Optimized response functions for 2-dimensional observations of solar oscillations

Physics

Scientific paper

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Chebyshev Approximation, Doppler Effect, Helioseismology, Responses, Solar Oscillations, Fourier Transformation, Radial Velocity, Solar Activity Effects, Solar Physics, Weighting Functions

Scientific paper

Reasonably realistic response functions are calculated for solar oscillation observations made in Doppler velocity which is averaged over a grid of 30arcsec×30arcsec 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 of this analysis to bidirectional observations is discussed.

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