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A MICROWAVE SCATTERING MODEL OF VEGETATED SUFACES BASED ON BOR & NMM3D FOR SMAP MISSION XiaolanXu, Shaowu Huang, Leung Tsang EE, University of Washington, Seattle,  WA Seung-Bum Kim, EniNjoke JPL, California Institute of Technology, Pasadena, CA IGARSS 2010, Honolulu, Hawaii July 25 -30
Outline Background - SMAP mission Baseline Algorithm - Flow Chart Data Cube Representation Soil - Rough Surface Scattering Vegetation – Volume Scattering Interaction Data Comparison Summary
Background – SMAP mission Soil Moisture Active/Passive (SMAP) mission  	L-band (1.26GHz) combined microwave system  	Global maps of the Earth’s soil moisture 	Radar Backscatter product with 3 km resolution Requirements Estimates of top 5-cm soil moisture  	Excluding regions of snow and ice, mountainous topography, open water, and VWC > 5kg/m2
Physical Forward Model Vegetation Layer  Interaction   Soil Surface  Snapshot Time-Series 3D DATA CUBE (N classes)  NDVI Class 1 Soil Moisture Invert Invert Invert Invert HV HV Reassemble Spatial Map ••••• ••••• ••••• ••••• To Archive To Archive Radar Level One Data Radar Level One Data VV VV Classification Classification Classification Classification Soil Moisture HH HH Invert Class n Corn Field Flag Data Not valid Unable  to invert Topography (SRTM) Grass Land Soybean Field Flow Chart
Baseline Retrieval Algorithm An optimization process applied to a robust physical forward model Data Cube – Generate according to the vegetation type Retrieval Algorithm – Least squared Method Minimize d
Data Cube - Advantages Accuracy 3D Numerical solution of Maxwell’s Equations for both rough surface scattering and volume scattering to ensure accuracy Time Fast algorithm has been applied for scattering calculation.  (Surface: PBTG/SMCG; Volume: BOR) Pre-calculated Look-up table Interpolation  Robust
Background - SMAP mission Baseline Algorithm - Flow Chart Data Cube Representation Soil - Rough Surface Scattering Vegetation – Volume Scattering Interaction Data Comparison Summary Region 0 Region 1 Region 2 Outline
Soil - Rough Surface Scattering Bared surface – Numerical Method (NMM3D) Generate profile of 3D random rough surface for each realization, using exponential correlation functions Solve Maxwell Equations Based on Method of Moment (MoM) solution of Maxwell Equations Accelerated by fast algorithm                S. Huang et, al. TGARSS vol.48, no.6, pp.2557-2568, 2010 Implemented on parallel computing
Bare Soil Validation Compared with Michigan’s POLARSCATTER Data-3 ,[object Object],9
Cross-pol Backscattering Coefficients Notes: ,[object Object],10
Coherent reflectivity Relative permittivity = 15.14+i*1.27,  rms height are normalized in wavelength correlation length = 10*rms height.
Vegetation Layer - Single Scatterer  Body of Revolution Branch Leaf Numerical method of solving the Max well’s equations rigorously  for the rotationally symmetric, 3D objects ,[object Object]
   Matthaeis & Lang applied to vegetation scattering over flat surface,[object Object]
Backscattering Comparison between BOR & Infinite Cylinder Approx.
Distribution function of a group of cylinders The bistatic function depends on the orientation angles of the cylinders. The averaging is taken as followed,
Vegetated rough surface Region 0 Region 1 Region 2 Half Space Greens’ Function The coherent reflectivities Rv and Rh is calculated by NMM3D
Backscattering Coefficient Four mechanisms  Born Approx. Foldy Approx.
Grass Land Comparison Southern Great Plains (SGP) 1999 Experiment  Passive and Active L & S System (PALS) L-band  VV, HH, VH channel  Incident angle 40 Typical Condition in Grass land  Thin cylinders,  more uniform distribution
Input Measurement from SGP 99
Grass data comparison at SGP 99
Data matching against soil moisture
Backscattering co-pol difference (vv/hh)
Site 5: Discussion mv  is low, hh > vv mv  increase, hh < vv HH dominant by vegetation effect (volume scattering + double bounce) VV dominant by soil effect (surface scattering)
Further more… how about cross-pol? Cross-pol from soil is done by Oh. Model. Cross-pol is underestimated  Distribution of  vegetation Accurate cross-pol from soil
Summary SMAP Baseline Algorithm Data cube representation More accurate by using numerical method Fit into the retrieval algorithm by using Look up table with interpolation Robust tune up Good Agreement with SGP 99 measurement
Ongoing Research  Rough Surface Accurate cross-polarization Vegetation Multilayer to include more complicate structure Interaction Include incoherent reflection  Data validation of more types of crops
Acknowledgement Shaowu Huang, Prof. Leung Tsang Dr. Seung-Bum Kim,  Dr. EniNjoke NASA, JPL Thanks for your attention! QUESTION?

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FR4.L10.2: A MICROWAVE SCATTERING MODEL OF VEGETATED SURFACES BASED ON BOR/DDA AND NMM3D FOR SMAP MISSION

  • 1. A MICROWAVE SCATTERING MODEL OF VEGETATED SUFACES BASED ON BOR & NMM3D FOR SMAP MISSION XiaolanXu, Shaowu Huang, Leung Tsang EE, University of Washington, Seattle, WA Seung-Bum Kim, EniNjoke JPL, California Institute of Technology, Pasadena, CA IGARSS 2010, Honolulu, Hawaii July 25 -30
  • 2. Outline Background - SMAP mission Baseline Algorithm - Flow Chart Data Cube Representation Soil - Rough Surface Scattering Vegetation – Volume Scattering Interaction Data Comparison Summary
  • 3. Background – SMAP mission Soil Moisture Active/Passive (SMAP) mission L-band (1.26GHz) combined microwave system Global maps of the Earth’s soil moisture Radar Backscatter product with 3 km resolution Requirements Estimates of top 5-cm soil moisture Excluding regions of snow and ice, mountainous topography, open water, and VWC > 5kg/m2
  • 4. Physical Forward Model Vegetation Layer Interaction Soil Surface Snapshot Time-Series 3D DATA CUBE (N classes) NDVI Class 1 Soil Moisture Invert Invert Invert Invert HV HV Reassemble Spatial Map ••••• ••••• ••••• ••••• To Archive To Archive Radar Level One Data Radar Level One Data VV VV Classification Classification Classification Classification Soil Moisture HH HH Invert Class n Corn Field Flag Data Not valid Unable to invert Topography (SRTM) Grass Land Soybean Field Flow Chart
  • 5. Baseline Retrieval Algorithm An optimization process applied to a robust physical forward model Data Cube – Generate according to the vegetation type Retrieval Algorithm – Least squared Method Minimize d
  • 6. Data Cube - Advantages Accuracy 3D Numerical solution of Maxwell’s Equations for both rough surface scattering and volume scattering to ensure accuracy Time Fast algorithm has been applied for scattering calculation. (Surface: PBTG/SMCG; Volume: BOR) Pre-calculated Look-up table Interpolation Robust
  • 7. Background - SMAP mission Baseline Algorithm - Flow Chart Data Cube Representation Soil - Rough Surface Scattering Vegetation – Volume Scattering Interaction Data Comparison Summary Region 0 Region 1 Region 2 Outline
  • 8. Soil - Rough Surface Scattering Bared surface – Numerical Method (NMM3D) Generate profile of 3D random rough surface for each realization, using exponential correlation functions Solve Maxwell Equations Based on Method of Moment (MoM) solution of Maxwell Equations Accelerated by fast algorithm S. Huang et, al. TGARSS vol.48, no.6, pp.2557-2568, 2010 Implemented on parallel computing
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  • 11. Coherent reflectivity Relative permittivity = 15.14+i*1.27, rms height are normalized in wavelength correlation length = 10*rms height.
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  • 14. Backscattering Comparison between BOR & Infinite Cylinder Approx.
  • 15. Distribution function of a group of cylinders The bistatic function depends on the orientation angles of the cylinders. The averaging is taken as followed,
  • 16. Vegetated rough surface Region 0 Region 1 Region 2 Half Space Greens’ Function The coherent reflectivities Rv and Rh is calculated by NMM3D
  • 17. Backscattering Coefficient Four mechanisms Born Approx. Foldy Approx.
  • 18. Grass Land Comparison Southern Great Plains (SGP) 1999 Experiment  Passive and Active L & S System (PALS) L-band VV, HH, VH channel Incident angle 40 Typical Condition in Grass land Thin cylinders, more uniform distribution
  • 21. Data matching against soil moisture
  • 23. Site 5: Discussion mv is low, hh > vv mv increase, hh < vv HH dominant by vegetation effect (volume scattering + double bounce) VV dominant by soil effect (surface scattering)
  • 24. Further more… how about cross-pol? Cross-pol from soil is done by Oh. Model. Cross-pol is underestimated Distribution of vegetation Accurate cross-pol from soil
  • 25. Summary SMAP Baseline Algorithm Data cube representation More accurate by using numerical method Fit into the retrieval algorithm by using Look up table with interpolation Robust tune up Good Agreement with SGP 99 measurement
  • 26. Ongoing Research Rough Surface Accurate cross-polarization Vegetation Multilayer to include more complicate structure Interaction Include incoherent reflection Data validation of more types of crops
  • 27. Acknowledgement Shaowu Huang, Prof. Leung Tsang Dr. Seung-Bum Kim, Dr. EniNjoke NASA, JPL Thanks for your attention! QUESTION?