Dispersion relations, stored energy and group velocity for anisotropic electromagnetic media

  title={Dispersion relations, stored energy and group velocity for anisotropic electromagnetic media},
  author={Herbert Kurss},
  journal={Quarterly of Applied Mathematics},
  • H. Kurss
  • Published 1 October 1968
  • Physics
  • Quarterly of Applied Mathematics
The Hermitian and skew-Hermitian components of the susceptibility matrix of a general linear electromagnetic medium are represented as Hilbert transforms of each other. These so-called dispersion relations lead to a priori inequalities which must be satisfied by the susceptibility of a passive medium in a frequency interval in which the medium is lossless. One such inequality states that the stored energy density for a given E(«) and H(ai) is always greater than in free space. This is also… 
3 Citations
Rays, stored energy, and power flow in dielectric waveguides*
For light propagation in dielectric waveguides, interconnections are established between phase velocity, group velocity, stored energy, power flow, and a zigzag-ray model. The ray model takes account
Electromagnetic momentum and momentum flow in dielectric waveguides
The electromagnetic momentum and its flow in dielectric waveguides is investigated. Expressions for momentum and momentum flow in terms of the fields of the waveguide modes are derived, allowing for
Impedance, bandwidth, and Q of antennas
To address the need for fundamental universally valid definitions of exact bandwidth and quality factor (Q) of tuned antennas, as well as the need for efficient accurate approximate formulas for


Group velocity and power flow relations for surface waves in plane-stratified anisotropic media
Two aspects of power flow associated with electromagnetic waves in plane-stratified, dispersive, anisotropic media that are also lossless and linear are considered. One aspect is the relation between
Causality and the Dispersion Relation: Logical Foundations
A rigorous proof is given of the logical equivalence of strict causality ("no output before the input") and the validity of a dispersion relation, e.g., the relation expressing the real part of a generalized scattering amplitude as an integral involving the imaginary part.
Energy density in continuous electromagnetic media
After a discussion of various types of linear electromagnetic media, a general expression for the energy density for a lossless medium is derived by evaluation of the total influx of energy to a
Wave packets, the Poynting vector, and energy flow: 4. Poynting and Macdonald velocities in dissipative anisotropic media (conclusion)
This paper is the last in a series designed to determine the path of electromagnetic energy flow in media of complex natures. In it, the common method of using the Poynting vector is extended to
Electromagnetic Theory
THE basis of Mr. Heaviside's treatise is the inter-linked magnetic and electric circuits. This is taken from Maxwell, but it is much more fully developed, and the analogy between the electric and
Dispersion Relations for Tensor Media and Their Application to Ferrites
The well‐known Kronig‐Kramers integral relations between the real and imaginary parts of the susceptibility are generalized to the case where the susceptibility is a tensor. The consequences of the
Electrodynamics of continuous media
Electrostatics of conductors Static magnetic field Superconductivity The propagation of electromagnetic waves Spatial dispersion Diffraction of X rays in crystals.
Wave propagation and group velocity
Handbuch der Physik
EVERY student of physics will share the satisfaction of the editor of this treatise that a second edition was called for so soon; for he has found it to be an indispensable storehouse of expert
Electromagnetic Waveguides and Resonators
Waveguides and cavity resonators play an essential role in microwave physics. They are widely used in physical measurements and special devices. In this article the basic theory of waveguides and