Coherent Backscattering from Multiple Scattering Systems - KOPS ...
Coherent Backscattering from Multiple Scattering Systems - KOPS ...
Coherent Backscattering from Multiple Scattering Systems - KOPS ...
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5.1 Conservation of energy in coherent backscattering<br />
Calculation with free space photon density distribution:<br />
0<br />
t = 10 −11 s<br />
0<br />
t = 10 −10 s<br />
0<br />
t = 10 −9 s<br />
1e8<br />
z [mm]<br />
10<br />
20<br />
30<br />
10<br />
20<br />
30<br />
10<br />
20<br />
30<br />
1e6<br />
1e4<br />
40<br />
40<br />
40<br />
1e2<br />
50<br />
−20 0 20<br />
r [mm]<br />
50<br />
−20 0 20<br />
r [mm]<br />
50<br />
−20 0 20<br />
0<br />
r [mm]<br />
Calculation with photon density distribution of the infinite half-space:<br />
0<br />
t = 10 −11 s<br />
0<br />
t = 10 −10 s<br />
0<br />
t = 10 −9 s<br />
10<br />
10<br />
10<br />
1e6<br />
z [mm]<br />
20<br />
30<br />
20<br />
30<br />
20<br />
30<br />
1e4<br />
40<br />
40<br />
40<br />
1e2<br />
50<br />
−20 0 20<br />
r [mm]<br />
50<br />
−20 0 20<br />
r [mm]<br />
50<br />
−20 0 20<br />
0<br />
r [mm]<br />
Figure 5.3: Calculated photon density distributions in the Teflon sample. The upper<br />
row shows the density distributions calculated as a cutout of free space, the lower row<br />
as a cutout of the infinite half-space. Note that the color axes are logarithmic. Assumed<br />
sample parameters: radius R = 20 mm, thickness L = 50 mm, diffusion coefficient<br />
D = 16500 m2 /s, absorption time τ = 3.3 ns, transport mean free path l ∗ = 220 µm,<br />
refractive index n = 1.35.<br />
47