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

106 LIST OF FIGURES
2.12 Drawing of the first tank of first LIBO module (left).
The first tank after the brazing (right). 18
2.13 Half-cell-plates showing a coupling half cell (left) <strong>and</strong>
an accelerating half cell (right). Note the coupling
slot. 18
3.1 Schematic view of a Linac. 23
3.2 The design of a Linac with a top-down methodology. 24
3.3 The behavior of Kilpatrick formula 3.1. 26
3.4 The equivalent circuit for two half cavities coupled
through a cavity with different parameters (coupling
cell). 28
3.5 Spice simulation for a periodic chain without next
nearest neighbor coupling. 30
3.6 Spice simulation for a periodic chain without next
nearest neighbor coupling. The coupling cavities are
nominally uncharged. 30
3.7 Spice simulation for a periodic chain with next
nearest neighbor coupling. 31
3.8 Spice simulation for a biperiodic chain with next
nearest neighbor coupling. 31
3.9 Particulars of the machinable ring <strong>and</strong> of the tuning
rod hole for the coupling cavities (top) <strong>and</strong> for the
accelerating cavities (down). 34
3.10 Schematic view of the Bridge Coupler functionality. 35
3.11 The LIBO Bridge Coupler with the feeding waveguide. 36
3.12 Coupling between the waveguide <strong>and</strong> Bridge Coupler.
The structure simulated with MAFIA having two
waveguides <strong>and</strong> one cavity. 38
3.13 The equivalent circuit of the structure simulated
with MAFIA. Two transmission lines <strong>and</strong> a purely
reactance. 39
3.14 An example of reactance coming from MAFIA. The
iris has dimensions 35 × 10 × 2 mm (model made in
Naples). 39
3.15 The equivalent circuit of the reactance Xi of the
coupling mechanism (left) <strong>and</strong> a possible equivalent
circuit from the cavity point of view (right). 40
3.16 The final equivalent circuit for a cavity seen from the
waveguide through the iris. 41