Polystyrene microspheres are commonly used in optical spectroscopy to simulate (
ID: 498801 • Letter: P
Question
Polystyrene microspheres are commonly used in optical spectroscopy to simulate (among others) tissue scattering. Consider a polystyrene bead solution, with 2 mu m diameter polystyrene particles (e.g., from Polysciences Inc.) that is monodisperse (i.e., all particles have the same diameter). a. Use Mie theory to calculate the scattering cross-section (sigma_s or C_sca) at 785 nm. The refractive index of polystyrene at 785 nm is 1.57. You may assume that the microspheres are in water (refractive index of 1.33), and that the input light is unpolarized. b. Given that a sample contains 5.68 times 10^9 particles/ml, compute the scattering coefficient (mu_s) of the microsphere solution. c. Using MATLAB, compare the scattering phase function generated with Mie Plot with that obtained using the Heyney - Greenstein formulation.Explanation / Answer
Mie solution is use for solution of Maxwell's equation for scattering by stratified spheres,cylinder or very different shapes.Mie scattering give information about the size of the scattering particle is same as to wavelength of light or not.
A=3.14*a*a
sigma(s)=Qs*A
so,
Qs= is ration of scattering cross section to geomatric cross section.
sigma(s)=1.57/1.33*3.14*785*785
=2284110 nm2 is a cross section.