@MISC{Unit_inversionmethods, author = {Thompson Astronomy Unit and M. J. Thompson}, title = {Inversion Methods}, year = {} }
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Abstract
Introduction I want to start by addressing the question, `What is inversion?' My answer would be that inversion is the process of going from data to making inferences about the object under study. In the case of helioseismology, the data at the present time are principally the mode frequencies, and the object under study is the solar interior. For example, suppose we found that observed frequencies of p modes confined to the convection zone agreed well with the frequencies of a theoretical model, but that the observed frequencies of modes penetrating just beneath the convection zone were higher than those in the model. We might reasonably infer that there was something wrong about our model just beneath the base of the convection zone. Moreover, since for acoustic modes the frequency A= R c \Gamma1 ds, where c is the sound speed, the integral is with respect to distance