Diffraction theory is scalar. How you deal with beam propagation that is sensitive to the to the polarization?

If I have linearly polarized gaussian beam incident on glass surface, how is the polarization included in the propagation code/theory ?

What I am ultimately interested is to have let say linearly polarized input gaussian beam to propagate through a hollow fiber. I will use split step to propagate is that matters. And how is it done if thats not good approach ?

Diffraction theory is scalar. How you deal with beam propagation in fourier optics that is sensitive to the to the polarization?

If I have linearly polarized gaussian beam incident on glass surface, how is the polarization included in the propagation code/theory ?

What I am ultimately interested is to have let say linearly polarized input gaussian beam to propagate through a hollow fiber. I will use split step to propagate if that matters. And how is it done if thats not good approach ?

Diffraction theory is scalar. How you deal with beam propagation that is sensitive to the to the polarization?

If I have linearly polarized gaussian beam incident on glass surface, how is the polarization included in the propagation code/theory ?

Diffraction theory is scalar. How you deal with beam propagation that is sensitive to the to the polarization?

If I have linearly polarized gaussian beam incident on glass surface, how is the polarization included in the propagation code/theory ?

What I am ultimately interested is to have let say linearly polarized input gaussian beam to propagate through a hollow fiber. I will use split step to propagate is that matters. And how is it done if thats not good approach ?