Electromagnetic fields in the presence of rotating bodies

Bladel, J. Van

doi:10.1109/proc.1976.10111

Cited by 172 publications

(58 citation statements)

References 21 publications

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“…If the rotating object is not translationally symmetric in the z direction (while rotationally symmetric), the scattering matrix is no longer diagonal in k z , leading to a more complicated analog of Eq. (63). Nevertheless, the S matrix can always be diagonalized in some basis.…”

Section: Higher Dimensions Nonscalar Field Theories and Trace Fomentioning

confidence: 99%

Nonequilibrium quantum fluctuations of a dispersive medium: Spontaneous emission, photon statistics, entropy generation, and stochastic motion

2014

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We study the implications of quantum fluctuations of a dispersive medium, under steady rotation, either in or out of thermal equilibrium with its environment. A rotating object exhibits a quantum instability by dissipating its mechanical motion via spontaneous emission of photons, as well as internal heat generation. Universal relations are derived for the radiated energy and angular momentum as trace formulas involving the object's scattering matrix. We also compute the quantum noise by deriving the full statistics of the radiated photons out of thermal and/or dynamic equilibrium. The (entanglement) entropy generation is quantified and the total entropy is shown to be always increasing. Furthermore, we derive a Fokker-Planck equation governing the stochastic angular motion resulting from the fluctuating backreaction frictional torque. As a result, we find a quantum limit on the uncertainty of the object's angular velocity in steady rotation. Finally, we show in some detail that a rotating object drags nearby objects, making them spin parallel to its axis of rotation. A scalar toy model is introduced to simplify the technicalities and ease the conceptual complexities and then a detailed discussion of quantum electrodynamics is presented.

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Section: Higher Dimensions Nonscalar Field Theories and Trace Fomentioning

confidence: 99%

Nonequilibrium quantum fluctuations of a dispersive medium: Spontaneous emission, photon statistics, entropy generation, and stochastic motion

2014

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“…In the present paper we show that the new time-derivative is essentially the time-component of the contra-variant derivative of a vector in the metric space defined by Eq. (36). It is logical to argue that general relativistic formalism is necessary to resolve the controversial issues; not only this perhaps the advances in rotating light experiments may throw light on some outstanding problems in the electromagnetism of rotating media (Sec.VI); an interesting and controversial problem is that of the scattering of radiation from a rotating cylinder discussed by Hillion [38].…”

Section: Discussionmentioning

confidence: 99%

“…A consistent application of the covariant formalism to the field equations sheds light on the constitutive relations in the rotating media, and as argued in [36] offers a satisfactory resolution of the Schiff paradox [40]. However there do exist subtle issues [41].…”

Section: Electromagnetic Fields In Noninertial Systemsmentioning

confidence: 98%

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Rotating light, the orbital angular momentum paradox and relativistic complex scalar fields

Tiwari¹

2009

J. Opt. A: Pure Appl. Opt.

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Recent studies show that the angular momentum, both spin and orbital, of rotating light beams possesses counter-intuitive characteristics. We present a new approach to the question of orbital angular momentum of light based on the complex massless scalar field representation of light. The covariant equation for the scalar field is treated in rotating system using the general relativistic framework. First we show the equivalence of the U(1) gauge current for the scalar field with the Poynting vector continuity equation for paraxial light, and then apply the formalism to the calculation of the orbital angular momentum of rotating light beams. If the difference between the co-, contra-, and physical quantities is properly accounted for there does not result any paradox in the orbital angular momentum of rotating light. An artificial analogue of the paradoxical situation could be constructed but it is wrong within the present formalism. It is shown that the orbital angular momentum of rotating beam comprising of modes with opposite azimuthal indices corresponds to that of rigid rotation. A short review on the electromagnetism in noninertial systems is presented to motivate a fully covariant Maxwell field approach in rotating system to address the rotating light phenomenon. PACS numbers:1

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“…During the same decade, the analytical studies of EM scattering by rotating bodies were published by Van Bladel [19,20]. However, numerically simulating the EM problems with rotating objects has been a dilemma when grid cells suffer from unrecoverable distortion.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Scattered Em Fields From Rotating Cylinder Using Passing Center Swing Back Grids Technique in Two Dimensions

Ho¹

2009

PIER

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Abstract-In this paper, a new numerical technique, passing center swing back grids (PCSBG's) for the resolution of the grid distortion difficulty due to the rotational motion of objects is introduced. This proposed swing-back-grids approach alongside of the method of characteristics (MOC) is developed to solve EM scattering problems featured with rotating objects. The feasibility of such combination is apparent from the fact that MOC defines all field quantities in the centroid of the grid cell. The scattered EM fields from a rotating circular cylinder under the excitation of an EM pulse are predicted in two dimensions and the electric field distributions recorded at several time instances are demonstrated. In order to confirm that the cylinder is rotating and scattering EM fields simultaneously, the circular cylinder is uniformly divided into an even number of slices with one perfect reflector and one non-reflector alternatively since a rotating circular cylinder causes no relativistic effects.

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Electromagnetic fields in the presence of rotating bodies

Cited by 172 publications

References 21 publications

Nonequilibrium quantum fluctuations of a dispersive medium: Spontaneous emission, photon statistics, entropy generation, and stochastic motion

Nonequilibrium quantum fluctuations of a dispersive medium: Spontaneous emission, photon statistics, entropy generation, and stochastic motion

Rotating light, the orbital angular momentum paradox and relativistic complex scalar fields

Simulation of Scattered Em Fields From Rotating Cylinder Using Passing Center Swing Back Grids Technique in Two Dimensions

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