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Figure 3.35: Unfiltered JSA, JSA + filter function, filtered JSA<br />

of heavy photon loss.<br />

In order to quantify the performance of this method we choose a common KTP<br />

waveguide chip. In KTP most of the nonlinear indices dij are vanishing [22], with<br />

the exception of:<br />

❏ d15 = 3.7 pm/V<br />

❏ d24 = 1.9 pm/V<br />

❏ d31 = 3.7 pm/V<br />

❏ d32 = 2.2 pm/V<br />

❏ d33 = 14.6 pm/V<br />

. Only a few processes remain:<br />

⎛<br />

⎝<br />

Px<br />

Py<br />

Pz<br />

⎞ ⎛<br />

0<br />

⎠ = ɛ0 ⎝ 0<br />

3.7<br />

0<br />

0<br />

2.2<br />

0<br />

0<br />

14.6<br />

0<br />

1.9<br />

0<br />

3.7<br />

0<br />

0<br />

⎞<br />

0<br />

0⎠<br />

·<br />

0<br />

pm<br />

V ·<br />

⎜ ⎟<br />

⎜ ⎟<br />

⎜ ⎟<br />

⎜ ⎟<br />

⎜<br />

⎜2EyEz<br />

⎟<br />

⎝2EzEx<br />

⎠<br />

2ExEy<br />

⎛<br />

(Ex) 2<br />

(Ey) 2<br />

(Ez) 2<br />

Five different processes are available in KTP, the strongest is a type-I downconversion<br />

process with z-polarized pump, signal and idler fields. However we have<br />

to separate the signal and idler photons after they leave the crystal and therefore<br />

must excite a type-II downconversion process, despite the smaller nonlinearities as<br />

opposed to type-I downconversion.<br />

We choose a waveguide chip with parameters depicted in Table 3.3. The chip is<br />

periodically poled in such a way that it fulfills phasematching conditions at λs,i =<br />

800 nm. KTP as a material is very common and crystals with these parameters are<br />

often applied in experiments investigating entanglement properties.<br />

⎞<br />

27

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