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Recovering physical properties of objects in motion is a core task across scientific and industrial applications. When the relative motion between the object and the sensing apparatus provides sufficient angular coverage, Computerized…

Numerical Analysis · Mathematics 2026-05-19 Daniel Burrows , Can Evren Yarman , Ozan Öktem

We employ a weak measurement approach to demonstrate the very existence of the photoexcited interband superposition states in intrinsic graphene. We propose an optical two-beam setup where such measurements are possible and derive an…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 Maxim Trushin , Johannes Bülte , Wolfgang Belzig

The development of fast and accurate image reconstruction algorithms is a central aspect of computed tomography. In this paper we address this issue for photoacoustic computed tomography in circular geometry. We investigate the Galerkin…

Numerical Analysis · Mathematics 2017-10-23 Johannes Schwab , Sergiy Pereverzyev , Markus Haltmeier

We investigate a gradient flow structure of the Ginzburg--Landau--Devonshire (GLD) model for anisotropic ferroelectric materials by reconstructing its energy form. We show that the modified energy form admits at least one minimizer. Under…

Numerical Analysis · Mathematics 2023-05-03 Wenyu Lei

Objective: Quantitative technique based on In-line phase-contrast computed tomography with single scanning attracts more attention in application due to the flexibility of the implementation. However, the quantitative results usually suffer…

Medical Physics · Physics 2022-06-13 Suyu Liao , Shiwo Deng , Yining Zhu , Huitao Zhang , Peiping Zhu , Kai Zhang , Xing Zhao

We present density response estimators for Monte Carlo simulations that are based on a reweighting procedure, where the samples of an unperturbed system are used to estimate the properties of a system perturbed by an external harmonic…

Using an enhanced optically heterodyned optical Kerr effect method and a theoretical description of the interactions between an optical beam, a single layer of graphene, and its substrate, we provide experimental answers to questions raised…

Optics · Physics 2017-12-20 Evdokia Dremetsika , Pascal Kockaert

A unified method for three-dimensional reconstruction of objects from transmission images collected at multiple illumination directions is described. The method may be applicable to experimental conditions relevant to absorption-based,…

Medical Physics · Physics 2022-12-07 Timur E. Gureyev , Hamish G. Brown , Harry M. Quiney , Leslie J. Allen

We study a numerical reconstruction strategy for the potential in the fractional Calder\'on problem from a single partial exterior measurement. The forward model is the fractional Schr\"odinger equation in a bounded domain, with prescribed…

Numerical Analysis · Mathematics 2026-03-30 Mukul Dwivedi , Jesse Railo , Andreas Rupp

Multimode Gaussian states are a versatile resource for quantum information technologies and have been realized across a wide range of physical platforms. Recent progress in the large-scale generation of such states provides a key ingredient…

Quantum Physics · Physics 2026-04-14 Chan Roh , Geunhee Gwak , Young-Do Yoon , Young-Sik Ra

A simple and efficient method for characterization of multidimensional Gaussian states is suggested and experimentally demonstrated. Our scheme shows analogies with tomography of finite dimensional quantum states, with the covariance matrix…

Quantifying material mass and electron density from computed tomography (CT) reconstructions can be highly valuable in certain medical practices, such as radiation therapy planning. However, uniquely parameterising the X-ray attenuation in…

Medical Physics · Physics 2019-04-30 Jonathan H. Mason , Alessandro Perelli , William H. Nailon , Mike E. Davies

We present a nonlinear stabilized Lagrange-Galerkin scheme for the Oseen-type Peterlin viscoelastic model. Our scheme is a combination of the method of characteristics and Brezzi-Pitk\"aranta's stabilization method for the conforming linear…

Numerical Analysis · Mathematics 2021-07-22 Mária Lukáčová-Medvid'ová , Hana Mizerová , Hirofumi Notsu , Masahisa Tabata

A new computational imaging method to reconstruct the complex wave-field is reported. Due to the existence of zero frequency component, the measured signal by amplitude modulation of pupil has a spectrum similar to the one of off-axis…

Optics · Physics 2021-11-09 Cheng Shen , An Pan , Mingshu Liang , Changhuei Yang

We investigate the statistical recovery of solutions to first-kind Fredholm integral equations with discrete, scattered, and noisy pointwise measurements. Assuming the forward operator's range belongs to the Sobolev space of order $m$,…

Numerical Analysis · Mathematics 2025-12-30 Duan-Peng Ling , Wenlong Zhang

We implement a compressive quantum state tomography capable of reconstructing any arbitrary low-rank spectral-temporal optical signal with extremely few measurement settings and without any \emph{ad hoc} assumptions about the initially…

Quantum Physics · Physics 2021-05-27 J. Gil-Lopez , Y. S. Teo , S. De , B. Brecht , H. Jeong , C. Silberhorn , L. L. Sanchez-Soto

Magnetic resonance electrical property tomography is a recent medical imaging modality for visualizing the electrical tissue properties of the human body using radio-frequency magnetic fields. It uses the fact that in magnetic resonance…

Analysis of PDEs · Mathematics 2014-09-23 Habib Ammari , Hyeuknam Kwon , Yoonseop Lee , Kyungkeun Kang , Jin Keun Seo

This paper considers the non-linear inverse problem of reconstructing an electric conductivity distribution from the interior power density in a bounded domain. Applications include the novel tomographic method known as acousto-electric…

Optimization and Control · Mathematics 2018-08-29 B. J. Adesokan , Kim Knudsen , Venkateswaran P. Krishnan , Souvik Roy

Based on recently introduced efficient quantum state tomography schemes, we propose a scalable method for the tomography of unitary processes and the reconstruction of one-dimensional local Hamiltonians. As opposed to the exponential…

Quantum Physics · Physics 2015-04-30 M. Holzäpfel , T. Baumgratz , M. Cramer , M. B. Plenio

We report methods for correcting the photoluminescence emission and excitation spectra of highly absorbing samples for re-absorption and inner filter effects. We derive the general form of the correction, and investigate various methods for…

Biological Physics · Physics 2015-06-26 Jennifer Riesz , Joel Gilmore , Paul Meredith