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Structured light beams with space-variant polarization can be efficiently generated using voltage-tunable nematic liquid-crystal (Q-plate). By appropriately selecting the input state and the retardation of the Q-plate, an optical field…

To ensure the discrete maximum principle or solution positivity in finite volume schemes, diffusive flux is sometimes discretized as a conical combination of finite differences. Such a combination may be impossible to construct along…

Computational Physics · Physics 2015-06-19 D. Vidović , M. Dotlić , M. Pušić , B. Pokorni

Topological concepts have been applied to a wide range of fields in order to successfully describe the emergence of robust edge modes that are unaffected by scattering or disorder. In photonics, indications of lasing from topologically…

Existing electromagnetic inverse design methods are often established in the spacial domain. This communication presents an inverse design method, which can design aperture field for the desired phaseless radiation pattern, from the…

Applied Physics · Physics 2023-12-29 Chuan-Sheng Chen , Ren Wang , Jin-Pin Liu , Bing-Zhong Wang

Complex non-local behavior makes designing high efficiency and multifunctional metasurfaces a significant challenge. While using libraries of meta-atoms provide a simple and fast implementation methodology, pillar to pillar interaction…

We consider a simply supported plate with constant thickness, defined on an unknown multiply connected domain. We optimize its shape according to some given performance functional. Our method is of fixed domain type, easy to be implemented,…

Optimization and Control · Mathematics 2019-09-13 Dan Tiba , Cornel Marius Murea

Unidirectional optical systems enable selective control of light through asymmetric processing of radiation, effectively transmitting light in one direction while blocking unwanted propagation in the opposite direction. Here, we introduce a…

Optics · Physics 2025-03-21 Yuhang Li , Tianyi Gan , Jingxi Li , Mona Jarrahi , Aydogan Ozcan

Phase-field methods offer a versatile computational framework for simulating large-scale morphological evolution. However, the applicability and predictability of phase-field models are inherently limited by their ad hoc nature, and there…

Materials Science · Physics 2025-10-30 Jaehyeok Jin , David R. Reichman

We present a novel, physically-based morphing technique for elastic shapes, leveraging the differentiable material point method (MPM) with space-time control through per-particle deformation gradients to accommodate complex topology…

Graphics · Computer Science 2025-09-16 Michael Xu , Chang-Yong Song , David I. W. Levin , David Hyde

The ability to design passive structures that perform different operations on different electromagnetic fields is key to many technologies, from beam-steering to optical computing. While many techniques have been developed to optimise…

Applied Physics · Physics 2022-11-28 J. R. Capers , S. J. Boyes , A. P. Hibbins , S. A. R. Horsley

Multimode fibers (MMFs) have recently reemerged as attractive avenues for nonlinear effects due to their high-dimensional spatiotemporal nonlinear dynamics and scalability for high power. High-brightness MMF sources with effective control…

Optics · Physics 2023-12-07 Tong Qiu , Honghao Cao , Kunzan Liu , Li-Yu Yu , Manuel Levy , Eva Lendaro , Fan Wang , Sixian You

This article describes a volumetric approach for procedural shape modeling and a new Procedural Shape Modeling Language (PSML) that facilitates the specification of these models. PSML provides programmers the ability to describe shapes in…

Graphics · Computer Science 2021-03-23 Andrew Willis , Prashant Ganesh , Kyle Volle , Jincheng Zhang , Kevin Brink

In the present work we introduce a novel graded-material design based on phase-field and topology optimization. The main novelty of this work comes from the introduction of an additional phase-field variable in the classical single-material…

Optimization and Control · Mathematics 2019-06-03 Massimo Carraturo , Elisabetta Rocca , Elena Bonetti , Dietmar Hömberg , Alessandro Reali , Ferdinando Auricchio

Rapidly growing demands for fast information processing have launched a race for creating compact and highly efficient optical devices that can reliably transmit signals without losses. Recently discovered topological phases of light…

Optics · Physics 2020-06-04 Daria Smirnova , Daniel Leykam , Yidong Chong , Yuri Kivshar

A geometrical approach to calculate the electric field due to a uniformly charged rod is presented. The result is surprisingly simple and elegant. Using pure geometrical quantities like length and angle, the direction of the electric field…

Popular Physics · Physics 2015-06-11 Fulin Zuo

The paper presents a novel, parameter free, density evaluation method for topology optimization based on normalized product of a scalar field. The approach imposes length scale on solid phase implicitly and allows for pure 0-1 singularity…

Mathematical Physics · Physics 2022-08-25 Nikhil Singh , Anupam Saxena

The singularities of the electromagnetic field are derived to include all the point-like multipoles representing an electric charge and current distribution. We show that for higher orders, it is more efficient to have fields represented in…

Classical Physics · Physics 2010-06-04 C Vrejoiu , R Zus

Metasurfaces are planar structures that can manipulate the amplitude, phase and polarization (APP) of light at subwavelength scale. Although various functionalities have been proposed based on metasurface, a most general optical control,…

Optics · Physics 2021-05-31 Yanjun Bao , Ying Yu , Shang Sun , Yang Chen , Qing-Hua Xu , Cheng-Wei Qiu

We propose an approach to the problem of global reconstruction of an orientation field. The method is based on a geometric model called "bisector line fields", which maps a pair of vector fields to an orientation field, effectively…

Numerical Analysis · Mathematics 2020-09-22 Nicolas Boizot , Ludovic Sacchelli

We propose a general topology optimization framework for metasurface inverse design that can automatically discover highly complex multi-layered meta-structures with increased functionalities. In particular, we present topology-optimized…

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