Correlation Theory of Quantized Electromagnetic Fields. I. Dynamical Equations and Conservation Laws

1967 ◽  
Vol 157 (5) ◽  
pp. 1183-1187 ◽  
Author(s):  
C. L. Mehta ◽  
E. Wolf
Keyword(s):  
Conservation Laws ◽  
Electromagnetic Fields ◽  
Dynamical Equations ◽  
Correlation Theory

scholarly journals Dynamics of Electromagnetic Fields and Structure of Regular Rotating Electrically Charged Black Holes and Solitons in Nonlinear Electrodynamics Minimally Coupled to Gravity

Universe ◽  
2019 ◽  
Vol 5 (10) ◽  
pp. 205 ◽  
Author(s):  
Irina Dymnikova ◽  
Evgeny Galaktionov
Keyword(s):  
Black Holes ◽  
Electromagnetic Fields ◽  
Nonlinear Electrodynamics ◽  
Axially Symmetric ◽  
De Sitter ◽  
Dynamical Equations ◽  
Naked Singularities ◽  
Charged Black Holes ◽  
De Sitter Vacuum ◽  
Electrically Charged

We study the dynamics of electromagnetic fields of regular rotating electrically charged black holes and solitons replacing naked singularities in nonlinear electrodynamics minimally coupled to gravity (NED-GR). They are related by electromagnetic and gravitational interactions and described by the axially symmetric NED-GR solutions asymptotically Kerr-Newman for a distant observer. Geometry is described by the metrics of the Kerr-Schild class specified by T t t = T r r ( p r = − ρ ) in the co-rotating frame. All regular axially symmetric solutions obtained from spherical solutions with the Newman-Janis algorithm belong to this class. The basic generic feature of all regular objects of this class, both electrically charged and electrically neutral, is the existence of two kinds of de Sitter vacuum interiors. We analyze the regular solutions to dynamical equations for electromagnetic fields and show which kind of a regular interior is favored by electromagnetic dynamics for NED-GR objects.

Correlation theory of stationary electromagnetic fields

1960 ◽  
Vol 17 (4) ◽  
pp. 477-490 ◽  
Author(s):  
P. Roman ◽  
E. Wolf
Keyword(s):  
Electromagnetic Fields ◽  
Correlation Theory

Correlation theory of stationary electromagnetic fields

1960 ◽  
Vol 17 (4) ◽  
pp. 462-476 ◽  
Author(s):  
P. Roman ◽  
E. Wolf
Keyword(s):  
Electromagnetic Fields ◽  
Correlation Theory

scholarly journals Effective Electrodynamics Theory for the Hyperbolic Metamaterial Consisting of Metal–Dielectric Layers

Crystals ◽  
2020 ◽  
Vol 10 (10) ◽  
pp. 863
Author(s):  
Pi-Gang Luan
Keyword(s):  
Energy Density ◽  
Electromagnetic Fields ◽  
Lagrangian Density ◽  
Effective Medium ◽  
Polarization Field ◽  
Lagrangian Description ◽  
Dynamical Equations ◽  
Hamiltonian Density ◽  
Hyperbolic Metamaterial ◽  
Dielectric Layers

In this work, we study the dynamical behaviors of the electromagnetic fields and material responses in the hyperbolic metamaterial consisting of periodically arranged metallic and dielectric layers. The thickness of each unit cell is assumed to be much smaller than the wavelength of the electromagnetic waves, so the effective medium concept can be applied. When electromagnetic (EM) fields are present, the responses of the medium in the directions parallel to and perpendicular to the layers are similar to those of Drude and Lorentz media, respectively. We derive the time-dependent energy density of the EM fields and the power loss in the effective medium based on Poynting theorem and the dynamical equations of the polarization field. The time-averaged energy density for harmonic fields was obtained by averaging the energy density in one period, and it reduces to the standard result for the lossless dispersive medium when we turn off the loss. A numerical example is given to reveal the general characteristics of the direction-dependent energy storage capacity of the medium. We also show that the Lagrangian density of the system can be constructed. The Euler–Lagrange equations yield the correct dynamical equations of the electromagnetic fields and the polarization field in the medium. The canonical momentum conjugates to every dynamical field can be derived from the Lagrangian density via differentiation or variation with respect to that field. We apply Legendre transformation to this system and find that the resultant Hamiltonian density is identical to the energy density up to an irrelevant divergence term. This coincidence implies the correctness of the energy density formula we obtained before. We also give a brief discussion about the Hamiltonian dynamics description of the system. The Lagrangian description and Hamiltonian formulation presented in this paper can be further developed for studying the elementary excitations or quasiparticles in other hyperbolic metamaterials.

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