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Purpose: To develop generic optimization strategies for image reconstruction using graphical processing units (GPUs) in magnetic resonance imaging (MRI) and to exemplarily report about our experience with a highly accelerated implementation…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-08 Sebastian Schaetz , Dirk Voit , Jens Frahm , Martin Uecker

In this paper we describe a simple method that allows for a fast direct computation of the scattering matrix for a surface with hyperbolic cusps from the Neumann-to-Dirichlet map on the compact manifold with boundary obtained by removing…

Spectral Theory · Mathematics 2019-06-19 Michael Levitin , Alexander Strohmaier

We present a high-sensitivity measurement technique for mechanical nanoresonators. Due to intrinsic nonlinear effects, different flexural modes of a nanobeam can be coupled while driving each of them on resonance. This mode-coupling scheme…

Mesoscale and Nanoscale Physics · Physics 2015-12-02 M. Defoort , K. J. Lulla , C. Blanc , O. Bourgeois , A. D. Armour , E. Collin

High-quality magnetic resonance (MR) image, i.e., with near isotropic voxel spacing, is desirable in various scenarios of medical image analysis. However, many MR acquisitions use large inter-slice spacing in clinical practice. In this…

Image and Video Processing · Electrical Eng. & Systems 2021-08-18 Kai Xuan , Liping Si , Lichi Zhang , Zhong Xue , Yining Jiao , Weiwu Yao , Dinggang Shen , Dijia Wu , Qian Wang

Hyperspectral neutron tomography is an effective method for analyzing crystalline material samples with complex compositions in a non-destructive manner. Since the counts in the hyperspectral neutron radiographs directly depend on the…

Second-order nonlinear effects, such as second-harmonic generation, can be strongly enhanced in nanofabricated photonic materials when both fundamental and harmonic frequencies are spatially and temporally confined. Practically designing…

We present an easy-to-implement numerical method for analyzing electromagnetic wave propagation in dielectric rings. Our approach employs a finite-difference-based solver in cylindrical coordinates, solving a mixed electric-magnetic field…

We demonstrate the use of machine learning through convolutional neural networks to solve inverse design problems of optical resonator engineering. The neural network finds a harmonic modulation of a spherical mirror to generate a resonator…

Optics · Physics 2022-02-08 Denis V. Karpov , Sergei Kurdiumov , Peter Horak

In recent years, stable and unstable manifolds of invariant objects (such as libration points and periodic orbits) have been increasingly recognized as an efficient tool for designing transfer trajectories in space missions. However, most…

Dynamical Systems · Mathematics 2021-10-01 Bhanu Kumar , Rodney L. Anderson , Rafael de la Llave

Magnetic resonance coupling (MRC) is widely used for wireless power transfer (WPT) applications, but little work has explored how MRC phenomena could be exploited for sensing applications. This paper introduces, validates and evaluates the…

Systems and Control · Electrical Eng. & Systems 2024-06-05 Robert R. Hughes , James Treisman , Alexis Hernandez Arroyo , Anthony J. Mulholland

This work proposes a multi-image matching method to estimate semantic correspondences across multiple images. In contrast to the previous methods that optimize all pairwise correspondences, the proposed method identifies and matches only a…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Qianqian Wang , Xiaowei Zhou , Kostas Daniilidis

Micro- and nanoresonators, which enable light trapping in small volumes for extended durations, play a crucial role in modern photonics. The optical response of these resonators is determined by their fundamental resonances, known as…

Optics · Physics 2024-08-27 Tong Wu , Philippe Lalanne

Radiation-induced photocurrent in semiconductor devices can be simulated using complex physics-based models, which are accurate, but computationally expensive. This presents a challenge for implementing device characteristics in high-level…

Computational Physics · Physics 2020-08-31 Joshua Hanson , Pavel Bochev , Biliana Paskaleva

We consider the solution of large-scale nonlinear algebraic Hermitian eigenproblems of the form $T(\lambda)v=0$ that admit a variational characterization of eigenvalues. These problems arise in a variety of applications and are…

Numerical Analysis · Mathematics 2015-04-14 Daniel B. Szyld , Eugene Vecharynski , Fei Xue

Magnetic resonance imaging (MRI) reconstruction is an active inverse problem which can be addressed by conventional compressed sensing (CS) MRI algorithms that exploit the sparse nature of MRI in an iterative optimization-based manner.…

Computer Vision and Pattern Recognition · Computer Science 2019-06-13 Yuxiang Dai , Peixian Zhuang

We show how spectral submanifold theory can be used to construct reduced-order models for harmonically excited mechanical systems with internal resonances. Efficient calculations of periodic and quasi-periodic responses with the…

Dynamical Systems · Mathematics 2022-08-09 Mingwu Li , Shobhit Jain , George Haller

All electromagnetic systems, in particular resonators or antennas, have resonances with finite lifetimes. The associated eigenstates, also called quasinormal modes, are essentially non-Hermitian and determine the optical responses of the…

Computational Physics · Physics 2022-12-20 T. Wu , D. Arrivault , W. Yan , P. Lalanne

Multilayer stacks of twisted optical metasurfaces are considered as a prospective platform for chiral nanophotonic devices. Such structures are primarily used for the realization of circularly polarized light sources, artificial optical…

We propose a method derived from the simple plane wave expansion that can easily solve the interface problem between vacuum and a semi-infinite photonic crystal. The method is designed to find the complete set of all the eigenfunctions,…

Computational Physics · Physics 2013-05-29 Young-Chung Hsue , Tzong-Jer Yang

In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of large and sparse eigenvalue problems. Building upon recent performance improvements through non-linear least square optimization of…

Numerical Analysis · Mathematics 2021-12-14 Konrad Kollnig , Paolo Bientinesi , Edoardo Di Napoli