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Direct Estimation of Faraday Rotation and other system distortion parameters from polarimetric SAR data Mariko Burgin 1 , Mahta Moghaddam 1 Anthony Freeman 2 1 The University of Michigan, Ann Arbor, MI, USA 2 JPL, California Institute of Technology, Pasadena, CA, USA IGARSS 2010, Honolulu, Hawaii July 25 – 30, 2010
Overview ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Problem statement (1) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Problem statement (2) ,[object Object],[object Object],[object Object],[object Object],KNOWN UNKNOWN Measured: 16 polarimetric cross products from the Muller matrix in the form M xx M xx , x  є  {H, V} Retrieval: 15 polarimetric cross products from the scattering matrix in the form S xx S xx , x  є  {H, V} plus f 1 , f 2 ,  δ 1 , δ 2 ,  Ω
Approach Overview ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Generate Ground Truth (1) AIRSAR data available for P, L, C band Predict Faraday rotation angle  Ω ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],16 polarimetric cross products of the scattering matrix in the form  S xx S xx   Pseudo-spaceborne Ω ~ 7.7 km data without Faraday rotation ~ 1300 km data with Faraday rotation airborne Longitude Faraday rotation angle  Ω  in degrees  March 1, 2001 – 12:00 UTC 100 80 60 40 20 0 -20 -40 -60 -80
Generate Ground Truth (2) Pseudo-spaceborne “measured” values + ground truth are known Faraday rotation angle for AIRSAR data sets: L-band:   Ω  = 1.5° P-band:  Ω  = 12°  Assumed system distortion parameters (arbitrary): Build 16 “measured” Muller matrix polarimetric cross products Pseudo-spaceborne Ω ~ 7.7 km data without Faraday rotation ~ 1300 km data with Faraday rotation airborne
Estimate system parameters (1) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Estimate system parameters (2) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Estimate system parameters: f 1 , f 2  known (1)
Estimate system parameters: f 1 , f 2  known (2) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Estimate system parameters: f 1 , f 2  known (3) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Estimate system parameters: f 1 , f 2  known (4) ,[object Object],[object Object],[object Object],[object Object]
Estimate system parameters: f 1 , f 2  known (5) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Estimate system parameters: Sensitive to  δ 1 ,  δ 2  (1) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Estimate system parameters: Sensitive to  δ 1 ,  δ 2  (2) ,[object Object],[object Object],[object Object],[object Object]
Estimate system parameters: full system model (1) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Estimate system parameters: full system model (2) ,[object Object],[object Object],[object Object],[object Object],[object Object]
Summary and Future work ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Thank you very much for your attention. Questions?
 
Retrieval in L-band for different points in AIRSAR data ,[object Object],[object Object],[object Object],[object Object]
Retrieval in L-band for different points in AIRSAR data ,[object Object],[object Object],[object Object],[object Object]
Retrieval in L-band for different points in AIRSAR data ,[object Object],[object Object],[object Object],[object Object]

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Direct Estimation of Faraday Rotation and System Parameters from SAR Data

  • 1. Direct Estimation of Faraday Rotation and other system distortion parameters from polarimetric SAR data Mariko Burgin 1 , Mahta Moghaddam 1 Anthony Freeman 2 1 The University of Michigan, Ann Arbor, MI, USA 2 JPL, California Institute of Technology, Pasadena, CA, USA IGARSS 2010, Honolulu, Hawaii July 25 – 30, 2010
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  • 7. Generate Ground Truth (2) Pseudo-spaceborne “measured” values + ground truth are known Faraday rotation angle for AIRSAR data sets: L-band: Ω = 1.5° P-band: Ω = 12° Assumed system distortion parameters (arbitrary): Build 16 “measured” Muller matrix polarimetric cross products Pseudo-spaceborne Ω ~ 7.7 km data without Faraday rotation ~ 1300 km data with Faraday rotation airborne
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  • 10. Estimate system parameters: f 1 , f 2 known (1)
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  • 20. Thank you very much for your attention. Questions?
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Notas del editor

  1. It is known that Faraday rotation increases with decreasing frequency. This fact makes the calibration of low-frequency radar more challenging as calibration has to be done not only for system distortion terms, but also for Faraday rotation. For such cases, one can use the following polarimetric radar system model:
  2. First step: retrieval of additional information
  3. Fortunately, this procedure does not have to be executed for every point in the AIRSAR scene . The Faraday rotation angle changes only minimally over the scene and the retrieval has been found to work for any randomly selected point in the scene.