Symmetry analysis and multipole classification of eigenmodes in electromagnetic resonators for engineering their optical properties

Abstract

The resonator is one of the main building blocks of a plethora of photonic and microwave devices from nanolasers to compact biosensors and magnetic resonance scanners. The symmetry of the resonators is tightly related to their mode structure and multipole content which determines the linear and non-linear response of the resonator. Here, we develop the algorithm for the classification of eigenmodes in resonators of the simplest shapes depending on their symmetry group. For each type of mode, we find its multipole content. As an illustrative example, we apply the developed formalism to the analysis of dielectric triangular prism and demonstrate the formation of high-Q resonances originated due to suppression of the scattering through the main multipole channel. The developed approach one to engineer, predict, and explain scattering phenomena and optical properties of resonators and meta-atoms basing only on their symmetry without the need for numerical simulations and it can be used for the design of new photonic and microwave devices.

13 pages, 6 figures, 5 tables

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Cited by in corpus (36)

• Pushing the Limit of High-Q Mode of a Single Subwavelength Dielectric Nanocavity
• Bound states in the continuum in photonic structures
• Bound States in the Continuum in Compact Acoustic Resonators
• Observation of supercavity modes in subwavelength dielectric resonators
• Nonlinear circular dichroism in Mie-resonant nanoparticle dimers
• Multipolar theory of bianisotropic response
• Parametric Mie resonances and directional amplification in time-modulated scatterers
• Fast simulation of light scattering and harmonic generation in axially symmetric structures in COMSOL
• Multipolar engineering of subwavelength dielectric particles for scattering enhancement
• Nonlinear optical heating of all-dielectric super-cavity: efficient light-to-heat conversion through giant thermorefractive bistability
• Directional emission of down-converted photons from a dielectric nano-resonator
• Bound States in the Continuum in Multipolar Lattices
• Multipolar expansions for scattering and optical force calculations beyond the long wavelength approximation
• Nonlinearity-induced optical torque
• Inverse Design of All-dielectric Metasurfaces with Bound States in the Continuum
• Toroidic and antitoroidic orders in hexagonal arrays of dielectric trimers: magnetic group approach
• Multipole engineering for enhanced backscattering modulation
• When does nonlinear circular dichroism appear in achiral dielectric nanoparticles?
• Degenerate bound states in the continuum in square and triangular open acoustic resonators
• Acoustic resonators: symmetry classification and multipolar content of the eigenmodes
• Optical nanoresonators
• Acoustic Lateral Recoil Force and Stable Lift of Anisotropic Particles
• Thermo-optical reshaping of SHG emission from dimerall-dielectric nanoresonators
• Polarization-dependent mode coupling in hyperbolic nanospheres
• Quasi-Babinet principle in dielectric resonators and Mie voids
• Polarization-controlled selective excitation of Mie resonances of dielectric nanoparticle on a coated substrate
• Inverse design of Mie resonators with minimal backscattering
• Switchable optical trapping of Mie-resonant phase-change nanoparticles
• Exceptional points in single open acoustic resonator due to the symmetry breaking
• Tailoring higher-order topological phases via orbital hybridization
• Optical Supertorque Induced by Mie-Resonant Modes
• Achiral nanostructures: perturbative harmonic generation and dichroism under vortex and vector beams illumination
• Nonradiant multiphoton states in quantum ring oligomers
• Experimental Study of Fabry-Perot BICs in a Microwave Waveguide
• Lattice-induced sound trapping in biperiodic metasurfaces of acoustic resonators
• Strong Mode Coupling via Quasi-Bound States in the Continuum in Bianisotropic Metasurfaces