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The standard series expansion for the period of a finite amplitude pendulum as a function of energy (and hence amplitude) provides a lower limit on the period when the series is truncated. An adjustment to the last term in the truncated…

Classical Physics · Physics 2007-07-09 Ian R. Gatland

Pseudoscalar-meson photoproduction is characterized by four complex reaction amplitudes. A complete set is a minimum theoretical set of observables that allow to determine these amplitudes unambiguously. It is studied whether complete sets…

Nuclear Theory · Physics 2015-06-18 Tom Vrancx , Jan Ryckebusch , Jannes Nys

We propose a combined reconstruction-classification method for simultaneously recovering absorption and scattering in turbid media from images of absorbed optical energy. This method exploits knowledge that optical parameters are determined…

Medical Physics · Physics 2016-01-20 Emma Malone , Samuel Powell , Ben T. Cox , Simon R. Arridge

Atomic force microscopy (AFM) enables high-resolution imaging and quantitative force measurement, which is critical for understanding nanoscale mechanical, chemical, and biological interactions. In dynamic AFM modes, however, interaction…

Instrumentation and Detectors · Physics 2025-06-10 Simon Laflamme , Bugrahan Guner , Omur E. Dagdeviren

We propose a new method for measuring longitudinal amplitudes for electroproduction of pseudoscalar mesons that exploits a symmetry relation for polarization observables in parallel kinematics. This polarization technique does not require…

Nuclear Theory · Physics 2009-10-31 James J. Kelly

Partial-wave analyses (PWA) are an essential tool for studying resonance structures in decays with hadronic multi-body final states. For several years, more model-independent approaches to such analyses have been used for various decay…

High Energy Physics - Phenomenology · Physics 2021-09-07 Fabian Michael Krinner , Stephan Paul

We introduce a new method for the reconstruction of a function from linear measurements by means of oblique projections. The space spanned by the measurement vectors may be different from the subspace in which the function is reconstructed.…

Numerical Analysis · Mathematics 2013-12-09 Peter Berger , Karlheinz Gröchenig

We present polynomial force reconstruction from experimental intermodulation atomic force microscopy (ImAFM) data. We study the tip-surface force during a slow surface approach and compare the results with amplitude-dependence force…

Mesoscale and Nanoscale Physics · Physics 2013-02-08 Daniel Platz , Daniel Forchheimer , Erik A. Tholen , David B. Haviland

In this paper we propose an approach for \emph{simultaneous} identification of the \emph{absorption density} and the \emph{speed of sound} by photoacoustic measurements. Experimentally our approach can be realized with sliced photoacoustic…

Analysis of PDEs · Mathematics 2011-09-28 Andreas Kirsch , Otmar Scherzer

Sound propagation in the ocean is considered. We demonstrate a novel algorithm for full wavefield reconstruction using pointwise measurements by means of a vertical array. The algorithm is based on the so-called discrete variable…

Signal Processing · Electrical Eng. & Systems 2021-03-11 Denis V. Makarov , Pavel S. Petrov

P-wave amplitudes for elastic K+ K- photoproduction on hydrogen near the phi(1020) resonance have been derived in an analytical form and a partial wave decomposition of the amplitudes has been performed. We discuss the high energy limit of…

High Energy Physics - Phenomenology · Physics 2011-07-19 L. Lesniak , A. P. Szczepaniak

It has recently been proven that the invariance of observables with respect to angle dependent phase rotations of reaction amplitudes mixes multipoles changing also their relative strength [1]. All contemporary partial wave analyses (PWA)…

We revisit the problem of recovering wave speeds and density across a curved interface from reflected wave amplitudes. Such amplitudes have been exploited for decades in (exploration) seismology in this context. However, the analysis in…

Analysis of PDEs · Mathematics 2022-01-10 Sombuddha Bhattacharyya , Maarten V. de Hoop , Vitaly Katsnelson , Gunther Uhlmann

We explore the application of volumetric reconstruction from structured-light sensors in cognitive neuroscience, specifically in the quantification of the size-weight illusion, whereby humans tend to systematically perceive smaller objects…

Computer Vision and Pattern Recognition · Computer Science 2013-11-13 J. Balzer , M. Peters , S. Soatto

Synthetic aperture sonar (SAS) measures a scene from multiple views in order to increase the resolution of reconstructed imagery. Image reconstruction methods for SAS coherently combine measurements to focus acoustic energy onto the scene.…

Image and Video Processing · Electrical Eng. & Systems 2023-06-19 Albert W. Reed , Juhyeon Kim , Thomas Blanford , Adithya Pediredla , Daniel C. Brown , Suren Jayasuriya

In this paper, we focus our attention on the following question: How well can we recover the power spectrum of the cosmic microwave background from the maps of a given experiment?. Each experiment is described by a a pixelization scale, a…

Astrophysics · Physics 2016-08-15 D. Sáez , J. V. Arnau

Methods on reducing resonant frequencies and electrical sizes of resonators are reported in this paper. Theoreti-cal and numerical analysis has been used and the results for the broadside-coupled resonators from both studies exhibit good…

Optics · Physics 2008-10-15 T. Hao , J. Zhu , D. J. Edwards , C. J. Stevens

Compressed sensing is triggering a major evolution in signal acquisition. It consists in sampling a sparse signal at low rate and later using computational power for its exact reconstruction, so that only the necessary information is…

Statistical Mechanics · Physics 2012-06-07 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

The literature on reconstruction formulas for photoacoustic tomography (PAT) is vast. The various reconstruction formulas differ by used measurement devices and geometry on which the data are sampled. In standard photoacoustic imaging…

Analysis of PDEs · Mathematics 2015-05-30 Peter Elbau , Otmar Scherzer , Rainer Schulze

Highly confined vectorial electromagnetic field distributions represent an excellent tool for detailed studies in nano-optics and high resolution microscopy, such as nonlinear microscopy, advanced fluorescence imaging or nanoplasmonics.…

Optics · Physics 2014-07-03 Thomas Bauer , Sergej Orlov , Ulf Peschel , Peter Banzer , Gerd Leuchs