Spatial dispersion, the Glossary
In the physics of continuous media, spatial dispersion is usually described as a phenomenon where material parameters such as permittivity or conductivity have dependence on wavevector.[1]
Table of Contents
41 relations: Acoustic wave, Acoustics, Butterworth-Heinemann, Calcite, Chiral media, Constitutive equation, Continuum mechanics, Crystal structure, Dirac delta function, Dispersion relation, Doppler broadening, Effective medium approximations, Elasticity tensor, Electrical resistivity and conductivity, Electromagnetic radiation, Electromagnetism, Exciton, Fourier transform, Hertz, Linear response function, Longitudinal wave, Lyddane–Sachs–Teller relation, Magnetization, Maxwell's equations, Metamaterial, Negative-index metamaterial, Normal mode, Ohm's law, Optical rotation, Permittivity, Phonon, Physics, Plane wave, Plasmon, Polarization density, Tensor, Time-translation symmetry, Transverse wave, Vacuum permeability, Wave vector, Wavelength.
Acoustic wave
Acoustic waves are a type of energy propagation through a medium by means of adiabatic loading and unloading.
See Spatial dispersion and Acoustic wave
Acoustics
Acoustics is a branch of physics that deals with the study of mechanical waves in gases, liquids, and solids including topics such as vibration, sound, ultrasound and infrasound.
See Spatial dispersion and Acoustics
Butterworth-Heinemann
Butterworth–Heinemann is a British publishing company specialised in professional information and learning materials for higher education and professional training, in printed and electronic forms.
See Spatial dispersion and Butterworth-Heinemann
Calcite
Calcite is a carbonate mineral and the most stable polymorph of calcium carbonate (CaCO3).
See Spatial dispersion and Calcite
The direction of current flow and induced magnetic flux follow a "handness" relationship The term chiral describes an object, especially a molecule, which has or produces a non-superposable mirror image of itself.
See Spatial dispersion and Chiral media
Constitutive equation
In physics and engineering, a constitutive equation or constitutive relation is a relation between two or more physical quantities (especially kinetic quantities as related to kinematic quantities) that is specific to a material or substance or field, and approximates its response to external stimuli, usually as applied fields or forces.
See Spatial dispersion and Constitutive equation
Continuum mechanics
Continuum mechanics is a branch of mechanics that deals with the deformation of and transmission of forces through materials modeled as a continuous medium (also called a continuum) rather than as discrete particles.
See Spatial dispersion and Continuum mechanics
Crystal structure
In crystallography, crystal structure is a description of ordered arrangement of atoms, ions, or molecules in a crystalline material.
See Spatial dispersion and Crystal structure
Dirac delta function
In mathematical analysis, the Dirac delta function (or distribution), also known as the unit impulse, is a generalized function on the real numbers, whose value is zero everywhere except at zero, and whose integral over the entire real line is equal to one.
See Spatial dispersion and Dirac delta function
Dispersion relation
In the physical sciences and electrical engineering, dispersion relations describe the effect of dispersion on the properties of waves in a medium.
See Spatial dispersion and Dispersion relation
Doppler broadening
In atomic physics, Doppler broadening is broadening of spectral lines due to the Doppler effect caused by a distribution of velocities of atoms or molecules. Spatial dispersion and Doppler broadening are physical phenomena.
See Spatial dispersion and Doppler broadening
Effective medium approximations
In materials science, effective medium approximations (EMA) or effective medium theory (EMT) pertain to analytical or theoretical modeling that describes the macroscopic properties of composite materials.
See Spatial dispersion and Effective medium approximations
Elasticity tensor
The elasticity tensor is a fourth-rank tensor describing the stress-strain relation in a linear elastic material.
See Spatial dispersion and Elasticity tensor
Electrical resistivity and conductivity
Electrical resistivity (also called volume resistivity or specific electrical resistance) is a fundamental specific property of a material that measures its electrical resistance or how strongly it resists electric current.
See Spatial dispersion and Electrical resistivity and conductivity
Electromagnetic radiation
In physics, electromagnetic radiation (EMR) consists of waves of the electromagnetic (EM) field, which propagate through space and carry momentum and electromagnetic radiant energy.
See Spatial dispersion and Electromagnetic radiation
Electromagnetism
In physics, electromagnetism is an interaction that occurs between particles with electric charge via electromagnetic fields.
See Spatial dispersion and Electromagnetism
Exciton
An electron and an electron hole that are attracted to each other by the Coulomb force can form a bound state called an exciton.
See Spatial dispersion and Exciton
Fourier transform
In physics, engineering and mathematics, the Fourier transform (FT) is an integral transform that takes a function as input and outputs another function that describes the extent to which various frequencies are present in the original function.
See Spatial dispersion and Fourier transform
Hertz
The hertz (symbol: Hz) is the unit of frequency in the International System of Units (SI), equivalent to one event (or cycle) per second.
See Spatial dispersion and Hertz
Linear response function
A linear response function describes the input-output relationship of a signal transducer, such as a radio turning electromagnetic waves into music or a neuron turning synaptic input into a response.
See Spatial dispersion and Linear response function
Longitudinal wave
Longitudinal waves are waves in which the vibration of the medium is parallel to the direction the wave travels and displacement of the medium is in the same (or opposite) direction of the wave propagation.
See Spatial dispersion and Longitudinal wave
Lyddane–Sachs–Teller relation
In condensed matter physics, the Lyddane–Sachs–Teller relation (or LST relation) determines the ratio of the natural frequency of longitudinal optic lattice vibrations (phonons) (\omega_\text) of an ionic crystal to the natural frequency of the transverse optical lattice vibration (\omega_\text) for long wavelengths (zero wavevector).
See Spatial dispersion and Lyddane–Sachs–Teller relation
Magnetization
In classical electromagnetism, magnetization is the vector field that expresses the density of permanent or induced magnetic dipole moments in a magnetic material.
See Spatial dispersion and Magnetization
Maxwell's equations
Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, electric and magnetic circuits.
See Spatial dispersion and Maxwell's equations
A metamaterial (from the Greek word μετά meta, meaning "beyond" or "after", and the Latin word materia, meaning "matter" or "material") is a type of material engineered to have a property that is rarely observed in naturally occurring materials.
See Spatial dispersion and Metamaterial
Negative-index metamaterial or negative-index material (NIM) is a metamaterial whose refractive index for an electromagnetic wave has a negative value over some frequency range.
See Spatial dispersion and Negative-index metamaterial
Normal mode
A normal mode of a dynamical system is a pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation.
See Spatial dispersion and Normal mode
Ohm's law
Ohm's law states that the electric current through a conductor between two points is directly proportional to the voltage across the two points.
See Spatial dispersion and Ohm's law
Optical rotation
Optical rotation, also known as polarization rotation or circular birefringence, is the rotation of the orientation of the plane of polarization about the optical axis of linearly polarized light as it travels through certain materials.
See Spatial dispersion and Optical rotation
Permittivity
In electromagnetism, the absolute permittivity, often simply called permittivity and denoted by the Greek letter (epsilon), is a measure of the electric polarizability of a dielectric material.
See Spatial dispersion and Permittivity
Phonon
A phonon is a collective excitation in a periodic, elastic arrangement of atoms or molecules in condensed matter, specifically in solids and some liquids.
See Spatial dispersion and Phonon
Physics
Physics is the natural science of matter, involving the study of matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force.
See Spatial dispersion and Physics
Plane wave
In physics, a plane wave is a special case of a wave or field: a physical quantity whose value, at any moment, is constant through any plane that is perpendicular to a fixed direction in space.
See Spatial dispersion and Plane wave
Plasmon
In physics, a plasmon is a quantum of plasma oscillation.
See Spatial dispersion and Plasmon
Polarization density
In classical electromagnetism, polarization density (or electric polarization, or simply polarization) is the vector field that expresses the volumetric density of permanent or induced electric dipole moments in a dielectric material.
See Spatial dispersion and Polarization density
Tensor
In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects related to a vector space.
See Spatial dispersion and Tensor
Time-translation symmetry
Time-translation symmetry or temporal translation symmetry (TTS) is a mathematical transformation in physics that moves the times of events through a common interval.
See Spatial dispersion and Time-translation symmetry
Transverse wave
In physics, a transverse wave is a wave that oscillates perpendicularly to the direction of the wave's advance.
See Spatial dispersion and Transverse wave
Vacuum permeability
The vacuum magnetic permeability (variously vacuum permeability, permeability of free space, permeability of vacuum, magnetic constant) is the magnetic permeability in a classical vacuum.
See Spatial dispersion and Vacuum permeability
Wave vector
In physics, a wave vector (or wavevector) is a vector used in describing a wave, with a typical unit being cycle per metre.
See Spatial dispersion and Wave vector
Wavelength
In physics and mathematics, wavelength or spatial period of a wave or periodic function is the distance over which the wave's shape repeats.
See Spatial dispersion and Wavelength