Composition and Units of Coherency Matrix Elements

Microwave Toolbox Polarimetry
1

Dear all,

I have confused about the composition and units of coherency matrix elements.

Figure one is the coherency matrix and figure two are outputs of T3 produced by ESA SNAP.
Untitled
image

My first question is the T12 composed of T12_real and T12_image?

T12 = T12_real + T12_image

or

T12 = T12_real (or T12_image)

And the second question is about the units of the coherency matrix.
Figures three to five are units of T11, T12_real and T12_image, they are different.

image
image463×584 16.4 KB

image
image459×583 12.6 KB

image
image462×580 14.2 KB

Because I want to calculate Deorientation, how to convert their units into the same unit (intensity)?

Looking forward to your reply.
Thank you

2

Yes, but since it’s an imaginary number it should read: T12 = T12_real + i * T12_image

3

This is because diagonal elements are real number, off-diagonal are complex (so they have real and imag parts…) . Please notice the expression <kp * conjugate transpose(kp)>

4

Then the imaginary part of the matrix elements should be zero on the diagonal.