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

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List <strong>of</strong> Figures<br />

1.1 The Bragg peak phenomen<strong>on</strong>. Comparis<strong>on</strong> between<br />

prot<strong>on</strong> <str<strong>on</strong>g>and</str<strong>on</strong>g> electr<strong>on</strong> penetrati<strong>on</strong> depth in water. Also<br />

shown is a prot<strong>on</strong> depth dose curve with a spread-out<br />

Bragg (SOBP) <strong>of</strong> 5 cm. 4<br />

1.2 The Spread out Bragg peak. Combining beams<br />

with different energies it is possible to describe a<br />

l<strong>on</strong>gitudinal pr<strong>of</strong>ile. 5<br />

1.3 A sketch <strong>of</strong> Loma Linda radiotherapy center in<br />

California. 5<br />

2.1 Dispersi<strong>on</strong> diagram <strong>of</strong> a periodic structure (loaded<br />

waveguide); unloaded cavity case is shown for<br />

comparis<strong>on</strong>. 8<br />

2.2 N + 1 coupled cavities. The first <str<strong>on</strong>g>and</str<strong>on</strong>g> last cells are<br />

half cavities which act as an electric mirror for the<br />

boundary c<strong>on</strong>diti<strong>on</strong>s. 9<br />

2.3 N = 7 coupled cavities. The Brillouin diagram is<br />

sampled in 7 frequencies. We can recognize modes 0,<br />

π/2 <str<strong>on</strong>g>and</str<strong>on</strong>g> π. 10<br />

2.4 Schematic view <strong>of</strong> the Wideröe drift-tube linac. 12<br />

2.5 Schematic view <strong>of</strong> the Alvarez drift-tube linac. 13<br />

2.6 Schematic view <strong>of</strong> the Side Coupled Drift-Tube Linac. 14<br />

2.7 Different soluti<strong>on</strong>s for the realizati<strong>on</strong> <strong>of</strong> a biperiodic<br />

chain <strong>of</strong> cavities. 15<br />

2.8 A Side Coupled Linac example. 15<br />

2.9 The dispersi<strong>on</strong> diagrams in the case <strong>of</strong> a biperiodic<br />

structure with fa = 3 GHz, fc = 3 GHz, k = 0.04,<br />

k2 = 0.005 <str<strong>on</strong>g>and</str<strong>on</strong>g> k3 = 0 <strong>on</strong> the left <str<strong>on</strong>g>and</str<strong>on</strong>g> fc = fa/ √ 1 − k2<br />

<strong>on</strong> the right. 16<br />

2.10 A perspective image <strong>of</strong> a LIBO installati<strong>on</strong>. 17<br />

2.11 The layout <strong>of</strong> the first module <strong>of</strong> LIBO, with details<br />

<strong>of</strong> a half-cell-plate (left) <str<strong>on</strong>g>and</str<strong>on</strong>g> <strong>of</strong> a bridge coupler<br />

(right). 18<br />

105

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