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A special non-linear electromagnetic field theory - the curvilinear wave electrodynamics (CWED), whose equation in the matrix form is similar to the equation of the Dirac lepton theory, is offered. It is shown that the solution of this…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander G. Kyriakos

In previous paper we have shown that there is a special kind of nonlinear electrodynamics - Curvilinear Wave Electrodynamics (CWED), whose equations are mathematically equivalent to the equations of quantum electrodynamics. The purpose of…

Mathematical Physics · Physics 2007-05-23 Alexander G. Kyriakos

Scattering of electromagnetic waves by many small particles of arbitrary shapes is reduced rigorously to solving linear algebraic system of equations bypassing the usual usage of integral equations. The matrix elements of this linear…

Mathematical Physics · Physics 2009-11-11 A. G. Ramm

Scattering of electromagnetic (EM) waves by one and many small ($ka\ll 1$) impedance particles $D_m$ of an arbitrary shape, embedded in a homogeneous medium, is studied. Analytic formula for the field, scattered by one particle, is derived.…

Analysis of PDEs · Mathematics 2013-04-10 A. G. Ramm

In previous paper we have shown that there is a special kind of non-linear electrodynamics (which we name Curvilinear Wave Electrodynamics - CWED), whose equations are mathematically equivalent to the equations of photons and leptons of…

General Physics · Physics 2007-05-23 Alexander G. Kyriakos

Scattering of electromagnetic (EM) waves by many small particles (bodies) embedded in a homogeneous medium is studied. Physical properties of the particles are described by their boundary impedances. The limiting equation is obtained for…

Mathematical Physics · Physics 2011-01-18 A. G. Ramm

Scattering of electromagnetic (EM) waves by many small particles (bodies), embedded in a thin layer, is studied. Physical properties of the particles are described by their boundary impedances. The thin layer of depth of the order $O(a)$…

Mathematical Physics · Physics 2011-01-25 A. G. Ramm

A formula for the electromagnetic (EM) field in the medium, in which many small perfectly conducting particles of an arbitrary shape are distributed, is derived.

Mathematical Physics · Physics 2015-06-18 Alexander G. Ramm

Electromagnetic properties of quark-like particles are examined in a classical field model involving extended dual electromagnetic fields. These can have fractional charges and a confining potential that derives essentially completely from…

Mathematical Physics · Physics 2011-01-27 Harry Schiff

This simple analysis shows that photon-like particles are not strange within the conceptual framework of the classical electromagnetic field theory. Circular polarized waves lead to photons. Thus, light quantum hypothesis is not necessary.

Classical Physics · Physics 2007-05-23 Srecko Botric , Krunoslav Ljolje

Accelerating a free electron to high energy forms the basis for studying particle and nuclear physics. Here it is shown that wavefunction of such an energetic electron can be further manipulated with femtosecond intense lasers. During the…

A special non-linear equation of curvilinear electromagnetic wave is presented. The particularity of this equation lies in the fact that in matrix form it is mathematically equivalent to the Dirac electron equation. It is shown that the…

Mathematical Physics · Physics 2007-05-23 Alexander G. Kyriakos

We combine Maxwell's equations with Eulers's equation, related to a velocity field of an immaterial fluid, where the density of mass is replaced by a charge density. We come out with a differential system able to describe a relevant…

General Physics · Physics 2009-11-26 Daniele Funaro

Postulating that spacetime is discrete, we assume that physical space is described by a 3-dimensional cubic lattice.The corresponding symmetry group of rotations has order 24 and motivates the introduction of a cubic shaped graph with 27…

General Physics · Physics 2017-08-01 Stan Gudder

The present paper is based upon ideas and results obtained in an earlier paper by the author devoted to a new formulation of quantum electrodynamics. The equations derived in that paper depict the structure and properties of the electron as…

General Physics · Physics 2017-05-08 V. A. Golovko

We demonstrate that the electromagnetic fields scattered by particles made of different materials can be equalized. Emphasize is placed first in metallic nanoparticles that host localized surface plasmons and it is shown that their…

Accelerated charges emit both electromagnetic and gravitational radiation. Classically, it was found that the electromagnetic energy spectrum radiated by an electron in a monochromatic plane wave is proportional to the corresponding…

High Energy Physics - Phenomenology · Physics 2022-10-21 G. Audagnotto , C. H. Keitel , A. Di Piazza

In this work, we study the electromagnetic energy and energy rate spectra produced by a point particle in the presence of plane wave fields. Our approach is based on a semiclassical formulation, in which the current distribution that…

Quantum Physics · Physics 2025-07-29 T. C. Adorno , A. J. D. Farias Junior , D. M. Gitman

The interaction between freely propagating electrons and light waves is typically described using an approximation in which we assume that the electron velocity remains approximately the same during the interaction. In this article we…

Quantum Physics · Physics 2025-03-06 Marek Kuchař , Kamila Moriová , Martin Kozák

The scattering of electromagnetic waves by an obstacle is analyzed through a set of partial differential equations combining the Maxwell's model with the mechanics of fluids. Solitary type EM waves, having compact support, may easily be…

Computational Physics · Physics 2018-03-28 Daniele Funaro , Eugene Kashdan
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