Open AccessSolar p modes of high degree l : coupling by differential rotation
Author(s) -
Vorontsov S. V.
Publication year - 2007
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1111/j.1365-2966.2007.11894.x
Subject(s) - physics , differential rotation , degenerate energy levels , mode coupling , angular velocity , coupling (piping) , perturbation (astronomy) , spectral line , computational physics , perturbation theory (quantum mechanics) , mode (computer interface) , rotation (mathematics) , coupling coefficient of resonators , classical mechanics , astrophysics , optics , quantum mechanics , stars , geometry , mechanical engineering , mathematics , resonator , computer science , engineering , operating system
Accurate measurements of solar p‐mode frequencies and frequency splittings at high degree l require an adequate theoretical knowledge of the effects of mode coupling, induced by the variation with latitude of the angular velocity of the solar internal rotation. Earlier results for expansion coefficients of composite solutions (coupling coefficients) are due to Woodard. In this paper, the analysis is extended to allow for the dependence of the differential rotation on depth, and the result is expressed in terms of measurable quantities (the rotational splitting coefficients), which makes it convenient for diagnostic purposes. The analysis is based on the approach of quasi‐degenerate perturbation theory, and is extended further to address possible effects of mode coupling in the observational line profiles. It is shown, using approximations applicable at high degree l , that the expected line profiles of composite modes in the observational power spectra are not distorted by mode coupling.