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We study the broadband polarization of hydrogen lines produced by scatteringof radiation, in the presence of isotropic electric fields. In this paper, wefocus on two distinct problems: a) the possibility of detecting the presence ofturbulent electric fields by polarimetric methods, and b) the influence of suchfields on the polarization due to a macroscopic, deterministic magnetic field.We found that isotropic electric fields decrease the degree of linearpolarization in the scattered radiation, with respect to the zero-field case.On the other hand, a distribution of isotropic electric fields superimposedonto a deterministic magnetic field can generate a significant increase of thedegree of magnetic-induced, net circular polarization. This phenomenon hasimportant implications for the diagnostics of magnetic fields in plasmas usinghydrogen lines, because of the ubiquitous presence of the Holtsmark,microscopic electric field from neighbouring ions. In particular, previoussolar magnetographic studies of the Balmer lines of hydrogen may need to berevised because they neglected the effect of turbulent electric fields on thepolarization signals. In this work, we give explicit results for theLyman-alpha and Balmer-alpha lines.Comment: 15 pages, 6 figure

Scattering polarization of hydrogen lines in the presence of turbulent electric fields