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This paper discusses a sophisticated approach for retrieving gas absorption coefficients and aerosol optical properties by analyzing solar spectrum measurements. It details the methods for creating a priori state vectors and covariance matrices, employing forward models and convergence testing. The study integrates the SMART and DISORT codes for Mie scattering, utilizing pre-computed gas absorption coefficients via the LBLABC approach. The results showcase updates to state vectors in the OCO forward model, focusing on accurate retrieval of aerosol and gas spectral data for improved atmospheric analysis.
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Instrument Model Gas Absorption coeff Solar Spectum Aerosol optical prop. Surface Properties Measured spectrum & covariance y, Sε Observation Geometry Measurement Mode Create a priori state Vector & covariance xa, Sa Forward Model No Calculated Spectrum f(x) Compute pd K=f/x Convergence test |dx| < ε.|x| Compute Xco2=hTxco2 Error covariance matrix Averaging kernel matrix Yes Inverse Method Find dx that minimizes [y-f(x+dx)]T Sε-1[y-f(x+dx)] +[x+dx-xa]T Sa-1[x+dx-xa] (KT Sε-1 K + Sa-1) dx = [KT Sε-1 (y-f(x))+Sa-1(x-xa)] Output Results Update State Vector x = x + dx Perform Retrieval
OCO Forward Model State Vector Pre-computed Aerosol Optical coefficients Mie Scattering Code SMART DISORT Pre-computed Gas Absorption coefficients Line-by-line Code (LBLABC) BRDF Solar Model Solar Linelist High-Resolution Radiance Spectrum Instrument Line Shape (ILS) Instrument Model Low-Resolution Radiance Spectrum