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Related papers: 3-D phononic crystals with ultra-wide band gaps

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We perform full 3D topology optimization (in which "every voxel" of the unit cell is a degree of freedom) of photonic-crystal structures in order to find optimal omnidirectional band gaps for various symmetry groups, including fcc…

Computational Physics · Physics 2014-09-19 Han Men , Karen Y. K. Lee , Robert M. Freund , Jaime Peraire , Steven G. Johnson

Topological photonic crystals have received considerable attention for their ability to manipulate and guide light in unique ways. They are typically designed by hand based on careful analysis of their bands and mode profiles, but recent…

Topological photonic crystals (PCs) can support robust edge modes to transport electromagnetic energy in an efficient manner. Such edge modes are the eigenmodes of the PDE operator for a joint optical structure formed by connecting together…

Optimization and Control · Mathematics 2024-07-30 Chiu-Yen Kao , Junshan Lin , Braxton Osting

We consider two-dimensional phononic crystals formed from silicon and voids, and present optimized unit cell designs for (1) out-of-plane, (2) in-plane and (3) combined out-of-plane and in-plane elastic wave propagation. To feasibly search…

Computational Physics · Physics 2013-04-23 Osama R. Bilal , Mahmoud I. Hussein

By using the non-dominated sorting-based genetic algorithm II, we study the topology optimization of the two-dimensional phoxonic crystals (PxCs) with simultaneously maximal and complete photonic and phononic bandgaps. Our results show that…

Mesoscale and Nanoscale Physics · Physics 2018-11-09 Hao-Wen Dong , Yue-Sheng Wang , Tian-Xue Ma , Xiao-Xing Su

Phononic crystals enable precise manipulation of elastic wave propagation through engineered bandgaps; however, designing defect states within these bandgaps for frequency-selective applications remains a significant challenge. Existing…

Materials Science · Physics 2026-05-27 Xinlin Xu , Junji Kato

In this paper we present a comprehensive study on the multi-objective optimization of two-dimensional porous phononic crystals (PnCs) in both square and triangular lattices with the reduced topology symmetry of the unit-cell. The fast…

Materials Science · Physics 2018-11-09 Hao-Wen Dong , Yue-Sheng Wang , Yan-Feng Wang , Chuanzeng Zhang

In this paper we present a Graphical Processing Unit accelerated mixed variational formulation for fast phononic band-structure calculation of arbitrarily complex unit cells and report speed gains of a hundred fold over unoptimized serial…

Materials Science · Physics 2013-10-25 Ankit Srivastava

Designing topological materials with specific topological indices is a complex inverse problem, traditionally tackled through manual, intuition-driven methods that are neither scalable nor efficient for exploring the vast space of possible…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Samuel Bird , Chiara Devescovi , Pascal Engeler , Agnes Valenti , Doruk Efe Gökmen , Robin Worreby , Valerio Peri , Sebastian D. Huber

The paper deals with optimization of the acoustic band gaps computed using the homogenized model of strongly heterogeneous elastic composite which is constituted by soft inclusions periodically distributed in stiff elastic matrix. We employ…

Computational Physics · Physics 2020-02-14 Jaroslav Vondřejc , Eduard Rohan , Jan Heczko

Photonic crystals (PhCs) are periodic dielectric structures that exhibit unique electromagnetic properties, such as the creation of band gaps where electromagnetic wave propagation is inhibited. Accurately predicting dispersion relations,…

Numerical Analysis · Mathematics 2024-11-12 Yueqi Wang , Richard Craster , Guanglian Li

Spectral gaps in the vibrational modes of disordered solids are key design elements in the synthesis and control of phononic metamaterials that exhibit a plethora of novel elastic and mechanical properties. However, reliably producing these…

Soft Condensed Matter · Physics 2021-03-19 Yuanjian Zheng , Shivam Mahajan , Joyjit Chattoraj , Massimo Pica Ciamarra

We demonstrate the existence of large phononic band gaps in designed hyperuniform (isotropic) disordered two-dimensional (2D) phononic structures of Pb cylinders in epoxy matrix. The phononic band gaps in hyperuniform disordered phononic…

Disordered Systems and Neural Networks · Physics 2017-04-05 George Gkantzounis , Timothy Amoah , Marian Florescu

Topological photonics provides a robust and flexible platform for controlling light, enabling functionalities such as backscattering-immune edge transport and slow-light propagation. In this work, we design and characterize photonic…

Optics · Physics 2025-05-12 Ondřej Novák , Martin Veis , Gervasi Herranz

We present designs of 2D isotropic, disordered photonic materials of arbitrary size with complete band gaps blocking all directions and polarizations. The designs with the largest gaps are obtained by a constrained optimization method that…

Optics · Physics 2010-07-22 Marian Florescu , Salvatore Torquato , Paul J. Steinhardt

We show theoretically that, in the limit of weak dispersion, one-dimensional (1D) binary centrosymmetric photonic crystals can support topological edge modes in all photonic band gaps. By analyzing their bulk band topology, these "harmonic"…

Mesoscale and Nanoscale Physics · Physics 2016-04-05 Ka Hei Choi , C. W. Ling , K. F. Lee , Y. H. Tsang , Kin Hung Fung

Tight-binding models can accurately replicate the band structure and topology of crystalline systems. They have been widely used in solid-state physics due to their versatility and low computational cost. It is straightforward to build an…

Topology optimization of a waveguide-cavity structure in phononic crystals for designing narrow band filters under the given operating frequencies is presented in this paper. We show that it is possible to obtain an ultra-high-Q filter by…

Materials Science · Physics 2018-11-09 Hao-Wen Dong , Yue-Sheng Wang , Chuanzeng Zhang

Topological phases based on tight-binding models have been extensively studied in recent decades. By mimicking the linear combination of atomic orbitals in tight-binding models based on the evanescent couplings between resonators in…

Mesoscale and Nanoscale Physics · Physics 2023-04-18 Jing Li , Hongfei Wang , Shiyin Jia , Peng Zhan , Minghui Lu , Zhenlin Wang , Yanfeng Chen , Bi-Ye Xie

The band structure in phononic crystals (PCs) is usually affected by the deformations of their soft components. In this work, hyperelastic transformation media is proposed to be integrated in the PCs'design, to achieve stable elastic…

Materials Science · Physics 2016-10-14 Yan Liu , Zheng Chang , Xi-Qiao Feng
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