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
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
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)
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
Optimal Estimation Measurement Description Minimization of Cost Function
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
Weighting Functions: CO 2 Pressure (mbar) Weighting Function ( W/m 2 /sr/nm/ppmv)
Weighting Functions: H 2 O Weighting Function ( W/m 2 /sr/nm/ppmv) Pressure (mbar)
Weighting Functions: CH 4 Weighting Function ( W/m 2 /sr/nm/ppmv) Pressure (mbar)
Wavelength (nm) Δ Radiance ( W/m 2 /sr/nm) Column Weighting Function: CO 2
Wavelength (nm) Δ Radiance ( W/m 2 /sr/nm) Column Weighting Function: H 2 O
Wavelength (nm) Δ Radiance ( W/m 2 /sr/nm) Column Weighting Function: CH 4
Wavelength (nm) Δ Radiance ( W/m 2 /sr/nm) Weighting Function: Surface Pressure
Weighting Function: Surface Type I Wavelength (nm) Δ Radiance ( W/m 2 /sr/nm)
Weighting Function: Surface Type II Wavelength (nm) Δ Radiance ( W/m 2 /sr/nm)
Weighting Function: Surface Type III Wavelength (nm) Δ Radiance ( W/m 2 /sr/nm)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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
Surface Retrieval Precision FractionFull Retrieval (%)Only Surface Retrieval (%) Surface Type Surface Type Surface Type
Computer Specifications Dual Processor Intel Xeon CPU Clock speed: 2.2 GHz RAM: 2 GB 8-9 minutes per retrieval
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