1 Introduction

Comparing precise experimental measurements of the Stark broadening in different spectral lines with the calculations of those lines using confirmed theoretical models leads us to know the perturbers' density, their temperature and the thermodynamical equilibrium between the perturbers in plasmas dominated by coulombian collisions. For these comparisons, it is necessary to have large data bases of both experimental and theoretical profiles.

The dependencies of some characteristic quantities of the profiles, whether the total width at half height (FWHM) or the depth of the central dip (DIP) for the case of very well known lines, both theoretically and experimentally, may allow us to know the orders of magnitude of the perturbers' density, at least, or the temperature of the plasma. However, comparing experimental and theoretical profiles can give very valuable information about questions such as the thermodynamical equilibrium of the different species constituting the plasma.

In this paper we give the autocorrelation functions of the emitters' electric dipolar moment, which then allows us to obtain the Lyman$-\alpha$ emission profiles, two-photon absorption profiles for the 1S$\to$2S transition and the profiles that would be obtained using 1S$\to$2S two-photon polarization spectroscopy (Danzmann et al. 1986; Seidel 1986; Grützmacher & Seidel 1989; Steiger 1993; Steiger & Grützmacher 1993; Seidel et al. 1995). These profiles can be obtained from the autocorrelation functions here. The advantage of giving the autocorrelation functions of the dipolar moment instead of the Stark profiles directly is that the first ones make it easy to operate and to consider other additional broadening mechanisms. We give the pure Stark dipolar emission and two-photon polarization profiles also obtained directly from the given autocorrelation functions.