Hello, dear researchers, I have a modulation system which can give me the backscattered(reflection) and forward scattered (transmission) Stokes parameter of the particle under study. According to the Polarization Guide by Edward Collett, the Stokes of the elliptically polarized light are given as:
S0=Ex0^2+Ey0^2
S1=Ex0^2-Ey0^2
S2=2Ex0*Ey0*Cos(delta)
S3=2Ex0*Ey0*Sin(delta)
where Ex0,Ey0 are the amplitude of the scattered orthogonally e.field components and delta is the optical retardation due to a material(the particle under study)
Absorption Stokes can be found out from Reflection and transmission light Stokes and from all three types of Stokes, we can find out the orthogonally e-filed components imaginary and real part and delta from S2 and S3 which is the angle between them.
now my question is that with above-mentioned quantities can I find out the Scattering cross section? I used 400 nm to 700 nm wavelength.
From wikipedia: "The cross section is an effective area that quantifies the essential likelihood of a scattering event when an incident beam strikes a target object, made of separate particles."
In other words,be careful when you define transmission as forward scattered light. I would rather say that light is either scattered, absorbed or transmitted. Extinction is defined as the sum of scattering and absorption,
Cext = Cabs + Csca,
in scattering cross sections.
Also, the Stokes parameters describe the light, not scattering by the particle. You will have a set of Stokes parameters for your incident light, and a set of Stokes parameters for the scattered light. Note that the S0 is really the light intensity! I assume your modulation system describes the relation between the two sets of Stokes parameters i.e. the scattering by your particle (see Mueller Calculus).
Now, an easy way to find the scattering cross section would be to look at the intensities of the incident light and the scattered light:
Csca = Isca/Iinc
Just be sure to integrate the scattered intensity over all angles.
H.C. van de Hulst, Light Scattering by Small Particles, 1957.
@Markus Wahl for your answer. The scattered light is also polarized light and in S0 there is total polarization intensity. can you more clarify your formula???
- Badges
- Science topic
- Similar topics
- Physical Sciences
- Optics