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Until recently, electromagnetic finite element PIC (EM-FEMPIC) methods that demonstrated charge conservation used explicit field solvers. It is only recently, that a series of papers developed the mathematics necessary for charge…

Computational Physics · Physics 2021-11-25 Zane D. Crawford , O. H. Ramachandran , Scott O'Connor , John Luginsland , B. Shanker

The state of art of charge-conserving electromagnetic finite element particle-in-cell has grown by leaps and bounds in the past few years. These advances have primarily been achieved for leap-frog time stepping schemes for Maxwell solvers,…

Numerical Analysis · Mathematics 2023-05-10 Omkar H. Ramachandran , Leo C. Kempel , John Luginsland , B. Shanker

Developing particle-in-cell (PIC) methods using finite element basis sets, and without auxiliary divergence cleaning methods, was a long standing problem until recently. It was shown that if consistent spatial basis functions are used, one…

Plasma Physics · Physics 2021-10-04 Scott O'Connor , Zane D. Crawford , O. H. Ramachandran , John Luginsland , B. Shanker

Modeling of kinetic plasmas using electromagnetic particle in cell methods (EM-PIC) is a problem that is well worn, in that methods developed have been used extensively both understanding physics and exploiting them for device design.…

Computational Physics · Physics 2021-12-01 Zane D. Crawford , Scott O'Connor , John Luginsland , B. Shanker

In this work we propose an efficient and accurate multi-scale optical simulation algorithm by applying a numerical version of slowly varying envelope approximation in FEM. Specifically, we employ the fast iterative method to quickly compute…

Optics · Physics 2024-12-03 Fan Xiao , Jingwei Wang , Zhongfei Xiong , Yuntian Chen

Development of particle in cell methods using finite element based methods (FEMs) have been a topic of renewed interest; this has largely been driven by (a) the ability of finite element methods to better model geometry, (b) better…

Computational Physics · Physics 2022-04-13 Scott O'Connor , Zane D. Crawford , O. H. Ramachandran , John Luginsland , B. Shanker

The most popular methods for self-consistent simulation of fields interacting with charged species is using finite difference time domain (FDTD) methods together with Newton's laws of motion to evolve locations and velocities of particles.…

Computational Physics · Physics 2022-04-29 Zane D. Crawford , O. H. Ramachandran , Scott O'Connor , Daniel L. Dault , John Luginsland , B. Shanker

Phenomena taking place in capacitively coupled plasmas with large electrodes and driven at very high frequencies are studied numerically utilizing a novel energy- and charge-conserving implicit fully electromagnetic particle-in-cell / Monte…

Plasma Physics · Physics 2023-05-17 D. Eremin , E. Kemaneci , M. Matsukuma , T. Mussenbrock , R. P. Brinkmann

We present a novel framework for Finite Element Particle-in-Cell methods based on the discretization of the underlying Hamiltonian structure of the Vlasov-Maxwell system. We derive a semi-discrete Poisson bracket, which retains the defining…

Numerical Analysis · Mathematics 2017-10-05 Michael Kraus , Katharina Kormann , Philip J. Morrison , Eric Sonnendrücker

We introduce a Galilean electromagnetic particle-in-cell (GEM-PIC) algorithm, which transforms the full set of Maxwell equations and the Vlasov equation into the boosted coordinates. This approach preserves the electromagnetic structure of…

Plasma Physics · Physics 2026-05-21 Alexander Pukhov , Nina Elkina , Tom Wilson

A device and a method for producing ultrashort electron pulses with GHz repetition rates via pulsing an input direct current (dc) electron beam are provided. The device and the method are based on an electromagnetic-mechanical pulser (EMMP)…

Instrumentation and Detectors · Physics 2015-08-18 Jiaqi Qiu , Gwanghui Ha , Chunguang Jing , Sergey V. Baryshev , Bryan W. Reed , Yimei Zhu , June W. Lau

The particle-in-cell (PIC) method has been widely used for plasma simulation, because of its noise-reduction capability and moderate computational cost. The immersed finite element (IFE) method is efficient for solving interface problems on…

Numerical Analysis · Mathematics 2019-10-18 Jinwei Bai , Yong Cao , Yuchuan Chu , Xu Zhang

We present a data-driven reduced-order modeling of the space-charge dynamics for electromagnetic particle-in-cell (EMPIC) plasma simulations based on dynamic mode decomposition (DMD). The dynamics of the charged particles in kinetic plasma…

Plasma Physics · Physics 2025-07-29 Indranil Nayak , Fernando L. Teixeira , Dong-Yeop Na , Mrinal Kumar , Yuri A. Omelchenko

We have obtained an electromagnetic PIC (EM-PIC) algorithm based on time-space-extended particle in cell model. In this model particles are shaped objects extended over time and space around Lagrangian markers. Sources carried by these…

Plasma Physics · Physics 2011-09-09 J. Yazdanpanah

In this paper we present a novel approach to FEL simulations based on the decomposition of the electromagnetic field in a finite number of radiation modes. The evolution of each mode amplitude is simply determined by energy conservation.…

Accelerator Physics · Physics 2020-11-18 A. Fisher , P. Musumeci , S. B. Van der Geer

In this work, we present an efficient numerical implementation of the finite element method for modal analysis that leverages various symmetry operations, including spatial symmetry in point groups and space-time symmetry in…

Optics · Physics 2024-09-12 Jingwei Wang , Lida Liu , Yuhao Jing , Zhongfei Xiong , Yuntian Chen

Achieving large-scale kinetic modelling is a crucial task for the development and optimization of modern plasma devices. With the trend of decreasing pressure in applications such as plasma etching, kinetic simulations are necessary to…

This work presents novel discrete event-based simulation algorithms based on the Quantized State System (QSS) numerical methods. QSS provides attractive features for particle transportation processes, in particular a very efficient handling…

Computational Physics · Physics 2021-09-16 Lucio Santi , Lucas Rossi , Rodrigo Castro

The time-resolved electron beam envelope parameters including sectional distribution and position are important and necessary for the study of beam transmission characteristics in the magnetic field and verifying the magnetic field setup…

Accelerator Physics · Physics 2015-02-10 Jiang Xiaoguo , Wang Yuan , Yang Zhiyong , Zhang Huang , Wang Yi , Wei Tao

We report a new particle in cell (PIC) method based on the semi-implicit approach. The novelty of the new method is that unlike any of its semi-implicit predecessors at the same time retains the explicit computational cycle and conserves…

Computational Physics · Physics 2017-03-08 Giovanni Lapenta
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