Gap deformation and classical wave localization in disordered two-dimensional photonic band gap materials

Abstract

By using two ab initio numerical methods we study the effects that disorder has on the spectral gaps and on wave localization in two-dimensional photonic band gap materials. We find that there are basically two different responses depending on the lattice realization (solid dielectric cylinders in air or vise versa), the wave polarization, and the particular form under which disorder is introduced. Two different pictures for the photonic states are employed, the ``nearly free'' photon and the ``strongly localized'' photon. These originate from the two different mechanisms responsible for the formation of the spectral gaps, ie. multiple scattering and single scatterer resonances, and they qualitatively explain our results.

Accepted for publication in Phys. Rev. B

References in corpus (1)

• Tight-binding parameterization for photonic band gap materials

Cited by in corpus (16)

• Liquid-infiltrated photonic crystals - enhanced light-matter interactions for lab-on-a-chip applications
• Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast
• Light in correlated disordered media
• Observation of Spatial Fluctuations of the Local Density of States in Random Media
• A Novel Photonic Material for Designing Arbitrarily Shaped Waveguides in Two Dimensions
• Photonic Band Gap Effects in Two-dimensional Polycrystalline and Amorphous Structures
• Isotropic photonic band gap and anisotropic structures in transmission spectra of two-dimensional 5-fold and 8-fold symmetric quasiperiodic photonic crystals
• Resonant self-pulsations in coupled nonlinear microcavities
• Disordered graphene and boron nitride in a microwave tight-binding analog
• Robustness of One-Dimensional Photonic Bandgaps Under Random Variations of Geometrical Parameters
• Experimental characterization of rigid scatterer hyperuniform distributions for audible acoustics
• Mesoscopic magnetism in dielectric photonic crystal meta materials: topology and inhomogeneous broadening
• Observation of light propagation through a three-dimensional cavity superlattice in a 3D photonic band gap
• A multiscale continuous Galerkin method for stochastic simulation and robust design of photonic crystals
• Emergence of semi-localized Anderson modes in a disordered photonic crystal as a result of overlap probability
• Glassy magnetic freezing of interacting clusters in LK-99-family materials