Huygens’ Principle in a Moving Isotropic, Homogeneous, and Linear Medium

Fractional Duality in Homogeneous Bi-isotropic Medium

The fractional dual solutions of Maxwell equations in bi-isotropic medium are determined using the field decomposition approach. Both negative phase velocity and positive phase velocity propagation have been considered. The results are compared with the corresponding available results for isotropic and chiral medium. Time average power associated with fractional dual fields and corresponding so...

Investigation of Charged Particles Radiation Moving in a Homogeneous Dispersive Medium (TECHNICAL NOTE)

In this work, we use Drude-Lorents model description to study the radiation of a charged particles moving in a homogeneous dispersive medium. A suitable quantized electromagnetic field for such medium is utilized to obtain proper equations for energy loss of the particle per unit length. The energy loss is separately calculated for transverse and longitudinal components of the filed operators. ...

Elasto-Thermodiffusive Response in a Two-Dimensional Transversely Isotropic Medium

The present article investigates the elasto-thermodiffusive interactions in a transversely isotropic elastic medium in the context of thermoelasticity with one relaxation time parameter and two relation time parameters. The resulting non-dimensional coupled equations are applied to a specific problem of a half-space in which the surface is free of tractions and is subjected to time-dependent th...

Conservation Laws in Elasticity II. Linear Homogeneous Isotropic Elastostatics

Multidimensional Baker-Akhiezer Functions and Huygens’ Principle

A notion of rational Baker-Akhiezer (BA) function related to a configuration of hyperplanes in C is introduced. It is proved that BA function exists only for very special configurations (locus configurations), which satisfy certain overdetermined algebraic system. The BA functions satisfy some algebraically integrable Schrödinger equations, so any locus configuration determines such an equation...