Scattering by cylinders in translational motion

Zutter, D. De; Bladel, J. Van

doi:10.1049/ij-moa.1977.0025

Cited by 19 publications

(6 citation statements)

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“…Because the transformation M is supposed to be universal and, hence, independent of the coordinates of the point at which ( 13) is written. Therefore the operation M e taking place in (13) does not change the location of the branch point dictated by (11a)- (12). Hence, the operation L appearing in (13) has to transform…”

Section: Four-dimensional Space-time Of Einsteinmentioning

confidence: 99%

“…Thus, from one side it permitted him to re-establish the Mechanics, and, from the other side to reveal the rule which interrelates the expressions of the electromagnetic field in different inertial systems. Today it is extensively used to obtain the explicit expressions of solutions to complicated electromagnetic problems, connected with moving bodies, starting from their corresponding expressions supposed to be known in appropriate (rest) systems (see for example [7][8][9][10][11][12][13][14][15][16][17][18]). So, it is unavoidable in contemporary electrical engineering curriculum (see for example [19]).…”

Section: Introductionmentioning

confidence: 99%

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Derivation of the Lorentz Transformation from the Maxwell Equations

Idemen¹

2005

Journal of Electromagnetic Waves and Applications

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The Special Theory of Relativity had been established nearly one century ago to conciliate some seemingly contradictory concepts and experimental results such as the Ether, universal time, contraction of dimensions of moving bodies, absolute motion of the Earth, speed of the light, etc. Hence the fundamental revolutionary formulas of the Theory, i.e., the Lorentz Formulas, had been derived first by Einstein by dwelling on a postulate which stipulated the constancy of the speed of the light. To this end he had first postulated that every reference system has a time proper to itself and then redefined the notions of simultaneity, synchronous clocks, time interval, the length of a rod in a system at rest, the length in a moving system, etc. A second postulate of Einstein, which stated that every physical theory is invariant under the Lorentz transformation, enabled him to claim that the Theory of Electromagnetism is correct but the Newtonian Mechanics has to be re-established. Since then the Theory was almost always presented in this way by both Einstein and others except only a few. The aim of this paper is to show that the Lorentz formulas can be derived from the Maxwell equations if one pstulates that the total electric charge of an isolated body does not change if it is in motion. To this end one dwells only on the permanence principle of functional equations, which is not a physical but purely mathematical concept. Thus, from one side the Special Relativity becomes a natural issue (or a part) of the Maxwell Theory and, from the other side, the derivation of the transformation rules pertinent to the electromagnetic field becomes straightforward and easy.

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Section: Four-dimensional Space-time Of Einsteinmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Derivation of the Lorentz Transformation from the Maxwell Equations

Idemen¹

2005

Journal of Electromagnetic Waves and Applications

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“…Since Einstein first investigated electromagnetic scattering by a moving mirror [14][15], researchers have computed the electromagnetic fields scattered by uniformly translating objects [16][17][18][19][20][21][22]. Most of this research has been focused on the scattering of plane waves.…”

Section: Introductionmentioning

confidence: 99%

Lorentz invariance of absorption and extinction cross sections of a uniformly moving object

Garner

Lakhtakia²,

Breakall³

et al. 2017

Phys. Rev. A

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The energy absorption and energy extinction cross sections of an object in uniform translational motion in free space are Lorentz invariant, but the total energy scattering cross section is not.Indeed, the forward-scattering theorem holds true for co-moving observers but not for other inertial observers. If a pulsed plane wave with finite energy density is incident upon an object, the energies scattered, absorbed, and removed from the incident signal by the object are finite. The difference between the energy extinction cross section and the sum of the total energy scattering and energy absorption cross sections for a non-co-moving inertial observer can be either negative or positive, depending on the object's velocity, shape, size, and composition. Calculations for a uniformly translating, solid, homogeneous sphere show that all three cross sections go to zero as the sphere recedes directly from the source of the incident signal at speeds approaching c, whether the material is a plasmonic metal (e.g., silver) or simply a dissipative dielectric material (e.g., silicon carbide). * tjg236@psu.edu 1 arXiv:1710.03859v1 [physics.optics]

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“…So, in the open literature, there are many interesting works devoted to the case of uniformly moving scatterers. Among them one can enumerate, for example those which concern moving half-spaces or planes [1][2][3][4][5], cylinders [5][6][7][8][9][10], strips [11,12], wedges [13][14][15], half-planes and edges [16] and bodies of arbitrary shapes [5,[17][18][19][20][21][22][23][24]. A recent analysis performed in [16], which considers the scattering of a plane wave by a uniformly moving half-plane reveals the effect of the motion on the reflection, refraction, aberration, frequency shift, etc.…”

Section: Introductionmentioning

confidence: 99%

Influence of Motion on the Edge-Diffraction

Idemen¹,

Alkumru²

2008

PIER B

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Abstract-The aim of the present paper is to reveal the effect of motion on the scattering by an edge. To this end one considers a canonical structure formed by a perfectly conducting half-plane illuminated by a time-harmonic and uniformly moving infinitely long line source. The relevant line source is located parallel to the edge and moves with a constant velocity which is also parallel to the half-plane. This is the dual of a previously studied problem in which the halfplane was moving uniformly. The present problem is first reduced into a Wiener-Hopf problem in the sense of distribution and then solved by an ad-hoc method. The edge-diffracted field is discussed in detail.

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Scattering by cylinders in translational motion

Cited by 19 publications

References 0 publications

Derivation of the Lorentz Transformation from the Maxwell Equations

Derivation of the Lorentz Transformation from the Maxwell Equations

Lorentz invariance of absorption and extinction cross sections of a uniformly moving object

Influence of Motion on the Edge-Diffraction

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