Theory, Design and Tests on a Prototype Module of a Compact ...

LIST OF FIGURES 107
3.17 The Reactance of a 41 × 10 × 2 mm iris. The dashed
line interpolates the circles that are Superfish points.
The continuous line interpolates points from Mafia. 43
3.18 Dependence of Γ on d2 (left). Dependence of Γ on
C1 (right). 43
4.1 A generic two-ports network. 45
4.2 The equivalent circuit for a single cell representing
two magnetically coupled half cavities. 46
4.3 The two-ports representing two coupled half cavities
with different parameters. 52
4.4 The relative level of field in the cavities in the
imperturbed case. 62
4.5 The relative level of field in the cavities for a generic
disposition of the cavities. 65
4.6 The relative level of field in the cavities for the best
disposition of the cavities 66
5.1 The flux diagram of the measurement <strong>and</strong> machining
procedure. 68
5.2 Electric pick-up (up) <strong>and</strong> Magnetic loop (down) for
radiofrequency measurement in cavities. 70
5.3 Mechanical tools for RF measurement on the LIBO
tiles. On the top right the use of these tools is shown. 71
5.4 The dispersion of frequencies before <strong>and</strong> after two
steps of machining on the rings for the accelerating
<strong>and</strong> coupling half cavities in the tank #1. 73
5.5 The change in frequency due to a metallic plunger for
the measurement of r over Q. 75
5.6 The result of the line method applied to two coupled
cavities. 77
5.7 The result of parabola method applied to two coupled
cavities. 78
5.8 Measurement on a stacked CC using the rods. 80
5.9 Measurement on a stacked AC using the rods. 80
5.10 Measurement for the coupling for stacked cavities. In
order to apply line <strong>and</strong> parabola methods, in addition
to the AC <strong>and</strong> CC screws, one can move also (*) rod
to change the CC frequency. 81
5.11 Measurement for the second order coupling for
stacked cavities. In order to apply line <strong>and</strong> parabola