})\) where \(a\) and \(b\) are constants.
Note:
If \(x\) is replaced by \(\tilde{\nu} - \tilde \nu_{0}\) this function yields a Lorentzian band centered at \(\tilde{\nu}_{0}\).
Source:
PAC, 2021, 93, 647. (Glossary of methods and terms used in analytical spectroscopy (IUPAC Recommendations 2019)) on page 653 [Terms] [Paper]