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An ensemble of resonators arranged on a sub-wavelength scale is usually considered as a bulk effective medium, known as a metamaterial, and can offer unusual macroscopic properties. Here, we take a different approach and limit ourselves to…

Optics · Physics 2019-10-09 S. Metais , G. Lerosey , F. Lemoult

The WS time delay matrix relates a lossless and reciprocal system's scattering matrix to its frequency derivative, and enables the synthesis of modes that experience well-defined group delays when interacting with the system. The elements…

Computational Physics · Physics 2021-07-28 Utkarsh R. Patel , Eric Michielssen

The recently derived distributions for the scattering-matrix elements in quantum chaotic systems are not accessible in the majority of experiments, whereas the cross sections are. We analytically compute distributions for the off-diagonal…

Quantum Physics · Physics 2017-12-27 Santosh Kumar , Barbara Dietz , Thomas Guhr , Achim Richter

I review how methods from mesoscopic physics can be applied to describe the multiple wave scattering and complex wave dynamics in non-hermitian PT-symmetric resonators, where an absorbing region is coupled symmetrically to an amplifying…

Quantum Physics · Physics 2013-04-18 Henning Schomerus

Global and national efforts to deliver high-quality nuclear data to users have a broad impact across applications such as national security, reactor operation, basic science, medical fields, and more. Cross section evaluation is a large…

Computational Physics · Physics 2025-05-08 Noah A. W. Walton , Oleksii Zivenko , William Fritsch , Jacob Forbes , Amanda Lewis , Jesse Brown , Vlad Sobes

We demonstrate how S-matrix poles manifest themselves as the physical spectrum near the upper threshold in the context of the two-channel uniformized Mittag-Leffler expansion, an expression written as a sum of pole terms under an…

High Energy Physics - Phenomenology · Physics 2022-02-09 Wren A. Yamada , Osamu Morimatsu , Toru Sato , Koichi Yazaki

A statistical framework is presented for the study of the orthogonally polarized modes of radio pulsar emission via the covariances between the Stokes parameters. To accommodate the typically heavy-tailed distributions of single-pulse radio…

Instrumentation and Methods for Astrophysics · Physics 2017-02-07 Willem van Straten , Caterina Tiburzi

We give a pedagogical introduction to the theory of resonances, focusing specifically on the spectrum of excited strongly interacting particles. After providing historical context starting from the atomic theory, we summarize the status of…

High Energy Physics - Phenomenology · Physics 2025-04-14 Maxim Mai

This work continues the development of the raytracing method of [1] for computing the scattered fields from metasurfaces characterized by locally periodic reflection and transmission coefficients. In this work, instead of describing the…

Optics · Physics 2022-02-16 Scott Stewart , Yvo L. C. de Jong , Tom J. Smy , Shulabh Gupta

We employ a variational basis with a number of $\bar{q}q$ and $\pi\pi$ lattice interpolating fields with quantum numbers of the $\rho$ resonance to extract the discrete energy spectrum in a finite volume. In the elastic region, this…

High Energy Physics - Lattice · Physics 2014-04-21 C. B. Lang , Daniel Mohler , Sasa Prelovsek , Matija Vidmar

We consider a one-body spin-less electron spectral problem for a resonance scattering system constructed of a quantum well weakly connected to a noncompact exterior reservoir, where the electron is free. The simplest kind of the resonance…

Mathematical Physics · Physics 2009-02-26 B. Pavlov

Atomic and molecular breakup reactions, such as multiple-ionisation, are described by a driven Schr\"odinger equation. This equation is equivalent to a high-dimensional Helmholtz equation and it has solutions that are outgoing waves,…

Numerical Analysis · Mathematics 2022-03-22 Jacob Snoeijer , Wim Vanroose

A general one-loop scattering amplitude may be expanded in terms of master integrals. The coefficients of the master integrals can be obtained from tree-level input in a two-step process. First, use known formulas to write the coefficients…

High Energy Physics - Phenomenology · Physics 2009-01-14 Ruth Britto , Bo Feng , Gang Yang

The Bethe-Salpeter equation restores exact elastic unitarity in the s- channel by summing up an infinite set of chiral loops. We use this equation to show how a chiral expansion can be undertaken by successive approximations to the…

Nuclear Theory · Physics 2009-10-31 Juan Nieves , Enrique Ruiz Arriola

Different methods for extracting resonance parameters from Euclidean lattice field theory are tested. Monte Carlo simulations of the O(4) non-linear sigma model are used to generate energy spectra in a range of different volumes both below…

High Energy Physics - Lattice · Physics 2013-04-16 Pietro Giudice , Darran McManus , Mike Peardon

In many radar scenarios, the radar target or the medium is assumed to possess randomly varying parts. The properties of a target are described by a random process known as the spreading function. Its second order statistics under the WSSUS…

Information Theory · Computer Science 2011-11-18 Onur Oktay , Götz Pfander , Pavel Zheltov

I present numerical study of an elastic scattering by solving second order differential equations of Schroedinger Equation for some types of central potential (eg. square well, Yukawa, and Woods-Saxon) to find the wave function inside the…

Nuclear Theory · Physics 2021-09-14 C. Wibisono

We apply the soft-collinear effective theory (SCET) to deep inelastic scattering near the endpoint region. The forward scattering amplitude, and the structure functions are shown to factorize as a convolution of the Wilson coefficients, the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Junegone Chay , Chul Kim

We present a FORTRAN 77 code for evaluation of resonance pole positions and residues of a numerical scattering matrix element in the complex energy (CE) as well as in the complex angular momentum (CAM) planes. Analytical continuation of the…

Computational Physics · Physics 2022-04-13 D. Sokolovski , E. Akhmatskaya , S. K. Sen

The scattering of quasiperiodic waves for a two-dimensional Helmholtz equation with a constant refractive index perturbed by a function which is periodic in one direction and of finite support in the other is considered. The scattering…

Mathematical Physics · Physics 2019-10-23 P. Zhevandrov , A. Merzon , M. I. Romero Rodríguez , J. E. de la Paz Méndez
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