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

Gladyshev, S. A.; Frizyuk, Kristina; Bogdanov, Andrey

doi:10.1103/physrevb.102.075103

Cited by 74 publications

(43 citation statements)

References 63 publications

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“…However, the multipole decomposition of the scattering spectra reveals that while the electric dipole radiation can be significantly suppressed, EDAs display nonnegligible contributions of the magnetic quadrupole to radiation. [ 34 ] This corresponds to a fundamental limitation of the EDA design, since modes of resonators with inversion symmetry in the z ‐direction will always radiate as combinations of multipoles possessing even or odd parity, [ 60,61 ] and can only be overcome with careful tuning of the incident beam profile. [ 62 ]…”

Section: Resultsmentioning

confidence: 99%

Theory, Observation, and Ultrafast Response of the Hybrid Anapole Regime in Light Scattering

Valero

Gurvitz

Benimetskiy

et al. 2021

Laser & Photonics Reviews

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Modern nanophotonics has witnessed the rise of “electric anapoles” (EDAs), destructive interferences of electric and toroidal electric dipoles, actively exploited to resonantly decrease radiation from nanoresonators. However, the inherent duality in Maxwell equations suggests the intriguing possibility of “magnetic anapoles,” involving a nonradiating composition of a magnetic dipole and a magnetic toroidal dipole. Here, a hybrid anapole (HA) of mixed electric and magnetic character is predicted and observed experimentally via dark field spectroscopy, with all the dominant multipoles being suppressed by the toroidal terms in a nanocylinder. Breaking the spherical symmetry allows to overlap up to four anapoles stemming from different multipoles with just two tuning parameters. This effect is due to a symmetry‐allowed connection between the resonator multipolar response and its eigenstates. The authors delve into the physics of such current configurations in the stationary and transient regimes and explore new ultrafast phenomena arising at sub‐picosecond timescales, associated with the HA dynamics. The theoretical results allow the design of non‐Huygens metasurfaces featuring a dual functionality: perfect transparency in the stationary regime and controllable ultrashort pulse beatings in the transient. Besides offering significant advantages with respect to EDAs, HAs can play an essential role in developing the emerging field of ultrafast resonant phenomena.

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Section: Resultsmentioning

confidence: 99%

Theory, Observation, and Ultrafast Response of the Hybrid Anapole Regime in Light Scattering

Valero

Gurvitz

Benimetskiy

et al. 2021

Laser & Photonics Reviews

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“…This regime can be associated with supercavity modes also known as quasi‐BICs. Recently, it was shown that the change of the resonator's size can play a role of the interaction between the modes and the radiation losses can be suppressed dramatically via continuous deformation indicating the formation of a high‐ Q supercavity mode [ 9,10,26 ] ( Figure a). The supercavity modes were recently used to develop an efficient laser with subwavelength dimensions, [ 27 ] based on earlier research of compact semiconductor nanolasers made of individual high‐index nanoparticles.…”

Section: Figurementioning

confidence: 99%

Observation of Supercavity Modes in Subwavelength Dielectric Resonators

et al. 2020

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“…Originally, Friedrich and Wintgen suggested that interference between two modes causes avoid-crossing and leads to the formation of BIC with an infinite Q-factor. 22 The avoided crossing was used to realize BIC in quantum, 23 optics, [14][15][16][17][18][19][20][21]24 and acoustic systems. 25 When the system deviates from the ideal situation (i.e., destructive interference among different diffraction channels), it will convert the ideal BIC into QBIC with a finite Qfactor.…”

Section: General Design Principle Of High-q Modesmentioning

confidence: 99%

“…Recently, it has been demonstrated that a single dielectric structure can support a high-Q cavity mode, realized in several specific examples [also referred to as quasi-BIC (QBIC)]. [14][15][16][17][18][19][20][21] Despite that, it is still necessary to develop a robust approach of finding out all high-Q modes in dielectric cavities of arbitrary shapes, including structures with a rectangular cross section for both two-dimensional (2D) and threedimensional (3D) cases (i.e., rectangular wire, cylinder with finite thickness, and cuboid) since they can be easily fabricated with current nanofabrication technology.…”

Section: Introductionmentioning

confidence: 99%

Pushing the limit of high-Q mode of a single dielectric nanocavity

et al. 2021

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High-index dielectric resonators support different types of resonant modes. However, it is challenging to achieve a high-Q factor in a single dielectric nanocavity due to the non-Hermitian property of the open system. We present a universal approach of finding out a series of high-Q resonant modes in a single nonspherical dielectric cavity with a rectangular cross section by exploring the quasi bound-state-in-thecontinuum (QBIC). Unlike conventional methods relying on heavy brutal force computations (i.e., frequency scanning by the finite difference time domain method), our approach is built upon Mie mode engineering, through which many high-Q modes can be easily achieved by constructing avoid-crossing (or crossing) of the eigenvalue for pair-leaky modes. The calculated Q-factor of mode TE(5,7) can be up to Q theory ¼ 2.3 × 10 4 for a freestanding square nanowire (NW) (n ¼ 4), which is 64 times larger than the highest Q-factor (Q theory ≈ 360) reported so far in a single Si disk. Such high-Q modes can be attributed to suppressed radiation in the corresponding eigenchannels and simultaneously quenched electric (magnetic) field at momentum space. As a proof of concept, we experimentally demonstrate the emergence of the high-Q resonant modes [Q ≈ 211 for mode TE(3,4), Q ≈ 380 for mode TE(3,5), and Q ≈ 294 for mode TM(3,5)] in the scattering spectrum of a single silicon NW.

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

Cited by 74 publications

References 63 publications

Theory, Observation, and Ultrafast Response of the Hybrid Anapole Regime in Light Scattering

Theory, Observation, and Ultrafast Response of the Hybrid Anapole Regime in Light Scattering

Observation of Supercavity Modes in Subwavelength Dielectric Resonators

Pushing the limit of high-Q mode of a single dielectric nanocavity

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