Quasinormal-mode description of waves in one-dimensional photonic crystals

A. Settimi, S. Severini, N. Mattiucci, C. Sibilia, M. Centini, G. D’Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden
Phys. Rev. E 68, 026614 – Published 29 August 2003
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Abstract

Quasinormal-mode treatment is extended to the description of scalar field behavior in one-dimensional photonic crystals. A one-dimensional photonic crystal is a particular configuration of an open cavity, where discontinuities of the refractive index give rise to field confinement. This paper presents, for a one-dimensional photonic crystal, a discussion about the completeness of the quasinormal-mode representation and, moreover, a discussion on the complex eigenfrequencies, as well as the corresponding field distribution. The concept of density of modes is also discussed in terms of quasinormal modes.

  • Received 21 May 2002

DOI:https://doi.org/10.1103/PhysRevE.68.026614

©2003 American Physical Society

Authors & Affiliations

A. Settimi, S. Severini, N. Mattiucci, C. Sibilia*, M. Centini, G. D’Aguanno, and M. Bertolotti

  • INFM at Dipartimento di Energetica, Università “La Sapienza” di Roma, Via A. Scarpa 16, 00161 Roma, Italy

M. Scalora, M. Bloemer, and C. M. Bowden

  • Weapons Sciences Directorate, AMSMI-RD-WS-ST, RD&E Center, U.S. Army Missile Command, Building 7804, Redstone Arsenal, Alabama 35898-5000, USA

  • *FAX: +39 06 442 40 183; email address: concita.sibilia@ uniromal.it

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Vol. 68, Iss. 2 — August 2003

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