Ok Itzon,
Start making a cell with a rod inside and with water inlet just like the drawing. Than make the vic that should have the primary and the secondary and the chokes on it except the amp inhibiting coil.
I would make the coils as described by stan 200 primary 600 secondary and 100 turns each choke i would use 22awg for the primary and maybe 28 for the secondary and 22 again for the chokes, so as the pulsing circuit, i mean using bipolar transistors. For the sake of the replication precision make it close to the picture don showed of the vic. With the chokes separated. I believe there will be too high voltage between them.
I think that the amp inhibiting coil should be high inductance, i think that we need to account for the capacitance of the water inlet to the plates. While the resonant frequency will be matched by the charging chokes by the plates to plate capacitance.
I think might be important the position of the ground in reference to the cavity, mind that.
Good tests for you