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Relativistic electrons generated by the interaction of petawatt-class short laser pulses with solid targets can be used to generate bright X-rays via bremsstrahlung. The efficiency of laser energy transfer into these electrons depends on…

Linear mixed models (LMMs) are used as an important tool in the data analysis of repeated measures and longitudinal studies. The most common form of LMMs utilize a normal distribution to model the random effects. Such assumptions can often…

Methodology · Statistics 2016-02-16 Hien D. Nguyen , Geoffrey J. McLachlan

Numerical modelling of several coupled passive linear dynamical systems (LDS) is considered. Since such component systems may arise from partial differential equations, transfer function descriptions, lumped systems, measurement data, etc.,…

Optimization and Control · Mathematics 2019-11-12 Juha Kuortti , Jarmo Malinen , Tom Gustafsson

We have extended the multilevel summation (MLS) method, originally developed to evaluate long-range Coulombic interactions in molecular dynamics (MD) simulations [Skeel et al., J. Comput. Chem., 23, 673 (2002)], to handle dispersion…

Materials Science · Physics 2014-01-16 Daniel Tameling , Paul Springer , Paolo Bientinesi , Ahmed E. Ismail

We propose a new approach to high-intensity laser-driven electron acceleration in a plasma. Here, we demonstrate that a plasma wave generated by a stimulated forward-scattering of an incident laser pulse can be in a longest acceleration…

Plasma Physics · Physics 2014-05-09 A. A. Rukhadze , S. P. Sadykova , T. G. Samkharadze , P. Gibbon

The participation factor (PF), as an important modal property for small-signal stability, evaluates the linkage between a state variable and a mode. Applying the normal form theory, a nonlinear PF can be defined to evaluate the…

Dynamical Systems · Mathematics 2023-02-21 Tianwei Xia , Kai Sun

The beam-plasma instability can be addressed as a reduced model in several contexts of plasma physics, from space to fusion plasma. In this paper, we review and refine some non-linear features of this model. Specifically, by analyzing the…

Plasma Physics · Physics 2020-09-04 Nakia Carlevaro , Giovanni Montani , Matteo Valerio Falessi

Pre- and post-selected (PPS) measurement, especially the weak PPS measurement, is a useful protocol for amplifying small physical parameters. However, it is difficult to retain both the attainable highest measurement sensitivity and…

Quantum Physics · Physics 2019-03-27 Zhaoxue Li , Jiangdong Qiu , Xiaodong Qiu , Linguo Xie , Lan Luo , Xiong Liu , Yu He , Qi Wang , Zhiyou Zhang , JingLei Du

A comprehensive theory is proposed to describe the propagation and absorption of ultra-intense, short laser pulse through the under-dense plasma. The kinetic aspects of plasma are fully incorporated using extensive particle-in-cell (PIC)…

Plasma Physics · Physics 2015-12-01 Jam Yazdanpanah , Elnaz Yazdani , Amir Chakhmachi , Elnaz Khalilzadeh

Laser-generated plasma gratings are dynamic optical elements for the manipulation of coherent light at high intensities, beyond the damage threshold of solid-stated based materials. Their formation, evolution and final collapse require a…

Plasma Physics · Physics 2020-01-01 H. Peng , C. Riconda , M. Grech , J. -Q. Su , S. Weber

The aim of this article is to analyze data from multiple repairable systems under the presence of dependent competing risks. In order to model this dependence structure, we adopted the well-known shared frailty model. This model provides a…

Strongly magnetizing a plasma adds a range of waves that do not exist in unmagnetized plasmas and enlarges the laser-plasma interaction (LPI) landscape. In this paper, we use particle-in-cell (PIC) simulations to investigate strongly…

Plasma Physics · Physics 2022-11-23 Lili Manzo , Matthew R. Edwards , Yuan Shi

Using a time-dependent approach the analysis and optimization of a planar FEL-amplifier with an axial magnetic field and an irregular waveguide is performed. By applying methods of nonlinear dynamics three-dimensional equations of motion…

Plasma Physics · Physics 2013-12-03 V. A. Goryashko

Backward Raman amplification of laser pulses in plasmas can produce nearly relativistic unfocused output intensities and multi-exawatt powers in compact devices. The largest achievable intensity depends on which of major competitive…

Plasma Physics · Physics 2015-06-22 V. M. Malkin , Z. Toroker , N. J. Fisch

We develop a new computational approach for "focused" optimal Bayesian experimental design with nonlinear models, with the goal of maximizing expected information gain in targeted subsets of model parameters. Our approach considers…

Computation · Statistics 2019-03-28 Chi Feng , Youssef M. Marzouk

The correlated behavior of electrons determines the structure and optical properties of molecules, semiconductor and other systems. Valuable information on these correlations is provided by measuring the response to femtosecond laser…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shaul Mukamel , Rafal Oszwaldowski , Lijun Yang

In this work, we consider the application of model-based deep learning in nonlinear principal component analysis (PCA). Inspired by the deep unfolding methodology, we propose a task-based deep learning approach, referred to as Deep-RLS,…

Signal Processing · Electrical Eng. & Systems 2020-11-19 Zahra Esmaeilbeig , Shahin Khobahi , Mojtaba Soltanalian

Perturbative guiding center theory adequately describes the slow drift motion of charged particles in the strongly-magnetized regime characteristic of thermal particle populations in various magnetic fusion devices. However, it breaks down…

Plasma Physics · Physics 2025-04-08 J. W. Burby , I. A. Maldonado , M. Ruth , D. A. Messenger

This study presents a physics-informed machine learning-based control method for nonlinear dynamic systems with highly noisy measurements. Existing data-driven control methods that use machine learning for system identification cannot…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Mason Ma , Jiajie Wu , Chase Post , Tony Shi , Jingang Yi , Tony Schmitz , Hong Wang

The mixed nonlinear Schr\"odinger (MNLS) equation is a model for the propagation of the Alfv\'en wave in plasmas and the ultrashort light pulse in optical fibers with two nonlinear effects of self-steepening and self phase-modulation(SPM),…

Exactly Solvable and Integrable Systems · Physics 2014-07-28 Jingsong He , Shuwei Xu , Yi Cheng