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Spatial Characterization Of Two-Photon States - GAP-Optique

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4. OAM transfer in noncollinear configurations<br />

Laser and<br />

spatial filter HWP lenses<br />

crystal<br />

lenses<br />

filter<br />

collection<br />

system<br />

camera<br />

pinhole<br />

Figure 4.10: By rotating the crystal and the pump beam polarization, it was possible<br />

to measure the coincidences between pairs of photons at different positions over<br />

the emission cone. The photons were collected using multimode fibers and 300 µm<br />

pinholes to increase the resolution. The values of the experimental parameters are<br />

listed in table 4.3.<br />

given by the angle ρ0 = 4.9 ◦ , while the generated photons did not exhibit<br />

spatial walk-off.<br />

Table 4.3: The parameters of the experiment described in section 4.3.<br />

Parameter Value<br />

Crystal liio3<br />

L 5 mm<br />

ρ0 4.9◦ Laser cw diode<br />

wp 136 µm<br />

λp 405 nm<br />

∆λp 0.4 nm<br />

λ0 s<br />

ϕs<br />

810 nm<br />

4◦ We measured the relative position of the pump beam in the xy plane at<br />

the input and output faces of the nonlinear crystal using a ccd camera. At<br />

the output of the crystal, the beam displacement due to the Poynting vector<br />

walk-off allowed us to determine the direction of the crystal’s optical axis, and<br />

to fix its direction parallel to the pump polarization, as shown in figure 4.11.<br />

Right after the crystal, each of the generated photons passed through a<br />

2 − f system with focal length f=50 cm. Cut-off spectral filters removed the<br />

remaining pump beam radiation. After the filters, the photons were coupled<br />

into multimode fibers. In order to increase the spatial resolution, we used small<br />

pinholes with a diameter of 300 µm.<br />

We kept the idler pinhole fixed and measured the coincidence rate while<br />

mapping the signal photon’s transversal shape by scanning the detector with<br />

a motorized xy translation stage, as in the right part of figure 4.3. Finally,<br />

we rotated the crystal and the pump beam polarization to measure the spatial<br />

correlations at different azimuthal positions on the down-conversion cone. After<br />

48

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