The contribution to p-mode line widths from the excitation of tube mode osc
illations on an individual magnetic fibril is computed. An idealized model
of the fibril within the photosphere is implemented, consisting of a vertic
al, thin magnetic flux tube embedded in a plane-parallel isentropic polytro
pe of index m. Bogdan et al. considered a similar model but imposed a stres
s-free boundary condition at the top of the photosphere, which acts to refl
ect any upward-propagating tube waves completely back down into the tube. T
he stress-free boundary condition neglects a possibly important physical pr
ocess: the loss of energy to the upper solar atmosphere by the excitation o
f waves in the chromosphere and corona. Using simple models of the solar ch
romosphere and corona, we explore the consequences of applying various boun
dary conditions. The resultant upward energy fluxes are not large, but surp
risingly the more realistic upper boundary conditions lead to a significant
increase in kink mode flux out the bottom. Nevertheless, the sausage mode
remains dominant in cases of interest and is essentially unaffected by the
new boundary conditions. Consequently, the resultant total p-mode line widt
h computed here can account for only a few percent of the observed line wid
th.