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In the context of providing a mathematical framework for the propagation of ultrasound waves in a random multiscale medium, we consider the scattering of classical waves (modeled by a divergence form scalar Helmholtz equation) by a bounded…

Analysis of PDEs · Mathematics 2023-09-15 Josselin Garnier , Laure Giovangigli , Quentin Goepfert , Pierre Millien

Scattering of electromagnetic fields by a defect layer embedded in a slow-light periodically layered ambient medium exhibits phenomena markedly different from typical scattering problems. In a slow-light periodic medium, constructed by…

Mathematical Physics · Physics 2016-01-19 Stephen P. Shipman , Aaron T. Welters

It is expected that the state of an atom or molecule, initially put into an excited state with an energy below the ionization threshold, relaxes to a groundstate by spontaneous emission of photons which propagate to spatial infinity. In…

Mathematical Physics · Physics 2007-05-23 J. Froehlich , M. Griesemer , B. Schlein

The features of the scattering of massive neutral particles propagating in the field of a gravitational plane wave are compared with those characterizing their interaction with an electromagnetic radiation field. The motion is geodesic in…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico , Maria Haney , Robert T. Jantzen

The problem of radio wave reflection from an optically thick plane monotonous layer of magnetized plasma is considered at present work. The plasma electron density irregularities are described by spatial spectrum of an arbitrary form. The…

Plasma Physics · Physics 2009-10-31 N. A. Zabotin , A. G. Bronin , G. A. Zhbankov

The polarization of radiation by scattering on an atom embedded in combined external quadrupole electric and uniform magnetic fields is studied theoretically. Limiting cases of scattering under Zeeman effect and Hanle effect in weak…

Astrophysics · Physics 2015-06-24 Yee Yee Oo , M. Sampoorna , K. N. Nagendra , Sharath Ananthamurthy , G. Ramachandran

We present a generic transfer matrix approach for the description of the interaction of atoms possessing multiple ground state and excited state sublevels with light fields. This model allows us to treat multi-level atoms as classical…

Quantum Physics · Physics 2011-01-24 André Xuereb , Peter Domokos , Peter Horak , Tim Freegarde

A new method is applied to construct an exact solution for the radiation field of a particle moving along an infinite helical trajectory. The solution is obtained in the form of a series expansion in cylindrical multipoles. The obtained…

Accelerator Physics · Physics 2024-10-10 M. I. Ivanyan , B. Grigoryan , A. Grigoryan , L. Aslyan , V. Avagyan , H. Babujyan , S. Arutunian , K. Floettmann , F. Lemery

A determination is made of the radiation emitted by a linearly uniformly accelerated uncharged dipole transmitter. It is found that, first of all, the radiation rate is given by the familiar Larmor formula, but it is augmented by an amount…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ulrich H. Gerlach

By invoking the relativistic spectral radiance, as derived by Lee and Cleaver [1], the drag radiation pressure of a relativistic planar surface moving through an isotropic radiation field, with which it is in thermal equilibrium, is…

General Relativity and Quantum Cosmology · Physics 2016-06-23 Jeff S. Lee , Gerald B. Cleaver

We identify and study a class of hyperbolic 3-manifolds (which we call Macfarlane manifolds) whose quaternion algebras admit a geometric interpretation analogous to Hamilton's classical model for Euclidean rotations. We characterize these…

Geometric Topology · Mathematics 2019-06-28 Joseph A. Quinn

This paper considers the problem of modeling the light polarization that emerges from an astrophysical plasma composed of atoms whose excitation state is significantly influenced by the anisotropy of the incident radiation field. In…

Solar and Stellar Astrophysics · Physics 2011-05-03 Javier Trujillo Bueno

The six-fold rotational symmetry of photonic crystal fibers has important manifestations in the radiated fields in terms of i) a focusing phenomena at a finite distance from the end-facet and ii) the formation of low-intensity satellite…

Optics · Physics 2007-05-23 Ali Dabirian , Mahmood Akbari , Niels Asger Mortensen

Light emitters or scatterers embedded in stratified media may couple energy to both free space modes and guided modes of the stratified structure. For a comprehensive analysis, it is important to evaluate the angular intensity distribution…

Optics · Physics 2016-05-16 Jianji Yang , Jean-Paul Hugonin , Philippe Lalanne

We consider electron-atom scattering in a circularly polarized laser field at sufficiently high electron energies, permitting to describe the scattering process by the first order Born approximation. Assuming the radiation field has…

Atomic Physics · Physics 2013-03-07 Aurelia Cionga , Fritz Ehlotzky , Gabriela Zloh

We derive Heisenberg uncertainty principles for pairs of Linear Canonical Transforms of a given function, by resorting to the fact that these transforms are just metaplectic operators associated with free symplectic matrices. The results…

Functional Analysis · Mathematics 2024-05-20 Nuno Costa Dias , Maurice de Gosson , João Nuno Prata

Electromagnetic wave scattering by many parallel infinite cylinders is studied asymptotically as $a\to 0$. Here $a$ is the radius of the cylinders. It is assumed that the points $\hat{x}_m$ are distributed so that…

Mathematical Physics · Physics 2012-09-03 Alexander G. Ramm

For a group of charged particles obeying quantum mechanics interacting with an electromagnetic field, the charge and current density in a pure state of the system are expressed with the many-body wave function of the state. Using these as…

Statistical Mechanics · Physics 2015-06-11 MingLiang Zhang , D. A. Drabold

We derive a formalism to describe the scattering of polarized radiation over the full spectral range encompassed by atomic transitions belonging to the same spectral series (e.g., the H I Lyman and Balmer series, the UV multiplets of Fe I…

Solar and Stellar Astrophysics · Physics 2017-12-13 R. Casini , R. Manso Sainz , T. del Pino Aleman

The classical Bondi-Penrose approach to the gravitational radiation theory in asymptotically flat spacetimes is recalled and recent advances in the proofs of the existence of such spacetimes are briefly reviewed. We then mention the unique…

General Relativity and Quantum Cosmology · Physics 2017-08-23 J. Bicak , P. Krtous