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Extracting Atmospheric and Surface Information from AVIRIS Spectra Vijay Natraj, Daniel Feldman, Xun Jiang, Jack Margolis and Yuk Yung California Institute of Technology May 24, 2005
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Objectives Calculate information content of trace gas concentration Investigate effect of signal-to-noise ratio (SNR) on retrieval precision Compare clear and aerosol-laden scenes Assess impact of varying surface types Analyze benefits of physics-based retrieval
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Retrieval Technique Forward Model Description of radiative transfer in the atmosphere Simulation of instrument response Inverse Method Iteration to best match the observed spectrum Optimal Estimation Theory (Rodgers, 2000)
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Physics of Radiative Transfer Fundamental equation of radiative transfer Multiple scattering algorithm: Isaacs 2-stream, DISORT 16- stream Radiative transport algorithm: standard band model with Curtis-Godson path averaging Band model resolution: 5 cm -1 ; 33 absorption coefficients per spectral bin
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Optimal Estimation Measurement Description Minimization of Cost Function
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Need for a priori Information Ill-posed, nonlinear inversion problem A priori make problem well-posed Based on what we already know about the atmospheric or surface state Obtained from climatological data, radiosonde measurements, or ad hoc descriptions Care needed in selecting a priori
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Weighting Functions: CO 2 Pressure (mbar) Weighting Function ( W/m 2 /sr/nm/ppmv)
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Weighting Functions: H 2 O Weighting Function ( W/m 2 /sr/nm/ppmv) Pressure (mbar)
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Weighting Functions: CH 4 Weighting Function ( W/m 2 /sr/nm/ppmv) Pressure (mbar)
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Wavelength (nm) Δ Radiance ( W/m 2 /sr/nm) Column Weighting Function: CO 2
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Wavelength (nm) Δ Radiance ( W/m 2 /sr/nm) Column Weighting Function: H 2 O
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Wavelength (nm) Δ Radiance ( W/m 2 /sr/nm) Column Weighting Function: CH 4
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Wavelength (nm) Δ Radiance ( W/m 2 /sr/nm) Weighting Function: Surface Pressure
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Weighting Function: Surface Type I Wavelength (nm) Δ Radiance ( W/m 2 /sr/nm)
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Weighting Function: Surface Type II Wavelength (nm) Δ Radiance ( W/m 2 /sr/nm)
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Weighting Function: Surface Type III Wavelength (nm) Δ Radiance ( W/m 2 /sr/nm)
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Retrieval Parameters CO 2 column scaling factor CH 4 column scaling factor H 2 O column scaling factor Surface pressure Fractions of three surface types (1: conifer, 2: cropland, 3: desert)
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Model Parameters 11-layer atmosphere (5 in stratosphere) Solar Zenith Angle = 50 degrees Nadir Viewing Aerosol "Rural" (bottom 2 layers), "Tropospheric" (next 4), "Background Stratospheric" (rest) Visibility = 2 km, 20 km, 200 km (clear sky)
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SNR Retrieval Precision: H 2 O Column H 2 O column scaling factor-1 Black: a priori uncertainty Green: clear sky Red: aerosol (20 km visibility) Blue: aerosol (2 km visibility)
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SNR Retrieval Precision: CO 2 Column CO 2 column scaling factor-1 Black: a priori uncertainty Green: clear sky Red: aerosol (20 km visibility) Blue: aerosol (2 km visibility)
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SNR Retrieval Precision: CH 4 Column CH 4 column scaling factor-1 Black: a priori uncertainty Green: clear sky Red: aerosol (20 km visibility) Blue: aerosol (2 km visibility)
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SNR Retrieval Precision: Surface Pressure Surface Pressure Uncertainty (mbar) Black: a priori uncertainty Green: clear sky Red: aerosol (20 km visibility) Blue: aerosol (2 km visibility)
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SNR Retrieval Precision: Surface Type I Uncertainty in Fraction of Surface Type I Black: a priori uncertainty Green: clear sky Red: aerosol (20 km visibility) Blue: aerosol (2 km visibility)
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SNR Retrieval Precision: Surface Type II Uncertainty in Fraction of Surface Type II Black: a priori uncertainty Green: clear sky Red: aerosol (20 km visibility) Blue: aerosol (2 km visibility)
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SNR Retrieval Precision: Surface Type III Uncertainty in Fraction of Surface Type III Black: a priori uncertainty Green: clear sky Red: aerosol (20 km visibility) Blue: aerosol (2 km visibility)
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Full Retrieval (SNR = 2000) Wavelength (nm) Radiance ( W/m 2 /sr/nm) Black: true Red: retrieved Blue: a priori Red: retrieved - true Blue: a priori - true Residual ( W/m 2 /sr/nm)
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Retrieval of Surface Types Only (SNR = 2000) Wavelength (nm) Radiance ( W/m 2 /sr/nm) Residual ( W/m 2 /sr/nm) Black: true Red: retrieved Blue: a priori Red: retrieved - true Blue: a priori - true
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Surface Retrieval Precision FractionFull Retrieval (%)Only Surface Retrieval (%) Surface Type 1 0.461.52 Surface Type 2 06.09 Surface Type 3 0.9925.2
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Computer Specifications Dual Processor Intel Xeon CPU Clock speed: 2.2 GHz RAM: 2 GB 8-9 minutes per retrieval
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Conclusions Different AVIRIS channels have different sensitivity to atmospheric/surface parameters Retrieval precisions improve with increasing SNR Even cloudy scenes can be retrieved Error in atmospheric correction can lead to significant error in surface retrieval
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