Electromagnetic energy of electric and magnetic dipoles

2013 ◽  
Vol 91 (7) ◽  
pp. 576-581 ◽  
Author(s):  
A.L. Kholmetskii ◽  
O.V. Missevitch ◽  
T. Yarman
Keyword(s):  
Electromagnetic Field ◽  
Magnetic Dipole ◽  
Electric Dipole ◽  
Dipole Moments ◽  
External Electromagnetic Field ◽  
Laboratory Frame ◽  
Relativistic Energy ◽  
Relativistic Case ◽  
Magnetic Dipoles ◽  
Relativistic Dependence

We derive a novel expression for the relativistic energy of electric and magnetic dipoles in an external electromagnetic field and discuss its implications. In particular, we find the relativistic dependence of the energy of a dipole on its velocity, v, and show that in the most convenient presentation of the energy (when the proper electric (p0) and magnetic (m0) dipole moments are involved, whereas the electric (E) and magnetic (B) fields are defined in the laboratory frame), its value essentially depends on the orientation of the velocity, v, with respect to vectors p0, E, and m0, B. To better understand the relativistic behavior of the energy of electric and magnetic dipoles, we introduce the notion of “latent” momentum of an electric dipole, in addition to the known concept of “hidden” momentum of a magnetic dipole. We finally show that the contribution of energy terms related to “hidden” and “latent” momenta of an electric or magnetic dipole is important in the relativistic case.

Photomagnetic disintegration and magnetic moment of the deuteron in the meson theory

1940 ◽  
Vol 36 (3) ◽  
pp. 351-362 ◽  
Author(s):  
S. T. Ma
Keyword(s):  
Electromagnetic Field ◽  
Magnetic Dipole ◽  
Cross Section ◽  
Magnetic Moment ◽  
Dipole Moments ◽  
External Electromagnetic Field ◽  
Nuclear System ◽  
Multipole Moments ◽  
Early Stages ◽  
Meson Theory

The interaction between an external electromagnetic field and a nuclear system can be expressed in terms of the multipole moments. The electric quadripole and the magnetic dipole moments of the deuteron have been calculated, taking into account the exchange forces as given by the meson theory. The cross-section of the photomagnetic effect of the deuteron has been calculated.This work was carried out under the guidance of Dr Heitler and Dr Fröhlich. The writer wishes to express his sincerest thanks to them for suggesting the problem and many valuable comments. The writer is also indebted to Dr Kahn for discussions during the early stages of this work.

scholarly journals Lorentz transformation of a charge-current density and “relativistic polarization” of a moving current loop

2020 ◽  
Vol 35 (23) ◽  
pp. 2050135
Author(s):  
Alexander Kholmetskii ◽  
Oleg Missevitch ◽  
Tolga Yarman
Keyword(s):  
Electromagnetic Field ◽  
Dipole Moment ◽  
Electric Dipole ◽  
Physical Meaning ◽  
Classical Electrodynamics ◽  
Current Loop ◽  
Lorentz Transformations ◽  
Covariant Formulation ◽  
Magnetic Dipoles ◽  
A Charge

We show that the claim by Franklin (Int. J. Mod. Phys. A 35, 2050061 (2020)) with respect to the vanishing charge distribution over the perimeter of an electrically neutral moving current loop is erroneous and is based on a misinterpretation of physical meaning of Lorentz transformations. Moreover, we show that the development of nonvanishing electric dipole moment by a moving current loop (which we named as “relativistic polarization”) represents a direct implication of covariant formulation of classical electrodynamics of material media. In this respect, we analyze some subtle effects related to the motion of magnetic dipoles in an electromagnetic field and disclose their physical meaning.

Geometric phases modified by a Lorentz-symmetry violation background

2015 ◽  
Vol 30 (14) ◽  
pp. 1550072 ◽  
Author(s):  
L. R. Ribeiro ◽  
E. Passos ◽  
C. Furtado ◽  
J. R. Nascimento
Keyword(s):  
Electromagnetic Field ◽  
Geometric Phase ◽  
Quantum Dynamics ◽  
Dipole Moments ◽  
External Electromagnetic Field ◽  
Lorentz Symmetry ◽  
Nonrelativistic Quantum ◽  
Symmetry Violation ◽  
Electric Dipole Moments ◽  
Geometric Phases

We analyze the nonrelativistic quantum dynamics of a single neutral spin-half particle, with nonzero magnetic and electric dipole moments, moving in an external electromagnetic field in the presence of a Lorentz-symmetry violating background. We also study the geometric phase for this model taking in account the influence of the parameter that breaks the Lorentz-symmetry. These geometric phases are used to impose an upper bound on the background magnitude.

SCATTERING FROM A HALF-LOOP ON AN INFINITE PERFECTLY CONDUCTING PLANE

1967 ◽  
Vol 45 (10) ◽  
pp. 3347-3355
Author(s):  
M. A. Plonus
Keyword(s):  
Magnetic Dipole ◽  
Incident Wave ◽  
Electric Dipole ◽  
Scattered Field ◽  
Dipole Moments ◽  
Image Theory ◽  
Conducting Plane ◽  
Wire Loop ◽  
Half Loop

Scattering from a small wire loop is derived using expressions of V. H. Weston. It is shown that the scattered field can be identified with two dipole-type scatterers, an electric and a magnetic dipole. Using image theory, scattering from a half-loop on a conducting plane is obtained. The scattered field consists of contributions of an electric dipole normal to the plane and a magnetic dipole normal to the plane of the half-loop. The equivalent scattering dipole moments are expressed in terms of the loop geometry and the orientation and polarization of the incident wave.

scholarly journals Impedance Operator Description of a Metasurface with Electric and Magnetic Dipoles

2015 ◽  
Vol 2015 ◽  
pp. 1-5 ◽  
Author(s):  
Didier Felbacq
Keyword(s):  
Magnetic Dipole ◽  
Electric Dipole ◽  
Magnetic Dipoles ◽  
Effective Description ◽  
Impedance Operator

A metasurface made of a collection of nanoresonators characterized by an electric dipole and a magnetic dipole was studied in the regime where the wavelength is large with respect to the size of the resonators. An effective description in terms of an impedance operator was derived.

scholarly journals An Electromagnetic Cloaking Scheme Using Magnetic Dipole Based Scattering Cancellation

2021 ◽  
Author(s):  
Sarin VP ◽  
Vinesh PV ◽  
Manoj M ◽  
Mohanan P ◽  
Vasudevan K
Keyword(s):  
Magnetic Dipole ◽  
Dipole Moments ◽  
Simulation Software ◽  
Ring Resonators ◽  
Split Ring ◽  
Magnetic Dipoles ◽  
Scattered Power ◽  
Dipole Excitation ◽  
Full Wave ◽  
Cylindrical Metal

Abstract This paper explores the possibility of creating a cylindrical electromagnetic cloaking scheme using resonant magnetic dipole excitation. Split-ring resonators are arranged around the cylindrical metal target to generate strong subwavelength resonant magnetic dipole moments to cancel far-field scattered power from the target. We used the multipole scattering theory to identify the actual reason behind scattering cancellation. The scattering from resonant circulating magnetic dipoles interferes destructively with that from the non-resonant electric dipole moments of the target resulting in a significant reduction in the Scattering Cross Section. The results are verified using full-wave simulation software and subsequently validated with backscattering measurements inside an anechoic chamber.

Forbidden transitions in molecular vibrational-rotational spectroscopy

1989 ◽  
Vol 54 (10) ◽  
pp. 2555-2630 ◽  
Author(s):  
Dušan Papoušek
Keyword(s):  
Magnetic Dipole ◽  
Electric Dipole ◽  
Dipole Moments ◽  
Physical Nature ◽  
Electric Quadrupole ◽  
Rotational Spectroscopy ◽  
Quadrupole Moments ◽  
Electric Dipole Moments ◽  
Selection Rules ◽  
Rotational States

A review is given of the forbidden ( more precisely: perturbation allowed) transistions between molecular vibrational-rotational states including transistions which are induced by the electric dipole and quadrupole moments and the magnetic dipole moment. The basic theory of these transistions is outlined starting with the overall symmetry selection rules, followed by the discussion of the spin statistics isomers, approximate selection rules for the usual vibrational-rotational transistions, and forbidden transistions induced by the electric quadrupole and magnetic dipole moments. Forbidden transistions due to the vibrationally and rotationally induced electric dipole moments are the discussed in detail for symmetric top and spherical top molecules with the emphasis on the physical nature of the various phenomena leading to these transistions. A summary is also given of the most important experimental work on the forbidden transistions in diatomic molecules and polar as well as nonpolar polyatomics.

Hydromagnetic radiation from electric and magnetic dipoles in the magnetosphere

1969 ◽  
Vol 47 (16) ◽  
pp. 1643-1656 ◽  
Author(s):  
A. K. Sundaram
Keyword(s):  
Magnetic Field ◽  
Magnetic Dipole ◽  
Electric Dipole ◽  
Static Field ◽  
Radiation Characteristics ◽  
Magnetostatic Field ◽  
Magnetic Dipoles ◽  
The Waves ◽  
Dipole Sources ◽  
The Magnetic Field

This paper deals with the radiation characteristics of elementary electric and magnetic dipoles in a homogeneous, anisotropic, cold plasma of infinite extent with a uniform magnetostatic field. The cases treated include the electromagnetic sources taken parallel and perpendicular to the magnetostatic field. In all cases expressions for the field components are obtained which are valid at frequencies well below the ion cyclotron frequency. It is found that electric and magnetic dipole sources when oriented perpendicular to the magnetic field excite both ordinary and extraordinary modes. For the ordinary mode, the waves are guided in both directions within cones of small apex angle aligned with the static field. When the dipole sources are aligned with the magnetic field, it is found that the electric dipole excites only the ordinary mode leading to guided wave propagation, while the magnetic dipole excites only the extraordinary mode. In all cases the waves propagate at Alfvén speed. The radiation characteristics are isotropic for the extraordinary mode excited by the perpendicular electric dipole and are nearly isotropic for the aligned magnetic dipole. For other cases the radiated power is concentrated in opposite directions along the static field.

scholarly journals Quality factor assessment of finite-size all-dielectric metasurfaces at the magnetic dipole resonance

2018 ◽  
Vol 8 ◽  
pp. 184798041882016
Author(s):  
Larry K Warne ◽  
Roy E Jorgenson ◽  
Salvatore Campione
Keyword(s):  
Finite Number ◽  
Quality Factor ◽  
Magnetic Dipole ◽  
Dipole Moments ◽  
Finite Size ◽  
Design Guidelines ◽  
Quality Factors ◽  
Magnetic Dipoles ◽  
Dipole Resonance ◽  
Oriented Parallel

Recently there has been a large interest in achieving metasurface resonances with large quality factors. In this article, we examine metasurfaces that comprised a finite number of magnetic dipoles oriented parallel or orthogonal to the plane of the metasurface and determine analytic formulas for their resonances’ quality factors. These conditions are experimentally achievable in finite-size metasurfaces made of dielectric cubic resonators at the magnetic dipole resonance. Our results show that finite metasurfaces made of parallel (to the plane) magnetic dipoles exhibit low quality factor resonances with a quality factor that is independent of the number of resonators. More importantly, finite metasurfaces made of orthogonal (to the plane) magnetic dipoles lead to resonances with large quality factors, which ultimately depend on the number of resonators comprising the metasurface. In particular, by properly modulating the array of dipole moments by having a distribution of resonator polarizabilities, one can potentially increase the quality factor of metasurface resonances even further. These results provide design guidelines to achieve a sought quality factor applicable to any resonator geometry for the development of new devices such as photodetectors, modulators, and sensors.

scholarly journals Transverse Kerker Effect in All-Dielectric Spheroidal Particles

2021 ◽  
Author(s):  
Mikhail M. Bukharin ◽  
Vladimir Ya. Pecherkin ◽  
Anar K. Ospanova ◽  
Vladimir B. Il’in ◽  
Leonid M. Vasilyak ◽  
...  
Keyword(s):  
Radiation Pattern ◽  
Magnetic Dipole ◽  
Electric Dipole ◽  
Dipole Moments ◽  
High Index ◽  
Proof Of Concept ◽  
Spheroidal Particle ◽  
Lateral Direction ◽  
Dielectric Particles ◽  
Magnetic Quadrupole

Abstract Kerker effect is one of the unique phenomena in modern electrodynamics. Due to overlapping of electric and magnetic dipole moments, all-dielectric particles can be invisible in forward or backward directions. In our paper we propose new conditions between resonantly excited electric dipole and magnetic quadrupole in ceramic high index spheroidal particle for demonstrating transverse Kerker effect. Moreover, we perform proof-of-concept microwave experiment and demonstrate dumbbell radiation pattern with suppressed scattering in both forward and backward direction and enhanced scattering in lateral direction. Our concept is promising for future planar lasers, nonreflected metasurface and laterally excited waveguides and nanoantennas.

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