Journal of the European Optical Society - Rapid publications, Vol 2 (2007)

A Model to optimize a microwave PBG accelerator based on generic unit cell

R. Diana, A. Giorgio, R. Marani, V. Passaro, A.G. Perri


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.

© The Authors. All rights reserved. [DOI: 10.2971/jeos.2007.07006]

Full Text: PDF

Citation Details

Cite this article


E. I. Smirnova, C. Chen, M. A. Shapiro, R. J. Temkin, "An 11 GHz Photonic Band Gap accelerator structure with wakefield suppression" Proceedings of the 2003 Particle Accelerator Conference, 1258-1260.

M. A. Shapiro, E. I. Smirnova, C. Chen, R. J. Temkin., "Theoretical analysis of overmoded dielectric photonic band gap structures for accelerator applications" Proceedings of the 2003 Particle Accelerator Conference, 1255-1257.

A. Giorgio, A. G. Perri, M. N. Armenise, "Very fast and accurate modelling of multilayer waveguiding photonic band-gap structures" J. Lightwave Technol. 19, 1598-1613 (2001).

A. Giorgio, D. Pasqua, A. G. Perri, "Multiple Defect Characterization in Finite-Size waveguiding Photonic Band-Gap Structure" IEEE J. Quantum Elect. 1537-1547 (2003).

V. M. N. Passaro, R. Diana, M.N. Armenise, "Optical fiber Bragg gratings. Part I. Modeling of infinitely long gratings", J. Opt. Soc. Am. A, Vol. 19, 1844-1854 (2002).

V. M. N. Passaro, R. Diana, M. N. Armenise, "Optical Fiber Bragg Gratings. Part II: Modeling of Finite Length Gratings and Grating Arrays" J. Opt. Soc. Am. A, Vol. 19, 1855-1866 (2002).

R. Diana, A. Giorgio and A. G. Perri, "Theoretical Characterization of Multilayer Photonic Crystals having a 2D periodicity" Int. J. Numer. Model. El. 365-382 (2005).

J. D. Joannopoulos, R. D. Meade, J. N. Winn, Photonic Crystals (Princeton University Press 1995).

D. Serre, Matrices: Theory and Applications (Springer-Verlag, New York 2002).

A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Norwood, MA: Artech House 1995).

M. Boroditsky, R. Coccioli, and E. Yablonovitch, "Analysis of photonic crystals for light emitting diodes using the finite differences time domain technique" in Proc. SPIE 3283, 184-190 (1998).

A. J. Ward and J. B. Pendry, "A program for calculating photonic band structures, Green's functions and transmission/reflection coefficients using a nonorthogonal FDTD method" Comp. Phys. Commun. 128, 590-621 (2000).