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Main Authors: Coppolaro, Marino, Moccia, Massimo, Castaldi, Giuseppe, Galdi, Vincenzo
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2505.20039
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author Coppolaro, Marino
Moccia, Massimo
Castaldi, Giuseppe
Galdi, Vincenzo
author_facet Coppolaro, Marino
Moccia, Massimo
Castaldi, Giuseppe
Galdi, Vincenzo
contents We present a theoretical framework for analyzing aperiodically ordered photonic time quasicrystals (PTQCs), which are the temporal analogs of spatial photonic quasicrystals. Using a general two-symbol substitutional sequence to model temporal modulations, we extend the trace and anti-trace map formalism used for spatial photonic quasicrystals to the temporal domain. Focusing on the Thue-Morse sequence as a representative example, we examine the band structure and wave-transport properties, discussing their physical origins and highlighting both similarities and key differences with conventional periodic photonic time crystals. Furthermore, we investigate the peculiar features of PTQCs, such as multiscale spectral response and localization effects. Our findings provide valuable insights into the complex interplay between aperiodic order and wave dynamics in time-varying media, highlighting its potential to enable the development of advanced photonic devices.
format Preprint
id arxiv_https___arxiv_org_abs_2505_20039
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Exploring Aperiodic Order in Photonic Time Crystals
Coppolaro, Marino
Moccia, Massimo
Castaldi, Giuseppe
Galdi, Vincenzo
Optics
Materials Science
We present a theoretical framework for analyzing aperiodically ordered photonic time quasicrystals (PTQCs), which are the temporal analogs of spatial photonic quasicrystals. Using a general two-symbol substitutional sequence to model temporal modulations, we extend the trace and anti-trace map formalism used for spatial photonic quasicrystals to the temporal domain. Focusing on the Thue-Morse sequence as a representative example, we examine the band structure and wave-transport properties, discussing their physical origins and highlighting both similarities and key differences with conventional periodic photonic time crystals. Furthermore, we investigate the peculiar features of PTQCs, such as multiscale spectral response and localization effects. Our findings provide valuable insights into the complex interplay between aperiodic order and wave dynamics in time-varying media, highlighting its potential to enable the development of advanced photonic devices.
title Exploring Aperiodic Order in Photonic Time Crystals
topic Optics
Materials Science
url https://arxiv.org/abs/2505.20039