Bound states in the continuum in symmetric and asymmetric photonic crystal slabs

Abstract

We develop a semi-analytical model to describe bound states in the continuum (BICs) in photonic crystal slabs. We model leaky modes supported by photonic crystal slabs as a transverse Fabry-Perot resonance composed of a few propagative Bloch waves bouncing back and forth vertically inside the slab. This multimode Fabry-Perot model accurately predicts the existence of BICs and their positions in the parameter space. We show that, regardless of the slab thickness, BICs cannot exist below a cut-off frequency, which is related to the existence of the second-order Bloch wave in the photonic crystal. Thanks to the semi-analyticity of the model, we investigate the dynamics of BICs with the slab thickness in symmetric and asymmetric photonic crystal slabs. We evidence that the symmetry-protected BICs that exist in symmetric structures at the Γ-point of the dispersion diagram can still exist when the horizontal mirror symmetry is broken, but only for particular values of the slab thickness.

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• Fabry-Perot Bound States in the Continuum in an Anisotropic Photonic Crystal
• Analytical non-Hermitian description of Photonic Crystals with arbitrary Lateral and Transverse symmetry
• Robustness of Bound States in the Continuum in Bilayer Structures against Symmetry Breaking
• Bound state in the continuum in an anisotropic photonic crystal supported by full-wave phase plate
• Parity-Time Symmetry and Exceptional points: A Tutorial
• How many parameters do we need to obtain a BIC in symmetric and asymmetric structures?
• Solitary Spectrally-Discrete Bound States in the Continuum in an Open System
• Bound states in the continuum in a fluxonium qutrit