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Dispersion relation

Index Dispersion relation

In physical sciences and electrical engineering, dispersion relations describe the effect of dispersion in a medium on the properties of a wave traveling within that medium. [1]

42 relations: Angular frequency, Attenuation, Brillouin zone, Dispersion (optics), Dynamical theory of diffraction, Electrical conductor, Electrical engineering, Electromagnetic radiation, Electron diffraction, Electronic band structure, Elementary particle, Ellipsometry, Energy–momentum relation, Fermi surface, Frequency, Group velocity, Insulator (electricity), Isaac Newton, Kinetic energy, Kramers–Kronig relations, Matter wave, Momentum, Optics, Outline of physical science, Phase velocity, Phonon, Pierre-Simon Laplace, Planck constant, Prism, Refractive index, Scattering theory, Semiconductor, Speed of light, Transmission electron microscopy, Ultrarelativistic limit, Ultrashort pulse, Wave packet, Wave propagation, Waveguide, Wavelength, Wavenumber, Wind wave.

Angular frequency

In physics, angular frequency ω (also referred to by the terms angular speed, radial frequency, circular frequency, orbital frequency, radian frequency, and pulsatance) is a scalar measure of rotation rate.

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Attenuation

In physics, attenuation or, in some contexts, extinction is the gradual loss of flux intensity through a medium.

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Brillouin zone

In mathematics and solid state physics, the first Brillouin zone is a uniquely defined primitive cell in reciprocal space.

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Dispersion (optics)

In optics, dispersion is the phenomenon in which the phase velocity of a wave depends on its frequency.

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Dynamical theory of diffraction

The dynamical theory of diffraction describes the interaction of waves with a regular lattice.

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Electrical conductor

In physics and electrical engineering, a conductor is an object or type of material that allows the flow of an electrical current in one or more directions.

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Electrical engineering

Electrical engineering is a professional engineering discipline that generally deals with the study and application of electricity, electronics, and electromagnetism.

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Electromagnetic radiation

In physics, electromagnetic radiation (EM radiation or EMR) refers to the waves (or their quanta, photons) of the electromagnetic field, propagating (radiating) through space-time, carrying electromagnetic radiant energy.

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Electron diffraction

Electron diffraction refers to the wave nature of electrons.

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Electronic band structure

In solid-state physics, the electronic band structure (or simply band structure) of a solid describes the range of energies that an electron within the solid may have (called energy bands, allowed bands, or simply bands) and ranges of energy that it may not have (called band gaps or forbidden bands).

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Elementary particle

In particle physics, an elementary particle or fundamental particle is a particle with no substructure, thus not composed of other particles.

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Ellipsometry

Ellipsometry is an optical technique for investigating the dielectric properties (complex refractive index or dielectric function) of thin films.

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Energy–momentum relation

In physics, the energy–momentum relation, or relativistic dispersion relation, is the relativistic equation relating any object's rest (intrinsic) mass, total energy, and momentum: holds for a system, such as a particle or macroscopic body, having intrinsic rest mass, total energy, and a momentum of magnitude, where the constant is the speed of light, assuming the special relativity case of flat spacetime.

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Fermi surface

In condensed matter physics, the Fermi surface is the surface in reciprocal space which separates occupied from unoccupied electron states at zero temperature.

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Frequency

Frequency is the number of occurrences of a repeating event per unit of time.

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Group velocity

The group velocity of a wave is the velocity with which the overall shape of the wave's amplitudes—known as the modulation or envelope of the wave—propagates through space.

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Insulator (electricity)

An electrical insulator is a material whose internal electric charges do not flow freely; very little electric current will flow through it under the influence of an electric field.

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Isaac Newton

Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English mathematician, astronomer, theologian, author and physicist (described in his own day as a "natural philosopher") who is widely recognised as one of the most influential scientists of all time, and a key figure in the scientific revolution.

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Kinetic energy

In physics, the kinetic energy of an object is the energy that it possesses due to its motion.

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Kramers–Kronig relations

The Kramers–Kronig relations are bidirectional mathematical relations, connecting the real and imaginary parts of any complex function that is analytic in the upper half-plane.

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Matter wave

Matter waves are a central part of the theory of quantum mechanics, being an example of wave–particle duality.

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Momentum

In Newtonian mechanics, linear momentum, translational momentum, or simply momentum (pl. momenta) is the product of the mass and velocity of an object.

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Optics

Optics is the branch of physics which involves the behaviour and properties of light, including its interactions with matter and the construction of instruments that use or detect it.

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Outline of physical science

Physical science is a branch of natural science that studies non-living systems, in contrast to life science.

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Phase velocity

The phase velocity of a wave is the rate at which the phase of the wave propagates in space.

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Phonon

In physics, a phonon is a collective excitation in a periodic, elastic arrangement of atoms or molecules in condensed matter, like solids and some liquids.

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Pierre-Simon Laplace

Pierre-Simon, marquis de Laplace (23 March 1749 – 5 March 1827) was a French scholar whose work was important to the development of mathematics, statistics, physics and astronomy.

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Planck constant

The Planck constant (denoted, also called Planck's constant) is a physical constant that is the quantum of action, central in quantum mechanics.

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Prism

In optics, a prism is a transparent optical element with flat, polished surfaces that refract light.

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Refractive index

In optics, the refractive index or index of refraction of a material is a dimensionless number that describes how light propagates through that medium.

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Scattering theory

In mathematics and physics, scattering theory is a framework for studying and understanding the scattering of waves and particles.

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Semiconductor

A semiconductor material has an electrical conductivity value falling between that of a conductor – such as copper, gold etc.

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Speed of light

The speed of light in vacuum, commonly denoted, is a universal physical constant important in many areas of physics.

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Transmission electron microscopy

Transmission electron microscopy (TEM, also sometimes conventional transmission electron microscopy or CTEM) is a microscopy technique in which a beam of electrons is transmitted through a specimen to form an image.

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Ultrarelativistic limit

In physics, a particle is called ultrarelativistic when its speed is very close to the speed of light.

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Ultrashort pulse

In optics, an ultrashort pulse of light is an electromagnetic pulse whose time duration is of the order of a picosecond (10−12 second) or less.

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Wave packet

In physics, a wave packet (or wave train) is a short "burst" or "envelope" of localized wave action that travels as a unit.

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Wave propagation

Wave propagation is any of the ways in which waves travel.

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Waveguide

A waveguide is a structure that guides waves, such as electromagnetic waves or sound, with minimal loss of energy by restricting expansion to one dimension or two.

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Wavelength

In physics, the wavelength is the spatial period of a periodic wave—the distance over which the wave's shape repeats.

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Wavenumber

In the physical sciences, the wavenumber (also wave number or repetency) is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.

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Wind wave

In fluid dynamics, wind waves, or wind-generated waves, are surface waves that occur on the free surface of bodies of water (like oceans, seas, lakes, rivers, canals, puddles or ponds).

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Amplitude dispersion, Dispersion Relation, Dispersion Relation (Mathematics), Dispersion equation, Dispersion relation (mathematics), Dispersion relations, Frequency dispersion, Phase velocity dispersion.

References

[1] https://en.wikipedia.org/wiki/Dispersion_relation

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