English
Related papers

Related papers: Rapid Computation of the Plasma Dispersion Functio…

200 papers

In-situ measurements of space plasma throughout the solar system require high time resolution to understand the plasma's kinetic fine structure and evolution. In this context, research~is conducted to design instruments with the capability…

Instrumentation and Detectors · Physics 2020-12-01 Benjamin Criton , Georgios Nicolaou , Daniel Verscharen

Modeling spectral line profiles taking frequency redistribution effects into account is a notoriously challenging problem from the computational point of view, especially when polarization phenomena (atomic polarization and polarized…

Solar and Stellar Astrophysics · Physics 2021-01-04 A. Paganini , B. Hashemi , E. Alsina Ballester , L. Belluzzi

Most of our knowledge of the physical processes in distant plasmas is obtained through measurement of the radiation they produce. Here we provide an overview of the main collisional and radiative processes and examples of diagnostics…

Solar and Stellar Astrophysics · Physics 2013-03-20 Stephen J. Bradshaw , John C. Raymond

We propose an efficient mechanism to heat a plasma by an intense microwave field solving the equation of ion motion in a wave field and a constant magnetic field in a large coupling regime. The mechanism does not relies explicitly on…

Plasma Physics · Physics 2007-05-23 Marco Frasca

Point multipole expansions are widely used to gain physical insight into complex distributions of charges and to reduce the cost of computing interactions between such distributions. However, practical applications that typically retain…

Classical Physics · Physics 2015-06-03 Charles Baker , Ramu Anandakrishnan , Alexey Onufriev

We present a simple but efficient method of calculating Stieltjes constants at a very high level of precision, up to about 80000 significant digits. This method is based on the hypergeometric-like expansion for the Riemann zeta function…

Number Theory · Mathematics 2022-10-13 Krzysztof Maślanka , Andrzej Koleżyński

A universal method of strictly calculating self-consistent fields of realistic plasma particles could be strictly derived from three basic tools in theoretical plasma physics: particle simulation, Vlasov-Maxwell theory and fluid theory.

Plasma Physics · Physics 2010-08-17 H. Lin

Extreme-ultraviolet pulses can propagate through ionised solid-density targets, unlike optical pulses and, thus, have the potential to probe the interior of such plasmas on sub-femtosecond timescales. We present a synthetic diagnostic…

Plasma Physics · Physics 2022-04-27 Andréas Sundström , István Pusztai , Per Eng-Johnsson , Tünde Fülöp

In this work we show a rational approximation of the Dawson's integral that can be implemented for high-accuracy computation of the complex error function in a rapid algorithm. Specifically, this approach provides accuracy exceeding $\sim…

Numerical Analysis · Mathematics 2017-11-27 S. M. Abrarov , B. M. Quine

The aim of this work is to perform numerical simulations of the propagation of a laser in a plasma. At each time step, one has to solve a Helmholtz equation in a domain which consists in some hundreds of millions of cells. To solve this…

Numerical Analysis · Mathematics 2009-11-13 Sylvain Desroziers , Frédéric Nataf , Remi Sentis

The physical foundations of the dissipation of energy and the associated heating in weakly collisional plasmas are poorly understood. Here, we compare and contrast several measures that have been used to characterize energy dissipation and…

This paper presents a robust numerical method for calculating the total absorption rate of electromagnetic waves in magnetized plasmas, capable of determining the absorption ratio among different plasma components. The method adopts…

Plasma Physics · Physics 2025-11-18 Wanying Yu , Huasheng Xie , Aohua Mao , Haojie Ma , Zhengxiong Wang

We calculate the proton distribution function due to heating by subsonic (Alfvenic) turbulence in a weakly magnetized collisionless plasma. The distribution function is nonthermal. For non-relativistic energies, it is an exponential of the…

Astrophysics · Physics 2009-10-30 Andrei Gruzinov , Eliot Quataert

The concept of diffusion in collisionless space plasmas like those near the magnetopause and in the geomagnetic tail is reexamined from a fundamental statistical point of view making use of the division of particle orbits into waiting…

Space Physics · Physics 2014-06-25 R. A. Treumann , W. Baumjohann

The collision operator for a relativistic plasma is reformulated in terms of an expansion in spherical harmonics. In this formulation the collision operator is expressed in terms of five scalar potentials which are given by one-dimensional…

plasm-ph · Physics 2008-02-03 Bastiaan J. Braams , Charles F. F. Karney

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

There are three main types of numerical computations for the Bessel function of the second kind: series expansion, continued fraction, and asymptotic expansion. In addition, they are combined in the appropriate domain for each. However,…

Numerical Analysis · Mathematics 2021-09-09 Takashi Takekawa

In non-ideal plasmas, the dielectric function has to be treated beyond the random phase approximation. Correlations and well as collisions have to be included. These corrections are known as (dynamical) local field corrections. With the…

Plasma Physics · Physics 2008-12-22 August Wierling

Contribution of plasma oscillation to the broadband terahertz emission is revealed by interacting two-color laser pulses with a supersonic jet of nitrogen molecules. Temporal and spectral shifts of THz waves are observed as the plasma…

Optics · Physics 2016-11-03 Na Li , Ya Bai , Tianshi Miao , Peng Liu , Ruxin Li , Zhizhan Xu

We study the value-distribution of the Hurwitz zeta-function with algebraic irrational parameter $\zeta(s;\alpha)=\sum_{n\geq_0}(n+\alpha)^{-s}$. In particular, we prove effective denseness results of the Hurwitz zeta-function and its…

Number Theory · Mathematics 2022-06-28 Athanasios Sourmelidis , Jörn Steuding