lorabs, zlorabs: lorentzian absorption line

A lorentzian absorption line as a multiplicative model. The zlorabs variant includes redshift as a parameter.

$$M(E) = exp(-d*l(E))$$

$$l(E) = {\sigma\over{(\pi-2\arctan(-2E_L/\sigma))}}{1\over{(E-E_L)^2 + (\sigma/2)^2}}$$

where:

par1	$E_l$, line energy in keV.
par2	$\sigma$, line width (FWHM) in keV.
par3	$d$, line depth in keV.

For zlorabs the corresponding formula is:

$$M(E) = exp(-d*g(E))$$

$$l(E) = {1\over{(1+z)}}{\sigma\over{(\pi-2\arctan(-2E_L/\sigma))}}{1\over{(E(1+z)-E_L)^2 + (\sigma/2)^2}}$$

where:

par1	$E_l$, line energy in keV.
par2	$\sigma$, line width (FWHM) in keV.
par3	$d$, line depth in keV.
par4	$z$, redshift

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Last modified: Wednesday, 12-Mar-2025 17:05:25 EDT