satlas.profiles.PseudoVoigt¶

class satlas.profiles.PseudoVoigt(eta=None, fwhm=None, mu=None, amp=None, **kwargs)[source]¶

A callable normalized PseudoVoigt profile.

Parameters:	fwhm (float) – Full Width At Half Maximum, defaults to 1. mu (float) – Location of the center, defaults to 0. amp (float) – Amplitude of the profile, defaults to 1.
Returns:	Callable instance, evaluates the pseudovoigt profile in the arguments supplied.
Return type:	PseudoVoigt

Note

The formula used is taken from the webpage http://en.wikipedia.org/wiki/Voigt_profile#Pseudo-Voigt_Approximation, and the supplied FWHM is appropriately transformed for the Gaussian and Lorentzian lineshapes:

$\mathcal{V}\left(x; \mu, \eta, \sigma, \gamma\right) = \eta \mathcal{L} (x; \sigma, \mu) + (1-\eta) G(x; \sigma, \mu)$

The formula is also adapted to incorporate an asymmetry in the lineshape. This is done by varying the used fwhm with a sigmoid function over the frequency range.

__init__(eta=None, fwhm=None, mu=None, amp=None, **kwargs)[source]¶

__call__(x)[source]¶

Methods

__init__([eta, fwhm, mu, amp])

Attributes

`a`	Asymmetry parameter.
`amp`	Peak amplitude.
`ampIsArea`	Boolean controlling the behaviour of amp.
`fwhm`	FWHM of the peak.
`mu`	Location of the peak.
`n`	Ratio of Lorentzian aspect.

satlas.profiles.PseudoVoigt¶

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