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Negative Refraction and Perfect Lenses Using Chiral and Bianisotropic Materials
Published in Filippo Capolino, Theory and Phenomena of Metamaterials, 2017
Here є¯¯andμ¯¯ are the permittivity and permeability dyadics (in matrix form each of which can be represented in terms of nine complex scalar parameters), and a¯¯andb¯¯ are the magnetoelectric coupling dyadics. Magnetoelectric coupling in linear media can result from spatial dispersion and from nonreciprocity of the composite. Bianisotropic media can be classified [1] as chiral and omega media (reciprocal magnetoelectric coupling) and Tellegen and moving media (nonreciprocal coupling).
Optical spectra of composite cholesteric elastomers doped with metallic nano-ellipsoids
Published in Liquid Crystals, 2022
Here and , correspond to the elements parallel and perpendicular of the dielectric tensor of the host material; are the depolarisation dyadics defined in Equations (10) and (11); is the dielectric response of the metallic inclusions. It is worth mentioning that if the inclusions are spheres, then , and the anisotropy of the host medium satisfies [35].
A momentum form of Kane’s equations for scleronomic systems
Published in Mathematical and Computer Modelling of Dynamical Systems, 2018
James R. Phillips, Farid Amirouche
Many of the equations below will be written in indicial notation, and the standard summation convention for repeated indices will apply. Bold italic roman letters will be used for physical vectors, bold upright sans serif for dyadics, with “” for the vector dot-product and “” for the vector cross-product. Upright roman letters will be used to refer to matrices.
Out-of-plane enhancement in a discrete random halfspace
Published in Waves in Random and Complex Media, 2022
Reid K. McCargar, Roger H. Lang
A unified mathematical treatment is applied to the first- and second-order statistics of the -time-harmonic EM and acoustic fields. The geometry considered consists of a population of random particles confined to a layer of thickness, d, on one side of the interface between two otherwise homogeneous and isotropic halfspaces (Figure 2). In the absence of the random particles, the electric field is governed by where is the source current density, and with μ and ϵ denoting the magnetic permeability and electric permittivity. Arguments will be implied except where needed for clarity throughout. The time-harmonic acoustic velocity potential, ψ, also obeys a second-order partial differential equation in a particle-free medium, where is still given by (2) if μ represents the medium's density and ϵ the reciprocal of its bulk modulus. In the acoustic case, represents a volume injection source. Equations (1) and (3) can be written in a unified operator form, where is the differential operator governing the particle-free background medium, is the field in the absence of the particles, and Non-underlined, bold symbols will denote vectors, and bold, underlined symbols will denote tensors/dyadics, with corresponding to the identity tensor. Regarding scalar quantities as single-component vectors or tensors allows common notation to be applied to both the EM and acoustic problems.