hess_voigt

TRXASprefitpack.mathfun.hess_voigt(e: float | ndarray, fwhm_G: float, fwhm_L: float) → ndarray

hess_voigt: Hessian of voigt profile with respect to (e, fwhm_G, fwhm_L)

Parameters:

• e – energy

• fwhm_G – full width at half maximum of gaussian part :math:(2sqrt{2log(2)}sigma)

• fwhm_L – full width at half maximum of lorenzian part :math:(2gamma)

Returns:

Hessian derivative of voigt profile

Note

• 1st column: d^2f/de^2

• 2nd column: d^2f/ded(fwhm_G)

• 3rd column: d^2f/ded(fwhm_L)

• 4th column: d^2f/d(fwhm_G)^2

• 5th column: d^2f/d(fwhm_G)d(fwhm_L)

• 6th column: d^2f/d(fwhm_L)^2

if fwhm_G is (<1e-8) then, It assume fwhm_G = 0 => lorenzian profile if fwhm_L is (<1e-8) then, It assume fwhm_L = 0 => gaussian profile