I am new to sar image processing and i am trying to understand H alpha classification. Can someone plz explain to me how to derive Eigen vector of the coherency matrix, i couldn’t figure it out. Your help will be much appreciated.

Did you already have a look at this tutorial? It is based on Radarsat, but it also works on quad-pol scenes on other satellites.

http://sentinel1.s3.amazonaws.com/docs/S1TBX%20Polarimetry%20Tutorial.pdf

You can find more tutorials on SAR and SNAP here:

http://step.esa.int/main/doc/tutorials/sentinel-1-toolbox-tutorials/

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yes i had a look at those document, but what i was looking for was a mathematical derivative of eigenvector from coherancy matrix. thanx any way.