Quasi Normal Modes description of transmission properties for Photonic Band Gap structures

Abstract

In this paper, we use the 'Quasi Normal Modes' (QNM) approach for discussing the transmission properties of double-side opened optical cavities: in particular, this approach is specified for one dimensional (1D) 'Photonic Band Gap' (PBG) structures. Moreover, we conjecture that the density of the modes (DOM) is a dynamical variable which has the flexibility of varying with respect to the boundary conditions as well as the initial conditions; in fact, the e.m. field generated by two monochromatic counter-propagating pump waves leads to interference effects inside a quarter-wave (QW) symmetric 1D-PBG structure. Finally, here, for the first time, a large number of theoretical assumptions on QNM metrics for an open cavity, never discussed in literature, are proved, and a simple and direct method to calculate the QNM norm for a 1D-PBG structure is reported.

arXiv comment43 pages, 10 figures, submitted to JOSA B

References in corpus (3)

• Waves in Open Systems: Eigenfunction Expansions
• Second-quantization of open systems using quasinormal modes
• Jordan blocks and generalized bi-orthogonal bases: realizations in open wave systems

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