Wj. Chaplin et al., THE OBSERVATION AND SIMULATION OF STOCHASTICALLY EXCITED SOLAR P-MODE, Monthly Notices of the Royal Astronomical Society, 287(1), 1997, pp. 51-56
We use low-degree p-mode data, collected in integrated sunlight by the
Birmingham Solar-Oscillations Network (BiSON), to derive the distribu
tion of the observed strengths of the solar oscillations. We demonstra
te that certain features of the observations cannot be explained by a
model of the oscillations that is based upon a stochastically forced,
damped harmonic oscillator. The solution of the equation of motion of
the oscillator, as derived by the use of the Laplace transform, is pre
sented, and its application to the simulation of real p-mode data, in
the form of a coded algorithm, is discussed. A variety of tests are ap
plied - both in the time and in the frequency domains - to artificiall
y generated time series. These confirm that the model serves both as a
useful diagnostic tool and for providing additional insight into the
p-mode excitation and damping problem.