I brought you some answers from the help of SNAP and from the STEP FORUM,
First take a look at the In H-A-Alpha decomposition calculations,
Second the eigenvalues of coherency plying an important role of the result,
most of the decompositions require 4 polarizations: HH, HV, VH and VV.
However, most of the Sentinel-1 data in IW mode is in only one or two polarizations: