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Experimental designs that spread out points apart from each other on projections are important for computer experiments when not necessarily all factors have substantial influence on the response. We provide a theoretical framework to…

统计理论 · 数学 2020-04-28 Xu He

High dimensional integrals are abundant in many fields of research including quantum physics. The aim of this paper is to develop efficient recursive strategies to tackle a class of high dimensional integrals having a special product…

数值分析 · 数学 2021-07-28 Tobias Hartung , Karl Jansen , Frances Y. Kuo , Hernan Leövey , Dirk Nuyens , Ian H. Sloan

Most multi-dimensional (more than two dimensions) lattice partitions only form additive quotient groups and lack multiplication operations. This prevents us from constructing lattice codes based on multi-dimensional lattice partitions…

信息论 · 计算机科学 2017-10-05 Min Qiu , Lei Yang , Yixuan Xie , Jinhong Yuan

To find the best lattice model representation of a given full atom protein structure is a hard computational problem. Several greedy methods have been suggested where results are usually biased and leave room for improvement. In this paper…

计算工程、金融与科学 · 计算机科学 2010-05-12 Martin Mann , Alessandro Dal Palù

The practical application of a new class of coprime arrays based on the Chinese remainder theorem (CRT) over quadratic fields is presented in this paper. The proposed CRT arrays are constructed by ideal lattices embedded from coprime…

信号处理 · 电气工程与系统科学 2019-04-30 Conghui Li , Lu Gan , Cong Ling

The scheme of the XUV/X-ray free electron laser based on the optical undulator created by two overlapped transverse laser beams is analyzed. A kinetic theoretical description and an ad hoc numerical model are developed to account for the…

光学 · 物理学 2014-12-22 I. A. Andriyash , V. T. Tikhonchuk , V. Malka , E. d'Humières , Ph. Balcou

The present research is developed into the realm of industrial design engineering and additive manufacturing by introducing a parametric design model and adaptive mechanical analysis for a new lattice structure, with a focus on 3D additive…

We demonstrate that a two-dimensional (2D) atomic array can be used as a novel platform for quantum optomechanics. Such arrays feature both nearly-perfect reflectivity and ultra-light mass, leading to significantly-enhanced optomechanical…

量子物理 · 物理学 2020-06-30 Ephraim Shahmoon , Mikhail D. Lukin , Susanne F. Yelin

Sparse arrays can generate a larger aperture than traditional uniform linear arrays (ULA) and offer enhanced degrees-of-freedom (DOFs) which can be exploited in both beamforming and direction-of-arrival (DOA) estimation. One class of sparse…

信息论 · 计算机科学 2017-05-03 Ahsan Raza , Wei Liu , Qing Shen

Scalable arrays of individual atoms provide an ideal starting point for quantum information and simulation experiments. However, their preparation is often limited by light-assisted collisions (LACs), which typically result in…

原子物理 · 物理学 2026-05-20 Lauren Weiss , Evan Yamaguchi , Claire Pritts , Tadej Mežnaršič , Cheng Chin

The capabilities of multi-antenna technology have recently been significantly enhanced by the proliferation of extra large array architectures. The high dimensionality of these systems implies that communications take place in the nearfield…

信息论 · 计算机科学 2024-12-11 Xavier Mestre , Adrian Agustin , David Sarda

We present the theoretical basis needed to work in the field of photonic lattices. We start by studying the field modes in- and out-side a single waveguide. Then, we use perturbation theory to deal with an array of coupled waveguides and…

Advances in the development of free-electron lasers offer the realistic prospect of high-resolution imaging to study the nanoworld on the time-scale of atomic motions. We identify X-ray Fourier Transform holography, (FTH) as a promising…

We consider coupled waveguide lattices as an architecture that implement a wide range of multiport transformations. In this architecture, a particular transfer matrix is obtained through setting the step-wise profiles of the propagation…

光学 · 物理学 2021-08-11 N. N. Skryabin , I. V. Dyakonov , M. Yu. Saygin , S. P. Kulik

Here I report on comparisons between two different techniques in fabricating arrays of subwavelength cross-shaped apertures in metallic screens. The aim was to determine the most appropriate fabrication technique to be used considering the…

应用物理 · 物理学 2020-03-13 Amir Djalalian-Assl

In this work, we propose using camera arrays coupled with coherent illumination as an effective method of improving spatial resolution in long distance images by a factor of ten and beyond. Recent advances in ptychography have demonstrated…

计算机视觉与模式识别 · 计算机科学 2015-11-29 Jason Holloway , M. Salman Asif , Manoj Kumar Sharma , Nathan Matsuda , Roarke Horstmeyer , Oliver Cossairt , Ashok Veeraraghavan

Lattices are deceptively simple mathematical structures that have become indispensable for code design for physical layer communications. While lattice-related problems are interesting in their own right, the usefulness of these discrete…

信息论 · 计算机科学 2017-06-21 Amaro Barreal

An effective way to design structured coherent wave interference patterns that builds on the theory of coherent lattices, is presented. The technique combines prime number factorization in the complex plane with moir\'e theory to provide a…

斑图形成与孤子 · 物理学 2020-11-19 Dmitry Kouznetsov , Qingzhong Deng , Pol Van Dorpe , Niels Verellen

This paper addresses the problem of adding redundancy to a collection of physical objects so that the overall system is more robust to failures. In contrast to its information counterpart, which can exploit parity to protect multiple…

信息论 · 计算机科学 2017-11-09 Jennifer Tang , Da Wang , Yury Polyanskiy , Gregory Wornell

We present two hybrid linear-optical architectures that simultaneously exploit spatial and temporal degrees of freedom of light to effect arbitrary discrete unitary transformations. Our architectures combine the benefits of spatial…

量子物理 · 物理学 2019-06-12 Daiqin Su , Ish Dhand , Lukas G. Helt , Zachary Vernon , Kamil Bradler