Polarimetry and PolInSAR - Polarimetry - Krogager Decomposition

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Polarimetry and PolInSAR - Polarimetry - Krogager Decomposition

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Purpose

 

The Krogager coherent decomposition provides an interpretation of a full polarimetric Single Look Complex data set in terms of elementary scattering mechanisms: sphere-like (single bounce scattering), deplane (double bounce scattering) and helix (helical scattering). In general the coherent decomposition approach is suitable for discriminating the scattering of elementary objects (e.g. man made structures).

 

The results are in Slant Range geometry, therefore each of the output RGB channels shall be geocoded in order to be properly displayed in a cartographic system, afterward a new colour composite of the three geocoded RGB channels will be performed.

 

Technical Note

 

The objective of the coherent decomposition is to express the measured scattering matrix S as the combination of the scattering responses of elementary objects.

pauli

The symbol Si stands for the response of every one elementary objects, whereas ci indicates the weight of Si in the combination leading to the measured S.

 

It has to be pointed out that the scattering matrix S can characterise the scattering processes produced by a given object, and therefore the object itself. This is possible only in those cases where both, the incident and the scattered waves are completely polarized. Consequently, coherent target decompositions can be only employed to study the coherent targets. These scatterers are known as point or pure targets.

 

In a real situation, the measured scattering matrix S corresponds to a complex coherent target. Therefore a direct analysis of the scattering matrix, with the objective to infer the physical properties of the scatterers under study, is often very difficult. Thus the physical properties of the scatterers are extracted and interpreted through the analysis of elementary responses Si  and corresponding coefficients ci .  

 

The decomposition as exposed in not unique in the sense that it is possible to find number of infinite sets Si  in which the scattering matrix S can be decomposed. Nevertheless, only some of the sets Si are convenient to interpret the information content of S.  Three methods are typically employed to characterize coherent scatterers based on the scattering matrix S :

 

The Pauli Decomposition

The Krogager Decomposition

The Cameron Decomposition

 

This functionality provides the decomposition results coming from the Krogager method. Three single channels and their color composite (namely _ks_amp, _kd_amp and _kh_amp respectively assigned to the Red, Green and Blue colors), are generated. The meaning, in terms of scattering mechanism, is as follows:

 

sphere response

deplane response

helix response

 

 

 

Input Files

 

Input HH File

Input file names of the scattering matrix (_slc). This file is mandatory.

 

Input HV File

Input file names of the scattering matrix (_slc). This file is mandatory.

 

Input VH File

Input file names of the scattering matrix (_slc). This file is mandatory.

 

Input VV File

Input file names of the scattering matrix (_slc). This file is mandatory.

 

Output Files

 

Output root name

Root file name. This file is mandatory.

 

_krogager_KS_amp

Krogager single scatterer amplitude contribution with the associated header files (.sml, .hdr).

 

_krogager_KD_amp

Krogager double scatterer amplitude contribution with the associated header files (.sml, .hdr).

 

_krogager_KH_amp

Krogager helical scatterer amplitude contribution with the associated header files (.sml, .hdr).

 

_krogager_rgb.tif

Color composite using KS, KD, KH respectively in Red, Green and Blue with the corresponding header file (.sml).

 

Details specific to the Units of Measure and Nomenclature of the output products can be found in the Data Format section.

 

General Functions

 

Exec

The processing step is executed.

 

Store Batch        

The processing step is stored in the batch list. The Batch Browser button allows to load the batch processing list.

 

Close        

The window will be closed.

 

Help

Specific help document section.

 

 

Specific Function(s)

 

None.

 

Acknowledgments

 

We would like to thank Dr. Ernst Krogager for his essential support during the development of this Polarimetric Decomposition.

 

See Also

 

Task, SARscapeBatch object, SARscapeBatch script example

 

References

 

ESA, Polarimetric SAR Interferometry tutorial

 

EXELIS, Polarization Signatures Background

 

Cloude, S. R., & Pottier, E. (1996). A review of target decomposition theorems in radar polarimetry. Geoscience and Remote Sensing, IEEE Transactions on,34(2), 498-518.

 

Krogager, E. (1995). Properties of the sphere, diplane, helix (target scattering matrix) decomposition. Proc. of JIPR-3, Mar. 1995.

 

Krogager, E., Boerner, W. M., Ainsworth, T., Lee, J. S., & Verdi, J. S. (2000). Interpretation of high-resolution polarimetric SAR data using detailed ground truth information. In EUSAR 2000 (pp. 791-794).