Evaluation of the capability of local helioseismology to discern between monolithic and spaghetti sunspot models

Abstract

The helioseismic properties of the wave scattering generated by monolithic and spaghetti sunspots are analyzed by means of numerical simulations. In these computations, an incident f or p1 mode travels through the sunspot model, which produces absorption and phase shift of the waves. The scattering is studied by inspecting the wavefield, computing travel-time shifts, and performing Fourier-Hankel analysis. The comparison between the results obtained for both sunspot models reveals that the differences in the absorption coefficient can be detected above noise level. The spaghetti model produces an steep increase of the phase shift with the degree of the mode at short wavelengths, while mode-mixing is more efficient for the monolithic model. These results provide a clue for what to look for in solar observations to discern the constitution of sunspots between the proposed monolithic and spaghetti models.

arXiv commentAccepted for publication in The Astrophysical Journal

References in corpus (16)

• Magneto-convection in a sunspot umbra
• Penumbral structure and outflows in simulated sunspots
• Magneto-acoustic waves in sunspots: first results from a new 3D nonlinear magnetohydrodynamic code
• Non-linear numerical simulations of magneto-acoustic wave propagation in small-scale flux tubes
• Helioseismology of Sunspots: Confronting Observations with Three-Dimensional MHD Simulations of Wave Propagation
• Subsurface magnetic field and flow structure of simulated sunspots
• MHS sunspot model from deep sub-photospheric to chromospheric layers
• The Generation of Coronal Loop Waves below the Photosphere by p-Mode Forcing
• Helioseismology of sunspots: how sensitive are travel times to the Wilson depression and to the subsurface magnetic field?
• Constructing and Characterising Solar Structure Models for Computational Helioseismology
• {\it f}-mode interactions with thin flux tubes: the scattering matrix
• Axisymmetric Scattering of p Modes by Thin Magnetic Tubes
• Multiple scattering of waves by a pair of gravitationally stratified flux tubes
• Numerical simulations of multiple scattering of the $f-$mode by flux tubes
• Scattering of the f-mode by small magnetic flux elements from observations and numerical simulations
• Simulation of f-Mode Propagation Through a Cluster of Small Identical Magnetic Flux Tubes

Cited by in corpus (3)

• Helioseismic holography of simulated sunspots: magnetic and thermal contributions to travel times
• On Strengthening of the Solar f-mode Prior to Active Region Emergence Using the Fourier-Hankel Analysis
• $f$-mode interaction with models of sunspot : near-field scattering and multi-frequency effects