Abstract

In this paper a numerical method, based on the well known Floquet-Bloch theory, useful to analyze the physical properties of a PBG based accelerator, is presented. The proposed model has been developed to analyze a 2D lattice characterized by a generic inclination angle between the two primitive translation vectors, thus resulting very useful when a periodic structure without an equilateral triangular or square cell has to be investigated. The numerical method has been optimized in order to account several number of space harmonics with a low CPU time and memory consumption. Comparisons with more complex numerical methods demonstrate the accuracy of our model. Several simulations have been performed to find all the geometrical parameters including the inclination angle of the unit cell, filling factor and index contrast. The proposed method, through an optimization procedure of the photonic band structure, allows to obtain a large spectral purity, high order mode suppression and high Q-values.

Highlights

  • A significant research on microwave particle accelerator devices for medical applications has received an increasing interest due to the Photonic bandgap (PBG) properties to control the light flow by a periodic plane (2D) arrangement of metallic or dielectric rods placed in a dielectric medium having a different refractive index [1, 2]

  • The proposed model has been developed to analyze a 2D lattice characterized by a generic inclination angle between the two primitive translation vectors, resulting very useful when a periodic structure without an equilateral triangular or square cell has to be investigated

  • A significant research on microwave particle accelerator devices for medical applications has received an increasing interest due to the PBG properties to control the light flow by a periodic plane (2D) arrangement of metallic or dielectric rods placed in a dielectric medium having a different refractive index [1, 2]

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Summary

A Model to Optimize a Microwave PBG

P U B L IC A T IO N S Laboratorio di Dispositivi Elettronici, Politecnico di Bari, Dipartimento di Elettrotecnica ed Elettronica, via E. 4, 70125 Bari, Italy Laboratorio di Dispositivi Elettronici, Politecnico di Bari, Dipartimento di Elettrotecnica ed Elettronica, via E. The proposed model has been developed to analyze a 2D lattice characterized by a generic inclination angle between the two primitive translation vectors, resulting very useful when a periodic structure without an equilateral triangular or square cell has to be investigated.

Introduction
THEORY
NUMERICAL RESULTS AND COMPARISONS
CONCLUSIONS
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