Field In Dielectric Medium Research Articles

Fractional integro-differential equations for electromagnetic waves in dielectric media

We prove that the electromagnetic fields in dielectric media whose susceptibility follows a fractional power-law dependence in a wide frequency range can be described by differential equations with time derivatives of noninteger order. We obtain fractional integro-differential equations for electromagnetic waves in a dielectric. The electromagnetic fields in dielectrics demonstrate a fractional power-law relaxation. The fractional integro-differential equations for electromagnetic waves are common to a wide class of dielectric media regardless of the type of physical structure, the chemical composition, or the nature of the polarizing species (dipoles, electrons, or ions).

Energy-momentum balance in quantum dielectrics

We calculate the energy-momentum balance in quantum dielectrics such as Bose-Einstein condensates. In agreement with the experiment [G. K. Campbell et al. Phys. Rev. Lett. 94, 170403 (2005)] variations of the Minkowski momentum are imprinted onto the phase, whereas the Abraham tensor drives the flow of the dielectric. Our analysis indicates that the Abraham-Minkowski controversy has its root in the Roentgen interaction of the electromagnetic field in dielectric media.

Surface plasmon resonance spectroscopy based on evanescent field treatment.

The reflectance in a surface plasmon resonance (SPR) curve can be expressed in terms of the integration of the product between the evanescent electric field and the imaginary part of the dielectric constant of all absorbing media. The evanescent field in the metal film consists of two fields, one originating at the prism/metal interface and the other at the metal/dielectric interface. Near the resonance angle, the evanescent field strength at the metal/dielectric interface is much greater than that at the prism/metal interface. The evanescent field in dielectric medium has a single origin at the metal/dielectric interface. Due to the optical enhancement at the interface, the amplitude of the evanescent electric field in the dielectric medium is much greater than that in the metal film. This field, however, is not being utilized in conventional SPR where changes in the refractive index of the nonabsorbing dielectric media are of interest. In a system with an absorbing dielectric medium, the absorption of the medium is enhanced by the strong evanescent electric field. The evanescent field distributions in the metal film and in the dielectric medium are significantly altered by the absorbing dielectric, which results in shifting of the resonance angle, increasing of the reflectance, and broadening of the SPR curve. Since the absorption contribution from the absorbing dielectric can be separated from that of the metal film via knowledge of evanescent field distribution, an in-depth analysis of the SPR curve of an absorbing medium and its relationship with the material characteristics are possible.

Singular behaviour of electric and magnetic fieldsin dielectric mediain a nonlinear gravitational wave background

Evolution of electric and magnetic fields in dielectric media,driven by the influence of a strong gravitational wave, is considered forfour exactly integrable models. It is shown that the gravitational wavefield gives rise to new effects and to singular behaviour in theelectromagnetic field.

Surface defect enhancement of local electric fields in dielectric media

Surface localized defects represent a special class of microstructure in dielectric films. Whereas inhomogeneous media are often classified by volume fractions of their constituents, determinations of the local electric field require both microstructural definition and specific electric interaction among defect sites. Herein, we have used a finite element method to determine the local electric field for surface defects in dielectric films. The local electric field is both enhanced and focused in regions about the surface localized defect site. The resulting surface intensities exhibit a much broader range of magnitudes than accomodated by effective medium approximation and random resistor methods.

Foundations of Electromagnetic Theory, 3rd Edition

This revision is an update of a classic text that has been the standard electricity and magnetism text for close to 40 years. The fourth edition contains more worked examples, a new design and new problems. Vector Analysis, Electrostatistics, Solution of Electrostatic Problems, The Electrostatic Field in Dielectric Media, Microscopic Theory of Dielectrics, Electrostatic Energy, Electric Current, The Magnetic Field of Steady Currents, Magnetic Properties of Matter, Microscopic Theory of Magnetism, Electromagnetic Induction, Magnetic Energy, Slowly Varying Currents, Physics of Plasmas, Electromagnetic Properties of Superconductors, Maxwell's Equations, Propagation of Monochromatic, Monochromatic Waves in Bounded Regions, Dispersion and Oscillating Fields in Dispersive Media, The Emission of Radiation, Electrodynamics, The Special Theory of Relativity. Intended for those interested in learning the basics of standard electricity and magnetism.

Debye potentials in Riemannian spaces

By means of Debye potentials it is possible to get all solutions of source-free Maxwell equations in vacuum from a single scalar equation. Sufficient conditions for the existence of Debye potentials in a given four-dimensional Riemannian space have been found. Some examples of metrics are given, including plane gravitational waves, metrics with spherical symmetry, and cosmological models. The method is generalized to Maxwell fields with sources and Maxwell fields in dielectric media.