Simulation of f-Mode Propagation Through a Cluster of Small Identical Magnetic Flux Tubes |
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| Authors: | K Daiffallah |
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| Institution: | 1. Observatory of Algiers, CRAAG, Algiers, Algeria
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| Abstract: | Motivated by the question of how to distinguish seismically between monolithic and cluster models of sunspots, we have simulated the propagation of an f-mode wave packet through two identical small magnetic flux tubes (R=200 km), embedded in a stratified atmosphere. We want to study the effect of separation d and incidence angle χ on the scattered wave. We have demonstrated that the horizontal compact pair of tubes (d/R=2, χ=0) oscillate as a single tube when the incident wave is propagating, which gives a scattered wave amplitude of about twice that from a single tube. The scattered amplitude decreases with increasing d when d is about λ/2π where λ is the wavelength of the incident wave packet. In this case the individual tubes start to oscillate separately in the manner of near-field scattering. When d is about twice λ/2π, scattering from individual tubes reaches the far-field regime, giving rise to coherent scattering with an amplitude similar to the case of the compact pair of tubes. For perpendicular incidence (χ=π/2), the tubes oscillate simultaneously with the incident wave packet. Moreover, simulations show that a compact cluster oscillates almost as a single individual small tube and acts more like a scattering object, while a loose cluster shows multiple-scattering in the near field and the absorption is largest when d within the cluster is about λ/2π. This is the first step to understand the seismic response of a bundle of magnetic flux tubes in the context of sunspot and plage helioseismology. |
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