Reflection and Ducting of Gravity Waves Inside the Sun
arXiv:1104.4310 · doi:10.1007/s11207-011-9771-0
Abstract
Internal gravity waves excited by overshoot at the bottom of the convection zone can be influenced by rotation and by the strong toroidal magnetic field that is likely to be present in the solar tachocline. Using a simple Cartesian model, we show how waves with a vertical component of propagation can be reflected when traveling through a layer containing a horizontal magnetic field with a strength that varies with depth. This interaction can prevent a portion of the downward-traveling wave energy flux from reaching the deep solar interior. If a highly reflecting magnetized layer is located some distance below the convection zone base, a duct or wave guide can be set up, wherein vertical propagation is restricted by successive reflections at the upper and lower boundaries. The presence of both upward- and downward-traveling disturbances inside the duct leads to the existence of a set of horizontally propagating modes that have significantly enhanced amplitudes. We point out that the helical structure of these waves makes them capable of generating an alpha-effect, and briefly consider the possibility that propagation in a shear of sufficient strength could lead to instability, the result of wave growth due to over-reflection.
23 pages, 5 figures. Accepted for publication in Solar Physics
References in corpus (4)
- Numerical Simulations of Penetration and Overshoot in the Sun
- Nonlinear Dynamics of Gravity Wave Driven Flows in the Solar Radiative Interior
- What Prevents Internal Gravity Waves From Disturbing the Solar Uniform Rotation?
- On the Interaction of Internal Gravity Waves with Magnetic Field II. Convective Forcing
Cited by in corpus (8)
- Conversion of Internal Gravity Waves into Magnetic Waves
- The coupling between internal waves and shear-induced turbulence in stellar radiation zones: the critical layer
- Effects of a strong magnetic field on internal gravity waves: trapping, phase mixing, reflection and dynamical chaos
- Asteroseismic g-mode period spacings in strongly magnetic rotating stars
- Gravity waves in strong magnetic fields
- Detecting deep axisymmetric toroidal magnetic fields in stars. The traditional approximation of rotation for differentially rotating deep spherical shells with a general azimuthal magnetic field
- Some glimpses from helioseismology at the dynamics of the deep solar interior
- Nonlinear internal waves breaking in stellar radiation zones. Parametrisation for the transport of angular momentum: bridging geophysical to stellar fluid dynamics