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searching for Wave vector 95 found (214 total)

Bragg plane (611 words) [view diff] exact match in snippet view article find links to article

)}} Where k {\displaystyle \scriptstyle \mathbf {k} } is the incident wave vector given by: k = 2 π λ n ^ {\displaystyle \mathbf {k} ={\frac {2\pi }{\lambda

Crystal momentum (1,474 words) [view diff] exact match in snippet view article find links to article

electron can be described not only by the wave vector k {\displaystyle \mathbf {k} } , but also with any other wave vector k ′ {\displaystyle \mathbf {k} '} such

Friedel oscillations (1,239 words) [view diff] exact match in snippet view article find links to article

scattering process the initial state wave vector ki of the electron wave function is scattered to a final state wave vector kf. Because the electron gas is

Group-velocity dispersion (1,365 words) [view diff] exact match in snippet view article find links to article

group-velocity dispersion can be defined in terms of the medium-dependent wave vector k ( ω ) {\displaystyle k(\omega )} according to GVD ( ω 0 ) ≡ ( ∂ 2 k

Low-energy electron diffraction (4,824 words) [view diff] exact match in snippet view article find links to article

incident electron with wave vector k i = 2 π / λ i {\displaystyle \mathbf {k} _{i}=2\pi /\lambda _{i}} and scattered wave vector k f = 2 π / λ f {\displaystyle

Random phase approximation (1,123 words) [view diff] exact match in snippet view article find links to article

electric potential is assumed to average out, so that only the potential at wave vector k contributes. This is what is meant by the random phase approximation

Technoboy (891 words) [view diff] no match in snippet view article find links to article

Hardstyle Masterz, Hunter, The Raiders, DJ Stardust, Droid, Atlantic Wave, Vector Two, Q-Zar, Ruff, Speedwave, Builder, and Psy man.[citation needed] As

Dynamic structure factor (626 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {\vec {k}}} (sometimes q → {\displaystyle {\vec {q}}} ) is a wave vector (or wave number for isotropic materials), and ω {\displaystyle \omega

Electric-field screening (2,259 words) [view diff] exact match in snippet view article find links to article

}}{\varepsilon _{0}\pi ^{2}\hbar ^{2}}}}} is called the Thomas–Fermi screening wave vector. This result follows from the equations of a Fermi gas, which is a model

Acousto-optics (2,556 words) [view diff] exact match in snippet view article find links to article

light wave vector and [110] axis of the crystal; α ℓ {\displaystyle \alpha _{\ell }} : the angle between the input face of the cell and acoustic wave vector;

Resonances in scattering from potentials (1,226 words) [view diff] no match in snippet view article find links to article

quantities naturally depend on k → {\displaystyle {\vec {k}}} , the wave-vector of the incident wave, which is related to its energy by: E = ℏ 2 | k

Stokes's law of sound attenuation (821 words) [view diff] no match in snippet view article find links to article

of reduced wave-vector and attenuation coefficient as functions of reduced frequency ωτ. (In the labels, ωc = 1/τ) Reduced wave-vector, kcτ. Asymptotic

Gap surface plasmon (572 words) [view diff] exact match in snippet view article find links to article

guided mode presents a short effective wavelength and so a very large wave vector (noted kx when the wave propagates along an Ox axis). As the thickness

Angle-resolved photoemission spectroscopy (6,046 words) [view diff] exact match in snippet view article find links to article

their binding energy E B {\displaystyle E_{\text{B}}} and the Bloch wave vector k {\displaystyle \mathbf {k} } , which is related to the electrons' crystal

SuperDARN (1,402 words) [view diff] exact match in snippet view article find links to article

frequencies don't allow for very much refraction of the transmitted radar wave vector; thus, the perpendicularity requirement could not be easily met at high

Reflection high-energy electron diffraction (3,213 words) [view diff] exact match in snippet view article find links to article

l | = | k i | {\displaystyle |k_{hl}|=|k_{i}|} (2) Here, khl is the wave vector of the elastically diffracted electrons of the order (hl) at any intersection

Thermal conductivity and resistivity (8,370 words) [view diff] exact match in snippet view article find links to article

{q} _{1}=\mathbf {q} _{2}+\mathbf {q} _{3}+\mathbf {G} } , where q1 is wave vector of the incident phonon and q2, q3 are wave vectors of the resultant phonons

Spin angular momentum of light (1,659 words) [view diff] no match in snippet view article find links to article

photon spin can be re-expressed in a simple and intuitive form in the wave-vector space S = ℏ ∫ d 3 k ϕ ^ k † s ^ ϕ ^ k {\displaystyle \mathbf {S} =\hbar

Biman Bagchi (2,248 words) [view diff] exact match in snippet view article find links to article

Bagchi and co-workers came up with a microscopic theory of frequency and wave vector dependent dielectric function which included both rotational and translational

GNU Archimedes (1,157 words) [view diff] exact match in snippet view article find links to article

field, E(k) is the energy dispersion relation, and k is the momentum wave vector. To solve the above equation, one needs strong knowledge of the band

Displacement operator (824 words) [view diff] exact match in snippet view article find links to article

{a}}^{\dagger }(\mathbf {k} )} , where k {\displaystyle \mathbf {k} } is the wave vector and its magnitude is related to the frequency ω k {\displaystyle \omega

Phonon polariton (2,527 words) [view diff] exact match in snippet view article find links to article

the wave vector of the plane wave, x {\displaystyle \mathbf {x} } the position, t the time, and ω the angular frequency. Notice that wave vector k → {\displaystyle

Photonic crystal (6,991 words) [view diff] exact match in snippet view article find links to article

photonic crystal for each value of the propagation direction given by the wave vector, or vice versa. The various lines in the band structure, correspond to

Rigid-band model (1,408 words) [view diff] exact match in snippet view article find links to article

surface of the pure metal is constructed under the assumption that the wave vector k of the Bloch electron is a good quantum number. But alloying destroys

Acousto-electric effect (251 words) [view diff] exact match in snippet view article find links to article

acoustic wave and their directions are perpendicular to the acoustic wave vector. Physical acoustics Semiconductors Piezoelectricity Elastic waves Parmenter

GW approximation (1,298 words) [view diff] exact match in snippet view article find links to article

dielectric function in the simplest Thomas–Fermi screening model for a wave vector q {\displaystyle q} is ϵ ( q ) = 1 + λ 2 / q 2 {\displaystyle \epsilon

Super Bloch oscillations (588 words) [view diff] exact match in snippet view article find links to article

lattice potential and the existence of a maximum value of the Bloch wave vector k max {\displaystyle k_{\text{max}}} . A constant force F 0 {\displaystyle

Spin wave (1,782 words) [view diff] case mismatch in snippet view article find links to article

"Spin-Polarized Electron Energy Loss Spectroscopy of High Energy, Large Wave Vector Spin Waves in Ultrathin fcc Co Films on Cu(001)" (PDF). Physical Review

Empty lattice approximation (1,098 words) [view diff] exact match in snippet view article find links to article

{\displaystyle E_{n}(\mathbf {k} )} increases more rapidly when the length of the wave vector increases and the energy rises. This is because the number of reciprocal

Composite fermion (3,539 words) [view diff] exact match in snippet view article find links to article

Landau level in a number of experiments, which also measure the Fermi wave vector. As the magnetic field is moved slightly away from B ∗ = 0 {\displaystyle

Phonon scattering (1,128 words) [view diff] exact match in snippet view article find links to article

scattering, effects by normal processes (processes which conserve the phonon wave vector - N processes) are ignored in favor of Umklapp processes (U processes)

Phonon scattering (1,128 words) [view diff] exact match in snippet view article find links to article

scattering, effects by normal processes (processes which conserve the phonon wave vector - N processes) are ignored in favor of Umklapp processes (U processes)

Differential dynamic microscopy (1,398 words) [view diff] exact match in snippet view article find links to article

images allows to quantify the growth of the signal contains for each wave vector q {\displaystyle q} and one can calculate the Fourier power spectrum

Surface plasmon resonance (3,654 words) [view diff] exact match in snippet view article find links to article

_{1}+\varepsilon _{2}\mu _{2}}}}} where k( ω {\displaystyle \omega } ) is the wave vector, ε {\displaystyle \varepsilon } is the relative permittivity, and μ {\displaystyle

Magnetohydrodynamics (5,347 words) [view diff] exact match in snippet view article find links to article

experience no dispersion. The phase velocity depends on the angle between the wave vector k and the magnetic field B. An MHD wave propagating at an arbitrary angle

Electronic band structure (4,835 words) [view diff] exact match in snippet view article find links to article

the effective mass is a tensor and also changes sign depending on the wave vector, as can be seen in the De Haas–Van Alphen effect; see https://www.phys

Rectangular potential barrier (2,664 words) [view diff] exact match in snippet view article find links to article

form of the wave function: Outside of the barrier it oscillates with wave vector k 0 {\displaystyle k_{0}} , whereas within the barrier it is exponentially

Timir Datta (867 words) [view diff] exact match in snippet view article find links to article

a direct consequence of Euclidean length invariance of the incident wave vector; in fact Max von Laue's three diffraction equations are not independent

Rigorous coupled-wave analysis (1,025 words) [view diff] exact match in snippet view article find links to article

matrices. To solve for the electromagnetic modes, which are decided by the wave vector of the incident plane wave, in periodic dielectric medium, Maxwell's

Mie scattering (9,240 words) [view diff] exact match in snippet view article find links to article

{\omega }{c}}n} is the wave vector outside the particle k 1 = ω c n 1 {\textstyle k_{1}={\frac {\omega }{c}}{n_{1}}} is the wave vector in the medium from

Ultrashort pulse (3,346 words) [view diff] exact match in snippet view article find links to article

envelope approximation (SVEA) of the electric field of a wave with central wave vector K 0 {\displaystyle {\textbf {K}}_{0}} and central frequency ω 0 {\displaystyle

Quasi-harmonic approximation (932 words) [view diff] exact match in snippet view article find links to article

i}(V)/k_{B}} is introduced as the characteristic temperature for a phonon with wave vector k in the i-th band at volume V and n k , i ( T , V ) {\textstyle n_{\mathbf

Laser detuning (1,714 words) [view diff] exact match in snippet view article find links to article

{k}}\cdot {\vec {v}})} where k → {\displaystyle {\vec {k}}} is the laser's wave vector and v → {\displaystyle {\vec {v}}} is the velocity of the atom. Engineering

Position operator (2,611 words) [view diff] no match in snippet view article find links to article

{p} } represents the coordinate function on the momentum line and the wave-vector function k {\displaystyle \mathrm {k} } is defined by k = p / ℏ {\displaystyle

Dynamic scaling (1,335 words) [view diff] exact match in snippet view article find links to article

and Bertrand Halperin (1977), namely they suggested "[...] that the wave vector- and frequency dependent susceptibility of a ferromagnet near its Curie

Index ellipsoid (2,621 words) [view diff] exact match in snippet view article find links to article

normal surface for the index surface (p. 87) or the corresponding surface for the wave vector k (p. 73). Born & Wolf, 2002, p. 799; Yariv & Yeh, 1984, p. 77. Jenkins

Zero sound (1,216 words) [view diff] exact match in snippet view article find links to article

for the zero sound waves with frequency ω {\displaystyle \omega } and wave vector k → {\displaystyle {\vec {k}}} . The transport equation is valid in the

Astronomical seeing (3,902 words) [view diff] no match in snippet view article find links to article

monochromatic plane waves arriving from a distant point source with wave-vector k {\displaystyle \mathbf {k} } : ψ 0 ( r , t ) = A u e i ( ϕ u + 2 π

Critical dimension (1,611 words) [view diff] exact match in snippet view article find links to article

dimensional analysis this means that the exponents N {\displaystyle N} count wave vector factors (a reciprocal length k = 1 / L 1 {\displaystyle k=1/L_{1}} )

Reaction–diffusion system (3,606 words) [view diff] exact match in snippet view article find links to article

the Jacobian R′ of the reaction function. In particular, if a finite wave vector k is supposed to be the most unstable one, the Jacobian must have the

Static light scattering (2,540 words) [view diff] exact match in snippet view article find links to article

solvent will yield the Rayleigh ratio, R as a function of the angle or the wave vector q as follows: The scattered intensity can be plotted as a function of

Richard W. Ziolkowski (1,654 words) [view diff] case mismatch in snippet view article find links to article

B. Judkins, "Optical Nonlinear Wakefield Vortices: Results from Full-Wave Vector Maxwell Equation Simulations in Two Spatial Dimensions and Time" in Integrated

Heat transfer physics (9,679 words) [view diff] exact match in snippet view article find links to article

modes [sα: unit vector of mode α, ωp: angular frequency of wave, and κp: wave vector]. Using this plane-wave displacement, the equation of motion becomes

Cluster II (spacecraft) (12,941 words) [view diff] exact match in snippet view article

December 6, 2017 – Direct measurement of anisotropic and asymmetric wave vector spectrum in ion-scale solar wind turbulence October 30, 2017 – Coherent

Semiconductor Bloch equations (2,295 words) [view diff] exact match in snippet view article find links to article

}} is the Coulomb matrix element, given here in terms of the carrier wave vector k {\displaystyle \mathbf {k} } . The symbolically denoted ⋯ | s c a t

Surface plasmon resonance microscopy (7,726 words) [view diff] exact match in snippet view article find links to article

n(p) is the refractive index of the prism. When the wave vector of the SPW, ksp matches the wave vector of the incident light k x {\textstyle k_{x}} , SPW

Jellium (2,922 words) [view diff] exact match in snippet view article find links to article

{F}}} is the Fermi energy, k F {\displaystyle k_{\rm {F}}} is the Fermi wave vector, and the last expression shows the dependence on the Wigner–Seitz radius

Gravitational redshift (6,013 words) [view diff] exact match in snippet view article find links to article

r 3 {\displaystyle {\vec {g}}=-GM{\frac {\vec {r}}{r^{3}}}} and the wave vector of a photon leaving the gravitational field in radial direction k → =

Quantum decoherence (10,531 words) [view diff] exact match in snippet view article find links to article

quantum superposition. Each expansion corresponds to a projection of the wave vector onto a basis. The basis can be chosen at will. Choosing an expansion

X-ray photoelectron spectroscopy (6,252 words) [view diff] exact match in snippet view article find links to article

j 2 {\displaystyle \Delta k_{j}^{2}} is the squared magnitude of the wave vector variation caused by scattering, and U j 2 ¯ {\displaystyle {\bar {U_{j}^{2}}}}

Fermi gas (5,620 words) [view diff] exact match in snippet view article find links to article

k_{\mathrm {F} }} is the radius of the Fermi sphere and is called the Fermi wave vector. Note that these quantities are not well-defined in cases where the Fermi

Zwanzig projection operator (2,177 words) [view diff] exact match in snippet view article find links to article

\mathbf {\pi } _{\mathbf {k} }(\Gamma )} of the momentum density with the wave vector k {\displaystyle \mathbf {k} } identified with n {\displaystyle n} .

Fulde–Ferrell–Larkin–Ovchinnikov phase (1,823 words) [view diff] exact match in snippet view article find links to article

pairing momentum leads to a spatially modulated order parameter with wave vector q. For the FFLO phase to appear, it is required that Pauli paramagnetic

F(R) gravity (4,096 words) [view diff] no match in snippet view article

and vg(ω) = dω/dk is the group velocity of a wave packet hf centred on wave-vector k. The first two terms correspond to the usual transverse polarizations

Quantum reflection (2,567 words) [view diff] no match in snippet view article find links to article

2 π / λ {\displaystyle k=2\pi /\lambda } the normal component of its wave-vector, then the energy of the normal motion of the particle, E = ( ℏ k ) 2

Debye–Waller factor (3,726 words) [view diff] exact match in snippet view article find links to article

crystal momentum. Particles scattered in a crystal experience a change in wave vector equal to a reciprocal lattice vector of the crystal. When they do, the

Particle in a one-dimensional lattice (3,625 words) [view diff] no match in snippet view article find links to article

This equation shows the relation between the energy (through α) and the wave-vector, k, and as you can see, since the left hand side of the equation can

Uncertainty principle (19,263 words) [view diff] no match in snippet view article find links to article

momentum component p. Top: If wavelength λ is unknown, so are momentum p, wave-vector k and energy E (de Broglie relations). As the particle is more localized

Ballistic conduction in single-walled carbon nanotubes (1,632 words) [view diff] exact match in snippet view article find links to article

structure in CNTs.; b) Linear dependence of the electron energy on the wave vector in CNTs; c) Dispersion relation near the Fermi energy for a semiconducting

Electron mobility (7,204 words) [view diff] exact match in snippet view article find links to article

scatter from state k to k', while emitting or absorbing a phonon of wave vector q. This phenomenon is usually modeled by assuming that lattice vibrations

Surface-extended X-ray absorption fine structure (1,844 words) [view diff] exact match in snippet view article find links to article

excited atom to the jth shell of neighbors and k is the photoelectrons wave vector, k = 1 ℏ [ 2 m ( ℏ ( ω − ω T ) + V o ) ] , {\displaystyle k={\frac {1}{\hbar

Photon scanning microscopy (3,555 words) [view diff] exact match in snippet view article find links to article

refractive index of the second medium, k is the magnitude of the incident wave vector, and θi is the angle of incidence.The decay constant is used in determining

Finite-difference time-domain method (5,475 words) [view diff] exact match in snippet view article find links to article

000180. PMID 19784268. R. W. Ziolkowski; J. B. Judkins (1993). "Full-wave vector Maxwell's equations modeling of self-focusing of ultra-short optical

Scanning tunneling spectroscopy (3,643 words) [view diff] exact match in snippet view article find links to article

the bottom of the valence band, k F {\displaystyle k_{F}} is the Fermi wave vector, and r {\displaystyle r} is the lateral resolution. Since spatial resolution

Linear elasticity (8,585 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {\sqrt {-1}}q_{i}} , where q {\displaystyle q} is the wave vector ( λ + μ ) q i q j u j + μ | q | 2 u i = F i {\displaystyle (\lambda +\mu

UPd2Al3 (811 words) [view diff] exact match in snippet view article find links to article

UPd2Al3 orders antiferromagnetically in a commensurate fashion (ordering wave vector (0,0,1/2)) and with a sizable ordered magnetic moment of approximately

Aperiodic crystal (895 words) [view diff] exact match in snippet view article find links to article

_{1}a^{*}+\sigma _{2}b^{*}+\sigma _{3}c^{*}} . q {\displaystyle q} is modulation wave vector, which represents the direction and wavelength of the modulation wave

Low-energy electron microscopy (2,922 words) [view diff] exact match in snippet view article find links to article

plane wave with the sample surface. In inverse (or "k-space") space, the wave vector of the incident and scattered waves are k 0 = 2 π / λ 0 {\displaystyle

Optical manipulation of atoms (2,044 words) [view diff] exact match in snippet view article find links to article

(where ħ is the reduced Planck constant and k is the magnitude of the wave vector of the laser) in the direction of the absorbed photon. Due to this momentum

High contrast grating (1,722 words) [view diff] exact match in snippet view article find links to article

Schematics of high contrast grating. Λ, grating period; ko, incident light wave vector; nbar, refractive index of grating bar; no, refractive index of the surrounding

Topological insulator (6,993 words) [view diff] exact match in snippet view article find links to article

wave propagation properties of a material by assigning a matrix to each wave vector in the Brillouin zone. Mathematically, this assignment creates a vector

Darwin Lagrangian (2,582 words) [view diff] exact match in snippet view article find links to article

perturbation theory. When the photon has four-momentum pμ = ħkμ with wave vector kμ = (ω /c, k), its propagator in the Coulomb gauge has two components

Branka Ladanyi (1,383 words) [view diff] exact match in snippet view article find links to article

4308L. doi:10.1063/1.431001. ISSN 0021-9606. Fonseca, T.; Ladanyi, B. M. Wave vector dependent static dielectric properties of associated liquids: Methanol

Semiconductor luminescence equations (3,324 words) [view diff] exact match in snippet view article find links to article

{\displaystyle ({\hat {B}}_{\omega }^{\dagger })} when an electron with wave vector k {\displaystyle \mathbf {k} } recombines with a hole, i.e., an electronic

Zero-point energy (26,543 words) [view diff] exact match in snippet view article find links to article

kλ are photon annihilation and creation operators for the mode with wave vector k and polarization λ. This gives the vector potential for a plane wave

Ravindra Kumar Sinha (physicist) (4,483 words) [view diff] exact match in snippet view article

Polariton waves operating in dispersion regime with anti parallel refracted wave vector and the Poynting vector. Plasmonics & Plasmonic Bandgap Engineering:

Multislice (3,815 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \lambda } is the wavelength of the electron wave (related to the wave vector by the relation k = 2 π / λ {\displaystyle k=2\pi /\lambda } ). In the

Maria Asensio (2,674 words) [view diff] exact match in snippet view article find links to article

the electronic structure recording the "with binding energy (BE) vs. k wave vector" plots and Fermi surface imaging of heterogeneous complex materials with

Ultrasound-modulated optical tomography (4,993 words) [view diff] exact match in snippet view article find links to article

the background index of refraction; k0 is the magnitude of the optical wave vector in vacuo; A is the acoustic amplitude, which is proportional to the acoustic

Kitaev chain (1,581 words) [view diff] exact match in snippet view article find links to article

it is gapped, except for the case μ = 2 t {\displaystyle \mu =2t} and wave vector k = 0 {\displaystyle k=0} . For the bulk case there are no zero modes

Kelvin wake pattern (1,485 words) [view diff] exact match in snippet view article find links to article

Here ψ is the angle between the path of the wave source and the direction of wave propagation (the wave vector k), and the circles represent wavefronts.

Precession electron diffraction (4,332 words) [view diff] no match in snippet view article find links to article

{\displaystyle t} is the sample thickness, and k {\displaystyle k} is the wave-vector of the electron beam. J 0 {\displaystyle J_{0}} is the Bessel function

Pengcheng Dai (2,122 words) [view diff] exact match in snippet view article find links to article

magnetic field on the resonance, and characterized the overall energy/wave vector dependence of the magnetic excitations in YBCO. Later, in 2000, he discovered

Bound state in the continuum (3,582 words) [view diff] exact match in snippet view article find links to article

Observation and differentiation of unique high-Q optical resonances near zero wave vector in macroscopic photonic crystal slabs. Phys. Rev. Lett. 109, 067401 (2012)

Adiabatic connection fluctuation dissipation theorem (2,292 words) [view diff] no match in snippet view article find links to article

Perdew, J. P. (1977). "Exchange-correlation energy of a metallic surface: Wave-vector analysis". Physical Review B. 15 (6): 2884–2901. Bibcode:1977PhRvB..15