Multipole radiation fields from the Jefimenko equation for the magnetic field and the Panofsky-Phillips equation for the electric field

Souza, Reinaldo de Melo e; Cougo-Pinto, M. V.; Farina, C.; Moriconi, Marco

doi:10.1119/1.2990666

Cited by 10 publications

(19 citation statements)

References 12 publications

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“…We add −(1/c 2 )∂ 2 J 1 /∂t 2 to both sides of equation (25) and obtain equation (22). The remaining equations (21) and (23) are obtained by applying the dual changes displayed in equation (19) to equations (20) and (22).…”

Section: A Theorem That Leads To Maxwell's Equationsmentioning

confidence: 99%

An axiomatic approach to Maxwell’s equations

Heras¹

2016

Eur. J. Phys.

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Abstract. This paper suggests an axiomatic approach to Maxwell's equations. The basis of this approach is a theorem formulated for two sets of functions localized in space and time. If each set satisfies a continuity equation then the theorem provides an integral representation for each function. A corollary of this theorem yields Maxwell's equations with magnetic monopoles. It is pointed out that the causality principle and the conservation of electric and magnetic charges are the most fundamental physical axioms underlying these equations. Another application of the corollary yields Maxwell's equations in material media. The theorem is also formulated in the Minkowski space-time and applied to obtain the covariant form of Maxwell's equations with magnetic monopoles and the covariant form of Maxwell's equations in material media. The approach makes use of the infinite-space Green function of the wave equation and is therefore suitable for an advanced course in electrodynamics.

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Section: A Theorem That Leads To Maxwell's Equationsmentioning

confidence: 99%

An axiomatic approach to Maxwell’s equations

Heras¹

2016

Eur. J. Phys.

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“…The diameter of the central silica gel strip is D , which is a structural constant, and the angle between the wire and the vertical direction is θ . Assuming that there exists a point P at the middle of B 0 and A R1 , based on the Biot–Savart law [31,32], the electric field strength E shown in Figure 3b along the x -axis direction at point P for a finite wire B0B0′ with uniform current density is expressed as EB0B0′=2true∫0Lpη4πε⋅x(x2+y2)3/2dy=η2πε⋅Lpxx2+LP2 where the ε is relative permittivity and the L p is the length of the wire B0B0′ and Lp=trueD2cosθ. The x is the distance from point P to origin O.…”

Section: Distributed Parameters and Characteristic Impedance Of Phscmentioning

confidence: 99%

Using a Parallel Helical Sensing Cable for the Distributed Measurement of Ground Deformation

Tong

Wang

et al. 2019

Sensors

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Surface and underground stretched deformation is one of the most important physical measurement quantities for geological-disaster monitoring. In this study, a parallel helical sensing cable (PHSC) based on the time–domain reflectometry (TDR) technique is proposed and used to monitor large ground stretched deformation. First, the PHSC structure and manufacturing process are introduced, and then, distributed capacitance, distributed inductance, and characteristic impedance were derived based on the proposed stretched-structure model. Next, the relationship between characteristic impedance and stretched deformation was found, and the principle of distributed deformation measurement based on the TDR technique and PHSC characteristic impedance was analyzed in detail. The function of the stretched deformation and characteristic impedance was obtained by curve fitting based on the theoretically calculated results. A laboratory calibration test was carried out by the designed tensile test platform. The results of multi-point positioning and the amount of stretched deformation are presented by the tensile test platform, multi-point positioning measurement absolute errors were less than 0.01 m, and the amount of stretched deformation measurement absolute errors were less than 3 mm, respectively. The measured results are in good agreement with the theoretically calculated results, which verify the correctness of theoretical derivation and show that a PHSC is very suitable for the distributed measurement of the ground stretched deformation.

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“…This comment does not intend only to criticize Ref. 1 which, generally, contains correct results, but to make the interested reader aware of a certain type of problems around existing results and on the fact that they are still open to new theoretical and pedagogical contributions.…”

mentioning

confidence: 99%

Why Jefimenko equations ? (A comment on "Multipole radiation fields from the Jefimenko equation...", by R. de Melo e Souza et al, Am. J. Phys. 77 (1), 67-72 (2009), arXiv:0812.4679)

Vrejoiu,

Zus

2009

Preprint

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Multipole radiation fields from the Jefimenko equation for the magnetic field and the Panofsky-Phillips equation for the electric field

Cited by 10 publications

References 12 publications

An axiomatic approach to Maxwell’s equations

An axiomatic approach to Maxwell’s equations

Using a Parallel Helical Sensing Cable for the Distributed Measurement of Ground Deformation

Why Jefimenko equations ? (A comment on "Multipole radiation fields from the Jefimenko equation...", by R. de Melo e Souza et al, Am. J. Phys. 77 (1), 67-72 (2009), arXiv:0812.4679)

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