Photonic bands and gap maps in a photonic crystal slab

Year: 2002

Authors: Andreani L.C., Agio M.

Autors Affiliation: Univ Pavia, Dipartimento Fis A Volta, I-27100 Pavia, Italy; INFM, I-27100 Pavia, Italy.

Abstract: The photonic bands of a two-dimensional (2-D) lattice patterned in a planar waveguide are calculated by expanding the magnetic: field on the basis of waveguide modes. The method yields both the truly guided modes of the structure as well as the quasi-guided modes (or guided resonances) which lie above the light line in the first Brillouin zone. Representative results for the photonic bands are shown in the cases of strong- and weak-confinement waveguides patterned with a triangular lattice of holes. The gap maps as a function of hole radius are calculated and show significant differences with respect to the ideal 2-D case. A comparison of the photonic bands with those extracted from the calculated surface reflectance shows very good agreement, thereby indicating the reliability of the approach.

Journal/Review: IEEE JOURNAL OF QUANTUM ELECTRONICS

Volume: 38 (7)      Pages from: PII S 0018-9197  to: PII S 0018-9197

More Information: This work was supported in part by MURST through PRIN 2000 Project “One-and two-dimensional photonic crystals: Growth, theory and optical properties.” The authors are with the INFM and Dipartimento di Fisica “A. Volta,” Uni-versità di Pavia, I-27100 Pavia, Italy (e-mail: andreani@fisicavolta.unipv.it). Publisher Item Identifier S 0018-9197(02)05712-3.
KeyWords: modeling; optical materials; waveguides
DOI: 10.1109/JQE.2002.1017603

Citations: 77
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