We present a theoretical investigation devoted to the optimization of a Photonic Band-Gap (PBG) based hadron accelerator having a square lattice. The approach, based on the rigorous Floquet-Bloch theory, allows to analyze without approximations the propagation of a wave inside a two-dimensional periodic structure. Our simulations have been performed to evaluate the geometrical parameters able to improving the features of the resonator in terms of bandgap width and field confinement. Photonic band diagram and leakage factor have been shown for the structure under investigation.
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