Theory of Brillouin scattering in plasmas, i.e., nonlinear interaction of electromagnetic waves with longitudinal (plasma) waves, is developed and applied to the ionospheric irregularities produced by a plasma instability. As a result, characteristic features appearing in VHF radar echoes from the equatorial E region seem to be plausibly explained. Above all, it is found that the main peak echoes and the small image echoes are well interpreted as arising from the phase‐matched and mismatched scatterings by unstable ion‐acoustic waves, respectively. Furthermore, Dougherty and Farley's interpretation of broad spectra at low frequencies is criticized, and an alternative interpretation is made by introducing another instability, i.e., cross‐field instability.