Imaginary part of density fluctuations generated by the quadrupolar semidiurnal thermal tide a functions of the latitude (horizontal axis, degrees) and background pressure in logarithmic scale (vertical axis, bars). Density fluctuations are plotted using Eq. (51) for several decades of the forcing period (τ_tide = 2π∕σ), (from left to right), and the three studied cases. Top: case treated by Arras & Socrates (2010), that is, adiabatic without rotation (no-Coriolis approximation). Middle: non-adiabatic without rotation (τ_⋆ = 1 day). Bottom: non-adiabatic (τ_⋆ = 1 day) with rotation (traditional approximation). The horizontal structure of the tidal response (Eq. (26)) is computed for 250 Hough modes using the spectral method described by Wang et al. (2016), with projections on 375 associated Legendre polynomials. The vertical structure equation (Eq. (41)) is integrated on a regular mesh composed of 1000 points (10 000 points for the case τ_⋆ = +∞) using the implicit fourth order finite differences scheme detailed in Appendix E.