Information content analysis of aerosol remote-sensing experiments using an analytic eigenfunction theory: anomalous diffraction approximation.

An important step in any planned remote-sensing experiment is an analysis of the information content of the equations which will finally be inverted. In this paper we show the value of performing such an analysis using a recently developed analytic eigenfunction theory. So that we may fully utilize the analytic nature of this technique, we have applied it first to the anomalous diffraction approximation to the Mie theory extinction efficiency. Analytical expressions for the eigenfunctions and eigenvalues are derived. The effects of ill-conditioning, and their amelioration due to the inclusion of certain a priori knowledge, are then investigated.

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