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In the recent paper [17] the first experimental determination of the density matrix of a free electron beam has been reported. The employed method leads to a linear inverse problem with a positive semidefinite operator as unknown. The…

Analysis of PDEs · Mathematics 2020-02-19 Cong Shi , Claus Ropers , Thorsten Hohage

The determination of the size and geometry of the broad line region (BLR) in active galactic nuclei is one of the major ingredients for determining the mass of the accreting black hole. This can be done by determining the delay between the…

Astrophysics of Galaxies · Physics 2020-05-27 P. A. Rojas Lobos , R. W. Goosmann , J. M. Hameury , F. Marin

Recent measurements of the coherent synchrotron radiation (CSR) effects indicated that the observed beam emittance growth and energy modulation are often bigger than previous predictions based on Gaussian longitudinal charge distributions.…

Accelerator Physics · Physics 2007-05-23 R. Li

A modification of the Adaptive Biasing Force method is introduced, in which the free energy is approximated by a sum of tensor products of one-dimensional functions. This enables to handle a larger number of reaction coordinates than the…

Probability · Mathematics 2020-07-21 Virginie Ehrlacher , Tony Lelièvre , Pierre Monmarché

We investigate the sensitivity of the measured broad emission-line responsivity dlog f_line/dlog f_cont to continuum variations in the context of straw-man BLR geometries of varying size with fixed BLR boundaries, and for which the…

Astrophysics of Galaxies · Physics 2015-06-22 M. R. Goad , K. T. Korista

For several processes at colliding beams, macroscopically large impact parameters give an essential contribution to the standard cross section. These impact parameters may be much larger than the transverse sizes of the colliding bunches.…

High Energy Physics - Phenomenology · Physics 2009-11-10 G. L. Kotkin , V. G. Serbo

A generic, model-independent method for the analysis of the two-particle short-range correlations is presented, that can be utilized to describe e.g. Bose-Einstein (HBT or GGLP), statistical, dynamical or other short-range correlation…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Csorgo , A. T. Szerzo

First, we have generalized the notion of Franhoufer diffraction of temporal coherent light from a single slit to the case of arbitrary n-slits. The diffraction pattern is investigated for different values of recently [19] introduced…

Optics · Physics 2023-10-20 E. Koushki , S. A. Alavi

In recent years, intense efforts have been devoted to studying how nonlinear effects can be used to shape the transverse beam distribution by means of an adiabatic crossing of nonlinear resonances. By this approach, it is possible to split…

Accelerator Physics · Physics 2023-02-15 A. Bazzani , F. Capoani , M. Giovannozzi , R. Tomàs

Self-supervised representation learning is heavily dependent on data augmentations to specify the invariances encoded in representations. Previous work has shown that applying diverse data augmentations is crucial to downstream performance,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-08 Philip Andrew Mansfield , Arash Afkanpour , Warren Richard Morningstar , Karan Singhal

A linear regression algorithm is applied to a digital-supermode distributed Bragg reflector laser to optimise wavelength switching times. The algorithm uses the output of a digital coherent receiver as feedback to update the pre-emphasis…

Signal Processing · Electrical Eng. & Systems 2020-04-22 Thomas Gerard , Hubert Dzieciol , Joshua Benjamin , Kari Clark , Hugh Williams , Benn Thomsen , Domaniç Lavery , Polina Bayvel

Poisson distributed measurements in inverse problems often stem from Poisson point processes that are observed through discretized or finite-resolution detectors, one of the most prominent examples being positron emission tomography (PET).…

Statistics Theory · Mathematics 2024-07-25 Marco Mauritz , Benedikt Wirth

Hybrid beamforming via large antenna arrays has shown a great potential for increasing data rate in cellular networks by delivering multiple data streams simultaneously. In this paper, several beamforming design algorithms are proposed…

Information Theory · Computer Science 2018-02-06 Shahram Shahsavari , S. Amir Hosseini , Chris Ng , Elza Erkip

The multiple passages of light through an absorption inhomogeneity of finite size deep within a turbid medium is analyzed for optical imaging using the ``self-energy'' diagram. The nonlinear correction becomes more important for an…

Soft Condensed Matter · Physics 2009-11-10 M. Xu , W. Cai , R. R. Alfano

Focusing and resonance properties of two-dimensional small-size hemielliptic lenses made of different materials are studied numerically in order to estimate the influence of internal reflections on the radiation characteristics of…

Optics · Physics 2010-01-12 A. V. Boriskin , R. Sauleau , A. I. Nosich

A typical application for laser interferometers is a precision measurement of length changes that result in interferometric phase shifts. Such phase changes are typically predicted numerically, due to the com- plexity of the overlap…

Optics · Physics 2014-06-06 Gudrun Wanner , Gerhard Heinzel

Recent work introduced a systematic method for designing so-called azimuthally modulated RF cavities that support transverse magnetic modes composed of user-desired multipoles, enabling precision control of the magnitude and orientation of…

Accelerator Physics · Physics 2026-05-22 Laurence Wroe , Walter Wuensch , Robert Apsimon

Estimating counterfactual outcomes over time from observational data is relevant for many applications (e.g., personalized medicine). Yet, state-of-the-art methods build upon simple long short-term memory (LSTM) networks, thus rendering…

Machine Learning · Computer Science 2022-06-06 Valentyn Melnychuk , Dennis Frauen , Stefan Feuerriegel

The coherent superposition of orthogonal modes can result in transverse offsets, variations of the Rayleigh length and a reduction of the beam quality factor of the coherent sum of modes in comparison to the incoherent sum. Relations for…

Optics · Physics 2021-11-10 Klaus Floettmann

Measurement error is a pervasive challenge across many disciplines, yet its impact on sample size determination and the accuracy and precision of estimators regarding the association between an exposure and an outcome remains understudied…

Methodology · Statistics 2025-05-27 Honghyok Kim