Observation of Light Localization at the Edges of Quasicrystal Waveguide Arrays

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Main Authors: Ivanov, S. K., Zhuravitskii, S. A., Kostyuchenko, N. S., Skryabin, N. N., Dyakonov, I. V., Kalinkin, A. A., Kulik, S. P., Kompanets, V. O., Chekalin, S. V., Alyatkin, S., Ferrando, A., Kartashov, Y. V., Zadkov, V. N.
Format: Preprint
Published: 2025
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author Ivanov, S. K.
Zhuravitskii, S. A.
Kostyuchenko, N. S.
Skryabin, N. N.
Dyakonov, I. V.
Kalinkin, A. A.
Kulik, S. P.
Kompanets, V. O.
Chekalin, S. V.
Alyatkin, S.
Ferrando, A.
Kartashov, Y. V.
Zadkov, V. N.
author_facet Ivanov, S. K.
Zhuravitskii, S. A.
Kostyuchenko, N. S.
Skryabin, N. N.
Dyakonov, I. V.
Kalinkin, A. A.
Kulik, S. P.
Kompanets, V. O.
Chekalin, S. V.
Alyatkin, S.
Ferrando, A.
Kartashov, Y. V.
Zadkov, V. N.
contents Quasicrystals are unique systems that, unlike periodic structures, lack translational symmetry but exhibit long-range order dramatically enriching the system properties. While evolution of light in the bulk of photonic quasicrystals is well studied, experimental evidences of light localization near the edge of truncated photonic quasicrystal structures are practically absent. In this Letter, we observe both linear and nonlinear localization of light at the edges of radially cropped quasicrystal waveguide arrays, forming an aperiodic Penrose tiling. Our theoretical analysis reveals that for certain truncation radii, the system exhibits linear eigenstates localized at the edge of the truncated array, whereas for other radii, this localization does not occur, highlighting the significant influence of truncation on edge light localization. Using single-waveguide excitations, we experimentally confirm the presence of localized states in Penrose arrays inscribed by a femtosecond laser and investigate the effects of nonlinearity on these states. Our theoretical findings identify a family of edge solitons, and experimentally, we observe a transition from linear localized states to edge solitons as the power of the input pulse increases. Our results represent the first experimental demonstration of localization phenomena induced by the selective truncation of quasiperiodic photonic systems.
format Preprint
id arxiv_https___arxiv_org_abs_2503_17086
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Observation of Light Localization at the Edges of Quasicrystal Waveguide Arrays
Ivanov, S. K.
Zhuravitskii, S. A.
Kostyuchenko, N. S.
Skryabin, N. N.
Dyakonov, I. V.
Kalinkin, A. A.
Kulik, S. P.
Kompanets, V. O.
Chekalin, S. V.
Alyatkin, S.
Ferrando, A.
Kartashov, Y. V.
Zadkov, V. N.
Optics
Pattern Formation and Solitons
Quasicrystals are unique systems that, unlike periodic structures, lack translational symmetry but exhibit long-range order dramatically enriching the system properties. While evolution of light in the bulk of photonic quasicrystals is well studied, experimental evidences of light localization near the edge of truncated photonic quasicrystal structures are practically absent. In this Letter, we observe both linear and nonlinear localization of light at the edges of radially cropped quasicrystal waveguide arrays, forming an aperiodic Penrose tiling. Our theoretical analysis reveals that for certain truncation radii, the system exhibits linear eigenstates localized at the edge of the truncated array, whereas for other radii, this localization does not occur, highlighting the significant influence of truncation on edge light localization. Using single-waveguide excitations, we experimentally confirm the presence of localized states in Penrose arrays inscribed by a femtosecond laser and investigate the effects of nonlinearity on these states. Our theoretical findings identify a family of edge solitons, and experimentally, we observe a transition from linear localized states to edge solitons as the power of the input pulse increases. Our results represent the first experimental demonstration of localization phenomena induced by the selective truncation of quasiperiodic photonic systems.
title Observation of Light Localization at the Edges of Quasicrystal Waveguide Arrays
topic Optics
Pattern Formation and Solitons
url https://arxiv.org/abs/2503.17086