epyr.lineshapes.voigtian

epyr.lineshapes.voigtian(x, center, widths, derivative=0, phase=0.0, return_both=False)[source]

Area-normalized Voigt profile - convolution of Gaussian and Lorentzian.

The Voigt profile models combined inhomogeneous (Gaussian) and homogeneous (Lorentzian) broadening mechanisms commonly found in magnetic resonance and optical spectroscopy.

Parameters:

xarray: Abscissa points
centerfloat: Peak center position
widthstuple of two floats: (gaussian_fwhm, lorentzian_fwhm) - Full widths at half maximum
derivativeint, default=0: Derivative order: - 0: Standard lineshape - 1: First derivative - 2: Second derivative - -1: Integral from -∞
phasefloat, default=0.0: Phase rotation in radians - 0: Pure absorption - π/2: Pure dispersion
return_bothbool, default=False: If True, return (absorption, dispersion) tuple

Returns:

array or tuple: Voigt profile values, optionally with dispersion component

Examples:

>>> x = np.linspace(-10, 10, 1000)
>>> # Equal Gaussian and Lorentzian widths
>>> y = voigtian(x, 0, (4, 4))
>>> # Gaussian-dominated profile
>>> y_gauss = voigtian(x, 0, (6, 2))
>>> # Lorentzian-dominated profile
>>> y_lorentz = voigtian(x, 0, (2, 6))