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We show that in the presence of a harmonically varying magnetic field thefundamental or $f$-mode in a stratified layer is altered in such a way that itfans out in the diagnostic $k\omega$ diagram, but with mode power also withinthe fan. In our simulations, the surface is defined by a temperature anddensity jump in a piecewise isothermal layer. Unlike our previous work (Singhet al. 2014) where a uniform magnetic field was considered, we employ here anonuniform magnetic field together with hydromagnetic turbulence at lengthscales much smaller than those of the magnetic fields. The expansion of the$f$-mode is stronger for fields confined to the layer below the surface. Insome of those cases, the $k\omega$ diagram also reveals a new class of lowfrequency vertical stripes at multiples of twice the horizontal wavenumber ofthe background magnetic field. We argue that the study of the $f$-modeexpansion might be a new and sensitive tool to determining subsurface magneticfields with longitudinal periodicity.

Fanning out of the $f$-mode in presence of nonuniform magnetic fields