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We present the key results from a comprehensive study of the refraction and focusing properties of a two-dimensional dodecagonal photonic ``quasicrystal'' (PQC), carried out via both full-wave numerical simulations and microwave…

In this paper, we study the radiation from embedded sources in two-dimensional finite-size "photonic-quasicrystal" (PQC) slabs made of dielectric rods arranged according to a 12-fold symmetric aperiodic tiling. The results from our…

We present the experimental observation of the superlensing effect in a slab of a one-dimensional photonic crystal made of tilted dielectric elements. We show that this flat lens can achieve subwavelength resolution in different frequency…

Optics · Physics 2015-05-13 Salvatore Savo , Emiliano Di Gennaro , Antonello Andreone

In a recent Letter we proposed a means to realize a quasicrystal with eight-fold symmetry by trapping particles in an optical potential created by four lasers. The quasicrystals obtained in this way, which are closely related to the…

Statistical Mechanics · Physics 2014-03-05 Anuradha Jagannathan , Michel Duneau

We study propagation of light in square and hexagonal two-dimensional photonic crystals. We show, that slabs of these crystals focus light with subwavelength resolution. We propose a systematic way to increase this resolution, at an…

Materials Science · Physics 2009-11-10 X. Wang , Z. F. Ren , K. Kempa

Quasicrystals have a higher degree of rotational and point-reflection symmetry than conventional crystals. As a result, quasicrystalline heterostructures fabricated from dielectric materials with micrometer-scale features exhibit…

Soft Condensed Matter · Physics 2009-11-11 Yael Roichman , David G. Grier

2D dielectric photonic quasicrystals can be designed to show isotropic band gaps. The system here studied is a quasiperiodic lattice made of silicon dielectric cylinders arranged as periodic unit cell based on a decagonal approximant of a…

Optics · Physics 2021-07-21 Angel Andueza , Joaquin Sevilla , Jesus Perez-Conde , Kang Wang

In this paper we study the characteristics of subwavelength imaging of a photonic crystal (PhC) superlens under the influence of source displacement. For square- and triangular-lattice photonic crystal lenses, we investigate the influence…

Optics · Physics 2015-05-20 Pi-Gang Luan , Chen-Yu Chiang , Hsiao-Yu Yeh

This paper describes how one can use four standing wave laser fields to realize a two dimensional optical quasicrystal with eight-fold symmetry, closely related to the well-known octagonal or Ammann-Beenker tiling quasicrystal. We describe…

Quantum Gases · Physics 2023-07-19 Anuradha Jagannathan , Michel Duneau

Quasicrystals are ubiquitous in nature. Beyond crystalline solids, they can be created as optically induced or technologically fabricated structures in photonic and phononic systems, as potentials for cold atoms and Bose-Einstein…

All-dielectric photonic quasicrystals may act as zero-refractive-index homogeneous materials despite their lack of translational symmetry and periodicity, stretching wavelengths to infinity and offering applications in light wavefront…

Optics · Physics 2016-04-28 Svetlana V. Boriskina

Quasicrystals are nonperiodic structures having no translational symmetry but nonetheless possessing long-range order. The material properties of quasicrystals, particularly their low-temperature behavior, defy easy description. We present…

Optics · Physics 2019-03-18 Theodore A. Corcovilos , Jahnavee Mittal

Quasicrystals,characterized by long-range order without translational symmetry,have catalyzed transformative advances in various fields,including optics in terms of field quasicrystals.Here,we present the first demonstration of photonic…

Optics · Physics 2024-07-15 Min Lin , Xinxin Gou , Zhenwei Xie , Aiping Yang , Luping Du , Xiaocong Yuan

Cylinder-shaped perfect lens deduced from the coordinate transformation method is proposed. The previously reported perfect slab lens is noticed to be a limiting form of the cylindrical lens when the inner radius approaches infinity with…

Optics · Physics 2008-09-30 Min Yan , Wei Yan , Min Qiu

Based on the exact numerical simulation and physical analysis, we have demonstrated all-angle single-beam left-handed behavior and superlens for both transverse electric and transverse magnetic modes in a twodimensional coated photonic…

Other Condensed Matter · Physics 2007-05-23 Xiangdong Zhang Xiangdong Zhang

Light confinement induced by resonant states in aperiodic photonic structures are interesting for many applications. A particular case of these resonances can be found in 2D quasi-crystalline arrangements of dielectric cylinders. These…

Optics · Physics 2016-09-21 Angel Andueza , Kang Wang , Jesus Perez-Conde , Joaquin Sevilla

Multiple-beam holography has been widely used for the realization of photonic quasicrystals with high rotational symmetries not achievable by the conventional periodic crystals. Accurate control of the properties of the interfering beams is…

Optics · Physics 2013-11-05 G Zito , B Piccirillo , E Santamato , A Marino , V Tkachenko , G Abbate

Our understanding of physical properties of quasicrystals owes a great deal to studies of tight-binding models constructed on quasiperiodic tilings. Among the large number of possible quasiperiodic structures, two dimensional tilings are of…

Strongly Correlated Electrons · Physics 2025-07-01 Anuradha Jagannathan , Michel Duneau

Several combinatorial problems of (quasi-)crystallography are reviewed with special emphasis on a unified approach, valid for both crystals and quasicrystals. In particular, we consider planar sublattices, similarity sublattices,…

Mathematical Physics · Physics 2007-05-23 Michael Baake , Uwe Grimm

In this paper, we report on the first evidence of guided resonances (GRs) in aperiodically-ordered photonic crystals, tied to the concept of "quasicrystals" in solid-state physics. Via a full-wave numerical study of the transmittance…

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