Optimized Response Functions for 2-dimensional Observations of Solar Oscillations

Response functions are calculated for solar oscillation observations made in Doppler velocity which is averaged over a grid of 30" x 30" pixels. In a simulation of an analysis scheme proposed for the HAO/SPO Fourier Tachometer the responses for the individual pixels are combined using Chebychev weighting functions. It is shown how a technique developed for geophysical inversion may be used to find linear combinations concentrated within a fairly narrow range of l and m values of these transformed responses. The extension to bidirectional observations is discussed.