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Structural entropy and spatial decay of quasimodes in Vogel spirals
Physical Review B ( IF 3.2 ) Pub Date : 2021-11-29 , DOI: 10.1103/physrevb.104.184204 M. Prado , F. Sgrignuoli , Y. Chen , L. Dal Negro , F. A. Pinheiro
Physical Review B ( IF 3.2 ) Pub Date : 2021-11-29 , DOI: 10.1103/physrevb.104.184204 M. Prado , F. Sgrignuoli , Y. Chen , L. Dal Negro , F. A. Pinheiro
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We investigate the spatial decay and temporal localization properties of quasimodes (i.e., scattering resonances) of two-dimensional Vogel spirals, composed of deterministic, aperiodic arrays of electric dipoles. By determining the structural entropy and localization maps of Vogel spirals using the Green's matrix method, we show that three distinctive decay types of quasimodes coexist in Vogel spirals: exponential, power law, and Gaussian. While the exponential and the power-law decays typically occur in disordered media and multifractal systems, respectively, the Gaussian decay is demonstrated to characterize, on average, the most localized quasimodes of Vogel spirals, both spatially (smallest participation ratios) and temporally (longest lifetimes). These decay forms are demonstrated by a no-fitting analysis of the localization maps, independently corroborated by calculating the electric field in real space, which also provides a direct evidence of the algebraic spatial decay of critical quasimodes. Altogether our findings unveil a rich spectrum of both long-lived and spatially localized quasimodes that coexist in Vogel spirals and can be of direct relevance to novel optical functionalities for applications to light sources and sensing devices.
更新日期：2021-11-29
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