Local symmetries and perfect transmission in aperiodic photonic multilayers

Abstract

We develop a classification of perfectly transmitting resonances occuring in effectively one-dimensional optical media which are decomposable into locally reflection symmetric parts. The local symmetries of the medium are shown to yield piecewise translation-invariant quantities, which are used to distinguish resonances with arbitrary field profile from resonances following the medium symmetries. Focusing on light scattering in aperiodic multilayer structures, we demonstrate this classification for representative setups, providing insight into the origin of perfect transmission. We further show how local symmetries can be utilized for the design of optical devices with perfect transmission at prescribed energies. Providing a link between resonant scattering and local symmetries of the underlying medium, the proposed approach may contribute to the understanding of optical response in complex systems.

8 pages, 4 figures

References in corpus (7)

• Resonant Photonic Quasicrystalline and Aperiodic Structures
• Perfect transmission and highly asymmetric light localization in photonic multilayers
• Bistability, multistability and nonreciprocal light propagation in Thue-Morse multilayered structures
• Spectral scalability as a result of geometrical self-similarity in fractal multilayers
• Local symmetries in one-dimensional quantum scattering
• Constraints on transmission, dispersion, and density of states in dielectric multilayers and stepwise potential barriers with arbitrary layer arrangement
• A new type of solution of the Schrödinger equation on a self-similar fractal potential

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