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Photon transport through a diffusing slab can be described by the radiative transfer equation (RTE). When the slab is highly scattering and weakly absorbing, the RTE simplifies to the diffusion equation. In this paper, an inverse diffusion…

The generalized Klein-Nishina formula for Compton scattering of charged particles by a finite train of pulses is derived in the framework of quantum electrodynamics. The formula also applies to classical Thomson scattering provided that…

High Energy Physics - Phenomenology · Physics 2015-08-04 K. Krajewska , F. Cajiao Vélez , J. Z. Kamiński

All-optical Compton sources combine laser wakefield accelerators and intense scattering pulses to generate ultrashort bursts of backscattered radiation. The scattering pulse plays the role of a short-period undulator in which relativistic…

Accelerator Physics · Physics 2023-05-25 Andreas Döpp , Igor Andriyash , Kim Ta Phuoc

X-ray Compton spectroscopy is one of the few direct probes of the electron momentum distribution of bulk materials in ambient and operando environments. We report high-resolution inelastic X-ray scattering experiments with high momentum and…

Instrumentation and Detectors · Physics 2022-11-30 U. Patel , T. Guruswamy , A. J. Krzysko , H. Charalambous , L. Gades , K. Wiaderek , O. Quaranta , Y. Ren , A. Yakovenko , A. Miceli

Mutual coupling is increasingly important in reconfigurable intelligent surface (RIS)-aided communications, particularly when RIS elements are densely integrated in applications such as holographic communications. This paper experimentally…

Signal Processing · Electrical Eng. & Systems 2024-07-02 Pinjun Zheng , Ruiqi Wang , Atif Shamim , Tareq Y. Al-Naffouri

Recent experiments aiming to measure phenomena predicted by strong field quantum electrodynamics have done so by colliding relativistic electron beams and high-power lasers. In such experiments, measurements of the collision parameters are…

Data Analysis, Statistics and Probability · Physics 2024-07-01 E. E. Los , C. Arran , E. Gerstmayr , M. J. V. Streeter , Z. Najmudin , C. P. Ridgers , G. Sarri , S. P. D Mangles

The Random Phase Approximation (RPA) is a widely employed post Hartree-Fock or DFT method, capable of capturing van der Waal interactions and other dynamic correlation effects at relatively low costs of $\mathcal O(N^3)$ in time and…

Materials Science · Physics 2015-09-02 Felix Hummel

Rotating-wave approximation and its validity in multi-state quantum systems are studied through analytic approach. Their applicability is also verified from the viewpoint of generic states by the use of direct numerical integrations of the…

Chaotic Dynamics · Physics 2009-04-23 Toshiya Takami , Hiroshi Fujisaki

Data-driven individualized decision making has recently received increasing research interests. Most existing methods rely on the assumption of no unmeasured confounding, which unfortunately cannot be ensured in practice especially in…

Methodology · Statistics 2022-12-26 Zhengling Qi , Rui Miao , Xiaoke Zhang

The dynamics of scattering on light nuclei is numerically expensive using standard methods. Fortunately, recent developments allow one to factor the relevant quantities for a given probe into a convolution of an $n$-body Transition Density…

Nuclear Theory · Physics 2025-04-02 Alexander Long , Harald W. Griesshammer

It has been proved theoetically and numerically that the highly relativistic electron beam can be accelerated efficiently via the Compton scattering induced by nonlinear Landau and cyclotron damping of the lower-hybrid waves.

Plasma Physics · Physics 2007-05-23 Reiji Sugaya , Tsunehiro Maehara , Masao Sugawa

We present a novel microlocal analysis of a non-linear ray transform, $\mathcal{R}$, arising in Compton Scattering Tomography (CST). Due to attenuation effects in CST, the integral weights depend on the reconstruction target, $f$, which has…

Functional Analysis · Mathematics 2025-09-19 James W. Webber , Sean Holman

The Dirac oscillators are shown to be an excellent expansion basis for solutions of the Dirac equation by $R$-matrix techniques. The combination of the Dirac oscillator and the $R$-matrix approach provides a convenient formalism for…

Nuclear Theory · Physics 2015-06-19 J. Grineviciute , Dean Halderson

Modern parabolic equation (PE) methods for wave propagation rely on application of a variety of fractional-powered differential operators. Rational approximations of these operators need to properly map their spectra onto the complex plane,…

Computational Physics · Physics 2025-10-22 Adith Ramamurti , Joseph F. Lingevitch , Jonathan C. Lighthall , Michael D. Collins

Iterative refinement is particularly popular for numerical solution of linear systems of equations. We extend it to Low Rank Approximation of a matrix (LRA) and observe close link of the resulting algorithm to oversampling techniques,…

Numerical Analysis · Mathematics 2024-11-28 Victor Y. Pan , Qi Luan , Soo Go

Exact computation of the partition function is known to be intractable, necessitating approximate inference techniques. Existing methods for approximate inference are slow to converge for many benchmarks. The control of accuracy-complexity…

Artificial Intelligence · Computer Science 2023-09-29 Shivani Bathla , Vinita Vasudevan

Scattering from objects near an antenna produce correlated signals from strong compact radio sources in a manner similar to those used by the Sea Interferometer to measure the radio source positions using the fine frequency structure in the…

Instrumentation and Methods for Astrophysics · Physics 2023-01-11 Alan E. E. Rogers , John P. Barrett , Judd D. Bowman , Rigel Cappallo , Colin J. Lonsdale , Nivedita Mahesh , Raul A. Monsalve , Steven G. Murray , Peter H. Sims

The values of ion-atom ionization cross sections are frequently needed for many applications that utilize the propagation of fast ions through matter. When experimental data and theoretical calculations are not available, approximate…

Atomic Physics · Physics 2008-11-26 Igor D. Kaganovich , Edward Startsev , Ronald C. Davidson

The Relativistic Plane Wave Impulse Approximation (RPWIA) is benchmarked against the established Relativistic Distorted Wave Impulse Approximation (RDWIA) for exclusive proton-induced proton knockout reactions ($\vec{p},2\vec{p}\,$) from…

Nuclear Theory · Physics 2026-05-28 T. Mello , G. C. Hillhouse , J. P. W. Diener

The Empirical Interpolation Method (EIM) and its generalized version (GEIM) can be used to approximate a physical system by combining data measured from the system itself and a reduced model representing the underlying physics. In presence…

Numerical Analysis · Mathematics 2016-11-08 J. P. Argaud , B. Bouriquet , H. Gong , Y. Maday , O. Mula
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