Spectral Line Broadening Mechanisms in Plasmas. A Theoretical Study using Doppler Broadening Models

This study investigates the spectral line broadening mechanisms in plasmas using Doppler broadening models. The Doppler broadening effect is the result of thermal motion and random velocity of ions and electrons in a plasma, causing the spectral lines to broaden. In this study, the Doppler broadening is modeled using the convolution of a Gaussian function with a Lorentzian function. The parameters of the model, line center velocity and Lorentzian half-width at half-maximum (HWHM), are varied and the resulting line profiles are plotted. The results show the effect of changing the line center velocity and Lorentzian HWHM on the line profile shape. The research objective is to demonstrate the mathematical modeling of the Doppler broadening effect in plasmas and provide a visual representation of the line profiles. The method involves writing a code in Python using the NumPy and Matplotlib libraries. The results of this study can be used to understand the broadening mechanisms of spectral lines in plasmas and to interpret observations from plasma experiments and simulations. The results are displayed in a plot showing the intensity of the line profile as a function of velocity. This code provides a theoretical study of the spectral line broadening mechanisms in plasmas, offering insights into the behavior of the line profiles for different velocity and HWHM values.