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In this work, the FALCON code is adopted for illustrating the features ofshear Alfv\'en and continuous spectra in toroidal fusion plasmas. The FALCONcodes employs the local Floquet analysis discussed in [Phys. of Plasmas\textbf{26} (8), 082502 (2019)] for computing global structures of continuousspectra in general toroidal geometry. As particular applications, referenceequilibria for the Divertor Tokamak Test and ASDEX Upgrade plasmas areconsidered. In particular, we illustrate the importance of mode polarizationfor recognizing the physical relevance of the various branches of thecontinuous spectra in the ideal MHD limit. We also analyze the effect of plasmacompression and the validity of the slow sound approximation.

On the polarization of shear Alfv\'en and acoustic continuous spectra in toroidal plasmas