Anderson localization in disordered LN photonic crystal slab cavities

Abstract

We present a detailed theoretical study of the effects of structural disorder on LN photonic crystal slab cavities, ranging from short to long length scales, using a fully-3D Bloch mode expansion technique. We compute the optical density of states, quality factors and effective mode volumes of the cavity modes, with and without disorder, and compare with the localized modes of the corresponding disordered photonic crystal waveguide. We demonstrate how the quality factors and effective mode volumes saturate at a specific cavity length and become bounded by the corresponding values of the Anderson modes appearing in the disordered waveguide. By means of the intensity fluctuation criterion, we observe Anderson localization for cavity lengths larger than around L31, and show that the field confinement in the disordered LN cavities is mainly determined by the local characteristics of the structural disorder as long as the confinement region is far enough from the cavity mirrors and the effective mode localization length is much smaller than the cavity length; under this regime, the disordered cavity system becomes insensitive to changes in the cavity boundaries and a good agreement with the intensity fluctuation criterion is found for localization. Surprisingly, we find that the Anderson localized modes do not appear as new disorder-induced resonances in the main spectral region of the LN cavity modes, and, moreover, the disordered DOS enhancement is largest for the disordered waveguide system with the same length. These results are fundamentally interesting for applications such as lasing and cavity-QED, and provide new insights into the role of the boundary condition on finite-size slow-light waveguides. They also point out the clear failure of using models based on the cavity boundaries/mirrors and a single slow-light Bloch mode to describe cavity systems with large N.

References in corpus (14)

• Cavity Quantum Electrodynamics with Anderson-localized Modes
• Experimental observation of strong photon localization in disordered photonic crystal waveguides
• Photonic-crystal slabs with a triangular lattice of triangular holes investigated using a guided-mode expansion method
• Threshold Characteristics of Slow-Light Photonic Crystal Lasers
• Electromagnetic modes of a disordered photonic crystal
• Photon transport enhanced by transverse Anderson localization in disordered superlattices
• Complexity of 2D random laser modes at the transition from weak scattering to Anderson localization
• Nonuniversal intensity correlations in 2D Anderson localizing random medium
• Physics of quantum light emitters in disordered photonic nanostructures
• Quantifying the intrinsic amount of fabrication disorder in photonic-crystal waveguides from optical far-field intensity measurements
• Theory and experiments of disorder-induced resonance shifts and mode edge broadening in deliberately disordered photonic crystal waveguides
• Statistics of Anderson-localized modes in disordered photonic crystal slab waveguides
• Effect of hole-shape irregularities on photonic crystal waveguides
• Soliton pulse propagation in the presence of disorder-induced multiple scattering in photonic crystal waveguides

Cited by in corpus (6)

• Exploiting long-range disorder in slow-light photonic crystal waveguides
• Disorder effects on the coupling strength of coupled photonic crystal slab cavities
• Influence of disorder on a Bragg microcavity
• Dynamics of Light Localization via Coherent Control: The Interplay of Transmission, Absorption and Disorder in Photonic Crystals
• All-optical transmission modulation due to inelastic interactions of ultrashort pulses in a disordered resonant medium
• Reducing Disorder-Induced Backscattering in Photonic Crystal Waveguides through Inverse Design