  Global coronal waves (CWs) and their interaction with coronal holes (CHs)
result, among other effects, in the formation of reflected and transmitted
waves. Observations of such events provide us with measurements of different CW
parameters, such as phase speed and intensity amplitudes. However, several of
these parameters are provided with only intermediate observational quality,
other parameters, such as the phase speed of transmitted waves, can hardly be
observed in general. We present a new method to estimate crucial CW parameters,
such as density and phase speed of reflected as well as transmitted waves, Mach
numbers and density values of the CH's interior, by using analytical
expressions in combination with basic and most accessible observational
measurements. The transmission and reflection coefficients are derived from
linear theory and subsequently used to calculate estimations for phase speeds
of incoming, reflected and transmitted waves. The obtained analytical
expressions are validated by performing numerical simulations of CWs
interacting with CHs. This new method enables to determine in a fast and
straightforward way reliable CW and CH parameters from basic observational
measurements which provides a powerful tool to better understand the observed
interaction effects between CWs and CHs.
