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We analyze the propagation of waves in unbounded photonic crystals, the waves are described by a Helmholtz equation with $x$-dependent coefficients. The scattering problem must be completed with a radiation condition at infinity, which was…

Analysis of PDEs · Mathematics 2017-01-10 Agnes Lamacz , Ben Schweizer

We describe in detail the techniques needed to compute scattering amplitudes for colored scalars from the infinite tension limit of bosonic string theory, up to two loops. These techniques apply both to cubic and quartic interactions, and…

High Energy Physics - Theory · Physics 2009-10-31 Alberto Frizzo , Lorenzo Magnea , Rodolfo Russo

Tree-level scattering amplitudes of particles have a geometrical description in terms of intersection numbers of pairs of twisted differential forms on the moduli space of Riemann spheres with punctures. We customize a catalog of twisted…

High Energy Physics - Theory · Physics 2022-12-26 Pouria Mazloumi , Stephan Stieberger

The disturbance of the transmission of light through a diffusive medium due to an object hidden in it can be expressed in terms of an effective charge and dipole moment. In the mesoscopic regime, beyond the diffusion approximation, we…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 David Lancaster , Theo Nieuwenhuizen

We consider wave scattering from a system of highly contrasting resonators with time-modulated material parameters. In this setting, the wave equation reduces to a system of coupled Helmholtz equations that models the scattering problem. We…

Mathematical Physics · Physics 2024-01-05 Habib Ammari , Jinghao Cao , Erik Orvehed Hiltunen , Liora Rueff

In this paper, we investigate wave scattering by a pair of closely spaced inclusions embedded in a homogeneous medium, characterized by a high contrast physical parameters. The system is modeled by the two-dimensional Helmholtz equation. We…

Analysis of PDEs · Mathematics 2025-11-21 Hongjie Dong , Hongjie Li , Longjuan Xu

We consider the scattering of waves by a penetrable inclusion embedded in some reference medium. We exhibit examples of materials and geometries for which non-scattering frequencies exist, i.e., for which at some frequencies there are…

Analysis of PDEs · Mathematics 2024-12-20 Lucas Chesnel , Houssem Haddar , Hongjie Li , Jingni Xiao

This study revisits the absorption and scattering process by which a massless scalar field impinges on a charged dilatonic black hole. First, we review the classical analysis to obtain the deflection angle and the differential scattering…

General Relativity and Quantum Cosmology · Physics 2022-03-28 Martín G. Richarte , Ébano L. Martins , Júlio C. Fabris

Over the past couple of years we have had significant progress in determining long-distance singularities in gauge-theory scattering amplitudes of massless particles beyond the planar limit. Upon considering all kinematic invariants much…

High Energy Physics - Phenomenology · Physics 2018-01-11 Einan Gardi

The collision of two ultra-cold atoms results in a quantum-mechanical superposition of two outcomes: each atom continues without scattering and each atom scatters as a spherically outgoing wave with an s-wave phase shift. The magnitude of…

Quantum Physics · Physics 2007-05-23 Russell A. Hart , Xinye Xu , Ronald Legere , Kurt Gibble

We discuss the scattering of a light pulse by a single atom in free space using a purely semi-classical framework. The atom is treated as a linear elastic scatterer allowing to treat each spectral component of the incident pulse separately.…

Quantum Physics · Physics 2013-10-01 Markus Sondermann , Gerd Leuchs

We emphasize that scattering amplitudes of a wide class of models to any order in the coupling are constructible by on-shell tree subamplitudes. This follows from the Feynman-tree theorem combined with BCFW on-shell recursion relations. In…

High Energy Physics - Theory · Physics 2016-05-18 M. Maniatis

We present a general formalism describing a propagation of an arbitrary multiparticle wave packet in a one-dimensional multimode chiral channel coupled to an ensemble of emitters which are distributed at arbitrary positions. The formalism…

Quantum Physics · Physics 2012-10-01 Mikhail Pletyukhov , Vladimir Gritsev

The Busch-formula relates the energy-spectrum of two point-like particles interacting in a 3-D isotropic Harmonic Oscillator trap to the free scattering phase-shifts of the particles. This formula is used to find an expression for the \it…

Nuclear Theory · Physics 2011-10-04 H. S. Kohler

The scattering theory of the integrable statistical models can be generalized to the case of systems with extended lines of defect. This is done by adding the reflection and transmission amplitudes for the interactions with the line of…

High Energy Physics - Theory · Physics 2009-10-28 G. Delfino , G. Mussardo , P. Simonetti

We consider the scattering of high energy and ultra relativistic spherically symmetric shells in asymptotically AdS$_D$ spacetimes. We analyze an exclusive amplitude where a single spherically symmetric shell goes in and a single one comes…

High Energy Physics - Theory · Physics 2023-05-03 Ibrahima Bah , Yiming Chen , Juan Maldacena

A quantum scattering theory is developed for Fock states scattered by two-level systems in the free space. Compared to existing scattering theories that treat incident light semi-classically, the theory fully quantizes the incident light as…

Optics · Physics 2016-09-21 Jingfeng Liu , Ming Zhou , Zongfu Yu

Collective coherent scattering of laser light by an ensemble of polarizable point particles creates long range interactions, whose properties can be tailored by choice of injected laser powers, frequencies and polarizations. We use a…

Quantum Physics · Physics 2015-06-17 Stefan Ostermann , Matthias Sonnleitner , Helmut Ritsch

Excited hadrons are seen as resonances in the scattering of lighter stable hadrons like $\pi$, $K$ and $\eta$. Many decay into multiple final states necessitating coupled-channel analyses. Recently it has become possible to obtain…

High Energy Physics - Lattice · Physics 2016-11-23 David J. Wilson

A dense cloud of atoms with randomly changing positions exhibits coherent and incoherent scattering. We show that an atomic cloud of subwavelength dimensions can be modeled as a single scatterer where both coherent and incoherent components…

Quantum Physics · Physics 2021-06-30 Rasoul Alaee , Akbar Safari , Robert W. Boyd
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