Electromagnetic momentum balance equation and the force density in material media

Campos, Irma Manrique; Jiménez, J. L.; López-Mariño, M. A.

doi:10.1590/s1806-11172012000200006

Cited by 8 publications

(17 citation statements)

References 6 publications

(10 reference statements)

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“…Therefore the equations of balance for either energy or momentum or angular momentum require a logical derivation from the macroscopic Maxwell equations. In the present work we generalize previously obtained balance equations for electromagnetic lineal momentum [12] [13] to balance equations for electromagnetic angular momentum. This means that an insightful reflection on the conceptual structure of classical field theory is necessary to attack these conceptual problems.…”

Section: Introductionmentioning

confidence: 81%

“…We find then a need to derive carefully balance equations of angular momentum of radiation directly from the macroscopic Maxwell equations, as we have done for the linear momentum of radiation [12] [13]. We hope in this way to establish a unified and general view of the balance of electromagnetic angular momentum that permits us to asses torques that have been proposed by some authors.…”

Section: Introductionmentioning

confidence: 87%

“…We have shown in past works [12] [15], and the torque which Mansuripur [10] interpreted as an inconsistency between the Lorentz force and the principle of relativity.…”

Section: Some Considerations About Several Balance Equations Derived mentioning

confidence: 94%

“…are force densities; L f is a force density analogous to that of Lorentz, which involves charge and current densities, and δ f is a force involving only fields [12] [13].…”

Section: Balance Equations Of Angular Momentummentioning

confidence: 99%

“…The balance equation for electromagnetic momentum, however, is usually derived from the Lorentz force law [11] which implies only an external electromagnetic field. A derivation without this assumption can be found in reference [12]. The momentum balance is usually obtained from Lorentz's force density by substitution of the charge and current densities from the Maxwell equations.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Balance Equations of Electromagnetic Angular Momentum

Campos-Flores¹,

Jiménez-Ramírez²,

Roa-Neri³

2017

JEMAA

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We give theoretical foundation to torque densities proposed in the past, like the one used by Beth to study experimentally the action of circularly polarized radiation on a birefringent material, or that proposed by Mansuripur to resolve a seeming paradox concerning the Lorentz force law and relativity. Our results provide new insights into electromagnetic theory, since they provide a unified and general treatment of the balance of lineal and angular momentum that permits a better assessment of some torques. Thus in this work we extend the derivations we have made of balance equations for electromagnetic linear momentum to balance equations for electromagnetic angular momentum. These balance equations are derived from the macroscopic Maxwell equations by means of vector and tensor identities and from the different ways in which these equations are written in terms of fields E, D, B, and H, as well as polarizations P, and M. Therefore these balance equations are as sound as the macroscopic Maxwell equations, with the limitations of the constitutive relations.

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Section: Introductionmentioning

confidence: 81%

Section: Introductionmentioning

confidence: 87%

“…We have shown in past works [12] [15], and the torque which Mansuripur [10] interpreted as an inconsistency between the Lorentz force and the principle of relativity.…”

Section: Some Considerations About Several Balance Equations Derived mentioning

confidence: 94%

“…are force densities; L f is a force density analogous to that of Lorentz, which involves charge and current densities, and δ f is a force involving only fields [12] [13].…”

Section: Balance Equations Of Angular Momentummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Balance Equations of Electromagnetic Angular Momentum

Campos-Flores¹,

Jiménez-Ramírez²,

Roa-Neri³

2017

JEMAA

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Radiation force and balance of electromagnetic momentum

2016

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Some force densities can be expressed as a divergence of a stress tensor, as is the case with the electromagnetic force density. We have shown elsewhere that from the Maxwell equations several balance equations of electromagnetic momentum can be derived, depending on the form these equations are expressed in terms of fields E, D, B, H, and polarisations P and M. These balance equations imply different force densities and different stress tensors, providing a great flexibility to solve particular problems. Among these force densities we have found some proposed in the past with plausibility arguments, like the Einstein–Laub force density, while other proposed force densities appear as particular or limit cases of these general force densities, like the Helmholtz force density. We calculate the radiation force of an electromagnetic wave incident on a semi-infinite negligibly absorbing material using these balance equations, corroborating in this way that the surface integration of the stress tensor gives the same result that the calculation made through a volume integration of the force density, as done by Bohren. As is usual in applications of Gauss’s theorem, the surface on which the surface integral is to be performed must be chosen judiciously, and due care of discontinuities on the boundary conditions must be taken. Advanced undergraduates and graduate students will find a different approach to new aspects of the interaction of radiation with matter.

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La ecuación de balance de momento electromagnético y la densidad de fuerza para sólidos

Valencia

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Electromagnetic momentum balance equation and the force density in material media

Cited by 8 publications

References 6 publications

Balance Equations of Electromagnetic Angular Momentum

Balance Equations of Electromagnetic Angular Momentum

Radiation force and balance of electromagnetic momentum

La ecuación de balance de momento electromagnético y la densidad de fuerza para sólidos

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