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Transformation optics is a design tool that connects geometry of space and propagation of light. Invisibility cloaking is a corresponding benchmark example. Recent experiments at optical frequencies have demonstrated cloaking for the light…

Optics · Physics 2015-05-28 Tolga Ergin , Joachim Fischer , Martin Wegener

Imaging technologies such as dynamic viewpoint generation are engineered for incoherent radiation using the traditional light field, and for coherent radiation using electromagnetic field theory. We present a model of coherent image…

Optics · Physics 2015-05-13 Anthony Accardi , Gregory Wornell

Based on transformation optics (TO), this paper uses geometric divisions and linear coordinate transformations to design shrinking-shifting - and reshaping, and amplifying-shifting - and reshaping devices. The proposed devices can reshape…

Flexible control light field across multiple parameters is the cornerstone of versatile and miniaturized optical devices. Metasurfaces, comprising subwavelength scatterers, offer a potent platform for executing such precise manipulations.…

Transformation optics is a powerful tool to design various novel devices, such as invisibility cloak. Fantastic effects from this technique are usually accompanied with singular mappings, resulting in challenging implementations and narrow…

Optics · Physics 2016-02-08 M. M. Sadeghi , Sucheng Li , Lin Xu , Bo Hou , Huanyang Chen

The quasi-random discrete ordinates method (QRDOM) is here proposed for the approximation of transport problems. Its central idea is to explore a quasi Monte Carlo integration within the classical source iteration technique. It preserves…

Numerical Analysis · Mathematics 2023-07-19 Pedro H. A. Konzen , Leonardo F. Guidi , Thomas Richter

Acoustic cloaks that make object undetectable to sound waves have potential applications in a variety of scenarios and have received increasing interests recently. However, the experimental realization of a three-dimensional (3D) acoustic…

Classical Physics · Physics 2014-03-13 Weiwei Kan , Bin Liang , Ruiqi Li , Xue Jiang , Xin-ye Zou , Lei-lei Yin , Jianchun Cheng

Designing invisible objects without the usage of extreme materials is a long-sought goal for photonic applications. Invisibility techniques demonstrated so far typically require high anisotropy, gain and losses, while also not being…

Optics · Physics 2018-07-18 Zeki Hayran , Ramon Herrero , Muriel Botey , Hamza Kurt , Kestutis Staliunas

Optics related to non-Euclidean geometry has been attracting growing interest for emerged novel phenomena and the analog for general relativity, while most studies are limited to the free space on rotationally-symmetric surfaces. In this…

We analyze wave propagation in coupled planar waveguides, pointing specific attention to modal cross-talk and out-of-plane scattering in quasi-planar photonics. An algorithm capable of accurate numerical computation of wave coupling in…

Optics · Physics 2015-05-13 Sukosin Thongrattanasiri , Justin Elser , Viktor A. Podolskiy

Exact results concerning ray-tracing methods in Plebanski-Tamm media are derived. In particular, Hamilton equations describing the propagation of quasi-plane wave electromagnetic fields in the geometrical optics regime are explicitly…

General Relativity and Quantum Cosmology · Physics 2021-12-06 Franco Fiorini , Santiago M. Hernandez , Edith L. Losada

We propose a 3D latent representation that jointly models object geometry and view-dependent appearance. Most prior works focus on either reconstructing 3D geometry or predicting view-independent diffuse appearance, and thus struggle to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-12 Jen-Hao Rick Chang , Xiaoming Zhao , Dorian Chan , Oncel Tuzel

Quasi-Monte Carlo (QMC) is a powerful method for evaluating high-dimensional integrals. However, its use is typically limited to distributions where direct sampling is straightforward, such as the uniform distribution on the unit hypercube…

Numerical Analysis · Mathematics 2024-12-24 Sifan Liu

Most quasi-Monte Carlo research focuses on sampling from the unit cube. Many problems, especially in computer graphics, are defined via quadrature over the unit triangle. Quasi-Monte Carlo methods for the triangle have been developed by…

Numerical Analysis · Mathematics 2014-03-12 Kinjal Basu , Art B. Owen

In this paper, we propose a topology optimization (TO) framework where the design is parameterized by a set of convex polygons. Extending feature mapping methods in TO, the representation allows for direct extraction of the geometry. In…

Optimization and Control · Mathematics 2023-05-09 Aaditya Chandrasekhar

Transformation optics constructions have allowed the design of electromagnetic, acoustic and quantum parameters that steer waves around a region without penetrating it, so that the region is hidden from external observations. The material…

Optics · Physics 2009-11-13 A. Greenleaf , Y. Kurylev , M. Lassas , G. Uhlmann

Multiresolution topology optimization (MTO) methods involve decoupling of the design and analysis discretizations, such that a high-resolution design can be obtained at relatively low analysis costs. Recent studies have shown that the MTO…

Computational Engineering, Finance, and Science · Computer Science 2018-11-27 Deepak K. Gupta , Fred van Keulen , Matthijs Langelaar

We report broadband characterization of the propagation of light through a multiply scattering medium by means of its Multi-Spectral Transmission Matrix. Using a single spatial light modulator, our approach enables the full control of both…

Quasi-conformal (QC) theory is an important topic in complex analysis, which studies geometric patterns of deformations between shapes. Recently, computational QC geometry has been developed and has made significant contributions to medical…

Computational Geometry · Computer Science 2015-10-20 Ting Wei Meng , Lok Ming Lui

We present a framework for achieving broadband perfect wave transmission in complex systems by optimizing symmetric disordered media via inverse design. We show that leveraging symmetry of complex media reduces the optimization's complexity…

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