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Ray optics is an intuitive and computationally efficient model for wave propagation through nonuniform media. However, the underlying geometrical-optics (GO) approximation of ray optics breaks down at caustics, erroneously predicting the…

Optics · Physics 2022-10-10 Nicolas A. Lopez

As an approximate theory that is highly regarded for its computational efficiency, geometrical optics (GO) is widely used for modeling waves in various areas of physics. However, GO fails at caustics, which significantly limits its…

Optics · Physics 2021-03-09 N. A. Lopez , I. Y. Dodin

The design and optimization of radiofrequency-wave systems for fusion applications is often performed using ray-tracing codes, which rely on the geometrical-optics (GO) approximation. However, GO fails at wave cutoffs and caustics. To…

Computational Physics · Physics 2021-08-18 Sean M. Donnelly , Nicolas A. Lopez , I. Y. Dodin

Geometrical optics (GO) is often used to model wave propagation in weakly inhomogeneous media and quantum-particle motion in the semiclassical limit. However, GO predicts spurious singularities of the wavefield near reflection points and,…

Optics · Physics 2020-09-10 N. A. Lopez , I. Y. Dodin

Metaplectic geometrical optics (MGO) is a recently developed ray-tracing framework to accurately compute the wavefield behavior near a caustic (turning point or focal point), where traditional ray-tracing breaks down. However, MGO has thus…

Plasma Physics · Physics 2024-08-22 N. A. Lopez , R. Højlund , M. G. Senstius

Geometrical optics (GO) is widely used for reduced modeling of waves in plasmas but fails near reflection points, where it predicts a spurious singularity of the wave amplitude. We show how to avoid this singularity by adopting a different…

Geometrical optics (GO) is widely used in studies of electromagnetic materials because of its ease of use compared to full-wave numerical simulations. Exact solutions for waves can, however, differ significantly from the GO approximation.…

Optics · Physics 2015-06-18 T. G. Philbin

The WKB approximation of geometrical optics is widely used in plasma physics, quantum mechanics and reduced wave modeling in general. However, it is well-known that the approximation breaks down at focal and turning points. In this work we…

Plasma Physics · Physics 2024-08-29 Rune Højlund Marholt , Mads Givskov Senstius , Stefan Kragh Nielsen

This paper proposes a deep recurrent Rotation Averaging Graph Optimizer (RAGO) for Multiple Rotation Averaging (MRA). Conventional optimization-based methods usually fail to produce accurate results due to corrupted and noisy relative…

Computer Vision and Pattern Recognition · Computer Science 2022-12-15 Heng Li , Zhaopeng Cui , Shuaicheng Liu , Ping Tan

Optical polarizers, which selectively transmit light with specific polarization states, are essential components in modern optical systems. Here, we experimentally demonstrate integrated waveguide and microring resonator (MRR) polarizers…

Optics · Physics 2025-03-05 David J. Moss

Bayesian optimization (BO) is a powerful framework for optimizing expensive black-box objectives, yet extending it to graph-structured domains remains challenging due to the discrete and combinatorial nature of graphs. Existing approaches…

Machine Learning · Computer Science 2025-11-12 Shu Hong , Yongsheng Mei , Mahdi Imani , Tian Lan

In atomic, molecular, and nuclear physics, the method of complex coordinate rotation is a widely used theoretical tool for studying resonant states. Here, we propose a novel implementation of this method based on the gradient optimization…

Atomic Physics · Physics 2020-07-24 Zhi-Da Bai , Zhen-Xiang Zhong , Zong-Chao Yan , Ting-Yun Shi

This paper focuses on Bayesian Optimization (BO) for objectives on combinatorial search spaces, including ordinal and categorical variables. Despite the abundance of potential applications of Combinatorial BO, including chipset…

Machine Learning · Statistics 2019-10-29 Changyong Oh , Jakub M. Tomczak , Efstratios Gavves , Max Welling

Omnidirectional images are increasingly used in robotics and vision due to their wide field of view. However, extending 3D Gaussian Splatting (3DGS) to panoramic camera models remains challenging, as existing formulations are designed for…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Zhe Yang , Guoqiang Zhao , Sheng Wu , Kai Luo , Kailun Yang

We present GO-Surf, a direct feature grid optimization method for accurate and fast surface reconstruction from RGB-D sequences. We model the underlying scene with a learned hierarchical feature voxel grid that encapsulates multi-level…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Jingwen Wang , Tymoteusz Bleja , Lourdes Agapito

In the field of global optimization, many existing algorithms face challenges posed by non-convex target functions and high computational complexity or unavailability of gradient information. These limitations, exacerbated by sensitivity to…

Optimization and Control · Mathematics 2023-10-16 Xinyu Zhang , Sujit Ghosh

Metasurfaces -- ultrathin structures composed of subwavelength optical elements -- have revolutionized light manipulation by enabling precise control over electromagnetic waves' amplitude, phase, polarization, and spectral properties.…

Optics · Physics 2024-11-15 Charles Roques-Carmes , Kai Wang , Yuanmu Yang , Arka Majumdar , Zin Lin

The generation of accurate 3D molecular conformations is a pivotal challenge in computational chemistry and drug discovery. Recently, diffusion and flow matching models have achieved remarkable success. However, there is a critical…

Machine Learning · Computer Science 2026-05-26 Yunqing Liu , Yi Zhou , Wenqi Fan

Integrated waveguide polarizers and polarization-selective micro-ring resonators (MRRs) incorporated with graphene oxide (GO) films are experimentally demonstrated. CMOS-compatible doped silica waveguides and MRRs with both uniformly coated…

A new technique of global optimization and its applications in particular to neural networks are presented. The algorithm is also compared to other global optimization algorithms such as Gradient descent (GD), Monte Carlo (MC), Genetic…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-18 Homayoun Valafar , Okan K. Ersoy , Faramarz Valafar
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