Vm. Cadez et al., CORONAL MHD PERTURBATION FIELD GENERATED BY LOCALIZED PERTURBERS IN APHOTOSPHERIC ACTIVE-REGION, Solar physics, 159(2), 1995, pp. 229-249
We investigate the two-dimensional boundary value problem of the linea
r wave excitation in the solar corona by a pair of periodic perturbers
localized at the photosphere. The physical properties of the corona a
llow us to consider a magnetic configuration such as a potential arcad
e which is in a magneto-hydrostatic equilibrium with the surrounding p
lasma. The model excludes the Alfven mode and since the slow mode is a
bsent in a potential arcade, the excited waves are then the fast magne
to-acoustic modes. The characteristic magnetic field scale length is t
wice the scale height of the coronal plasma, assumed isothermal and th
e induced fluid motions are in the direction perpendicular to the magn
etic field, in the cross-sectional plane of the arcade. A particular e
xample of two localized perturbers in a photospheric active region is
given, painting out the effects produced in the perturbed fields by th
e variation of the different parameters involved. Such example shows t
hat, while a modification of the linear size or the horizontal wave nu
mber of the perturbers does not affect significantly the propagating d
isturbances, the variation of the perturbers' frequency produces impor
tant effects. Such effects can be summarized by saying that low-freque
ncy perturbers are able to disturb the whole coronal magnetic configur
ation above the active region while high-frequency perturbers only dis
turb the coronal region just above them, producing a channeling featur
e. Moreover, for high frequencies the perturbations grow with z all th
e way from the photosphere while for very law frequencies evanescent w
aves are dominant, although thanks to the influence of the medium thei
r amplitude starts to grow from some z on.