The Intriguing Voight Profile in Spectroscopy

What is the Voight profile and how can it be calculated?

The Voight profile represents a convolution of a Cauchy-Lorentz distribution and a Gaussian distribution, often used in spectroscopy. How can this profile be calculated?

Answer:

To calculate the Voight profile for x"(w) versus w, use a suitable numerical procedure, taking the Fourier transform of the product of the Fourier transforms of the Cauchy-Lorentz and Gaussian distributions. Compare the exact Voight profile to a Gaussian curve on a log amplitude scale.

To calculate the Voight profile for x"(w) versus w for Awal Awa 10, we need to use a suitable numerical procedure. The Voigt profile is the convolution of a Cauchy-Lorentz distribution and a Gaussian distribution. We can calculate it by taking the Fourier transform of the product of the Fourier transforms of the Cauchy-Lorentz and Gaussian distributions.

By extending the calculations out to several inhomogeneous linewidths from the line center and plotting the results on a log amplitude scale, we can compare the exact Voight profile to a Gaussian curve that matches the Voight profile near line center. In the outer wings, there may be significant differences between the two profiles due to the inhomogeneous linewidths.