DOSEN PROFIL LENGKAP

In physics, a wave vector (or wavevector) is a vector used in describing a wave, with a typical unit being cycle per metre. It has a magnitude and direction...

neutron, and x-ray diffraction which shows the relationship between: the wavevector of the incident and diffracted beams, the diffraction angle for a given...

angular wave vector k, respectively. They form the components of the four-wavevector or wave four-vector: K = ( ω c , k → ) = ( ω c , ω v p n ^ ) . {\displaystyle...

the set of all vectors G m {\displaystyle \mathbf {G} _{m}} , that are wavevectors k of plane waves in the Fourier series of a spatial function whose periodicity...

convenient to consider phonon wavevectors k which have the smallest magnitude |k| in their "family". The set of all such wavevectors defines the first Brillouin...

a reciprocal lattice point from the reciprocal lattice origin) is the wavevector of a plane wave in the Fourier series of a spatial function (e.g., electronic...

Lindhard formula when the wavevector (the reciprocal of the length-scale of interest) is much smaller than the Fermi wavevector, i.e. the long-distance...

an altermagnet are not Kramers degenerate, but instead depend on the wavevector in a spin-dependent way due to the intrinsic crystal symmetry connecting...

\mathbf {r} }u_{n\mathbf {k} }(\mathbf {r} ),} where k is called the wavevector. For each value of k, there are multiple solutions to the Schrödinger...

parameters such as the permittivity or conductivity have dependence on wavevector. Normally such a dependence is assumed to be absent for simplicity, however...

systems. A hole with wavevector k {\displaystyle k} and spin ↑ {\displaystyle \uparrow } is created by removing an electron with a wavevector − k {\displaystyle...

second line is a version of the Bianchi identity (Jacobi identity). A wavevector is a vector which helps describe a wave. Like any vector, it has a magnitude...

{\displaystyle 2\pi } times the wave vector used in crystallography, see wavevector.) The de Broglie equations relate the wavelength λ to the modulus of the...

fact that the wavevector of light is nonzero, and a nonzero wavevector bypasses the symmetry restrictions on the local (zero-wavevector) response. However...

e^{i\left(k_{0}x-\omega _{0}t\right)}} , describes a perfect monochromatic wave with wavevector k0, with peaks and troughs moving at the phase velocity ω 0 / k 0 {\displaystyle...

the equation for the wavevector surface in 1823, and André-Marie Ampère rederived it in 1828. Many others investigated the wavevector surface of the biaxial...

properties of magnetosonic waves are highly dependent on the angle between the wavevector and the equilibrium magnetic field and on the relative importance of fluid...

common expression for the group velocity is obtained by introducing the wavevector k: k = 2 π λ   . {\displaystyle k={\frac {2\pi }{\lambda }}\ .} We notice...

{x} }u_{n,\mathbf {k} }(\mathbf {x} )} where k is a vector (called the wavevector), n is a discrete index (called the band index), and un,k is a function...

completing a doctoral dissertation, titled "Infrared properties of metals and wavevector dependent local field effects", under the supervision of Stephen E. Schnatterly...

incident wavevector of k 0 {\displaystyle \mathbf {k} _{0}} , as in Figure 6 and above. The excitation error comes in as the outgoing wavevector k {\displaystyle...

ω TO {\displaystyle \omega _{\text{TO}}} ) for long wavelengths (zero wavevector). The ratio is that of the static permittivity ε st {\displaystyle \varepsilon...

and wavevector of a free particle are proportional to each other. In this context, when it is unambiguous, the terms "momentum" and "wavevector" are...

Lindhard formula when the wavevector (the reciprocal of the length-scale of interest) is much smaller than the Fermi wavevector, i.e. the long-distance...

we find: Eq. 4b indicates that D is orthogonal to the direction of the wavevector k, even though that is no longer generally true for E as would be the...

Ridged mirror. The wave with wavevector   K →   {\displaystyle ~{\vec {K}}~} is scattered at ridges separated by distance   L   {\displaystyle ~L~}...

^{2}\mathbf {k} ^{2}}{2m^{*}}}} where E(k) is the energy of an electron at wavevector k in that band, E0 is a constant giving the edge of energy of that band...

given incident wavevector k0 the only wavevectors with the same energy lie on the surface of a sphere. In the diagram, the wavevector k1 lies on the Ewald...

=\hbar \mathbf {k} \,,} where ω is the angular frequency and k is the wavevector with magnitude |k| = k, equal to the wave number, the energy–momentum...

{\displaystyle \theta } here is the angle between the incident wavevector and the scattered wavevector, which is different from the θ {\displaystyle \theta }...

wavevector is just an approximation. However, it is not energetically possible for an electron within or on a Fermi surface to respond at wavevectors...

2\pi /k_{\text{F}}} , where k F {\displaystyle k_{\text{F}}} is Fermi wavevector of the conducting material, Ohm's law does not hold anymore. These small...

the incoming radiation. (In wave optics, the latter is the k-vector, or wavevector, of the incoming wave.) When reflection is specular, as it is for a mirror...

relation is: E ( q ) = ℏ v F q {\displaystyle E(q)=\hbar v_{F}q} where the wavevector q is measured from the Brillouin zone vertex K, q = | k − K | {\displaystyle...

{\displaystyle n} is a band index, k {\displaystyle \mathbf {k} } is a wavevector in the reciprocal-space (Brillouin zone), and u n k ( r ) {\displaystyle...

}}n(\lambda )} is the wavevector of the light inside the cavity, k 0 {\displaystyle k_{0}} and λ {\displaystyle \lambda } are the wavevector and wavelength in...

f(x+P)=e^{ikP}f(x)~,} where k {\displaystyle k} is a real or complex number (the Bloch wavevector or Floquet exponent). Functions of this form are sometimes called Bloch-periodic...

Sommerfeld-Zenneck wave, where the dispersion relation (relation between frequency and wavevector) is the same as in free space. At a higher frequency, the dispersion relation...

Both of these depend upon the energy, which in turn connects to the wavevector and the relativistic formulation of Albert Einstein a few years before...

3 {\displaystyle k_{\text{F}}=(3\pi ^{2}n)^{1/3}} , called the Fermi wavevector, is the radius of the Fermi sphere. n {\displaystyle n} is the electron...

plane waves; these are sinusoidal waves of one particular direction (or wavevector), frequency, phase, and polarization state. Characterizing an optical...

form a rhombus. Each G {\displaystyle \mathbf {G} } is by definition the wavevector of a plane wave in the Fourier series of a spatial function which periodicity...

means of the energy spectrum function E(k), where k is the modulus of the wavevector corresponding to some harmonics in a Fourier representation of the flow...

(non-smooth point) in the density of states (DOS) of a crystalline solid. The wavevectors at which Van Hove singularities occur are often referred to as critical...

containing the reciprocal lattice of a spatial lattice Momentum space, or wavevector space, the vector space of possible values of momentum for a particle...

{\displaystyle c} , for example a sine wave of amplitude a {\displaystyle a} and wavevector q = 2 π / λ {\displaystyle q=2\pi /\lambda } , for λ {\displaystyle \lambda...

=\hbar \mathbf {k} \,,} where ω is the angular frequency and k is the wavevector with magnitude |k| = k, equal to the wave number. Divide by ℏ {\displaystyle...

phase-matching, through an additional momentum contribution corresponding to the wavevector of the periodic structure. Consequently, in principle any three-wave mixing...

detector. Inelastic neutron scattering observes the change in the energy and wavevector of the neutron as it scatters from a sample. This can be used to probe...

{\displaystyle \eta _{ab}} . Closely related to the four-frequency is the four-wavevector defined by K a = ( ω c , k ) {\displaystyle K^{a}=\left({\frac {\omega...

deflecting traveling rays or waves. Sudden and significant momentum or wavevector changes are absent, but accumulated small changes can lead to large momentum...

allowed to have arbitrarily large values or a reduced-zone scheme where wavevectors are shown modulo 2 π a {\textstyle {\frac {2\pi }{a}}} (in the 1-dimensional...

are the angular frequency and wavevector of the photon, respectively. While the phonon angular frequency and wavevector are Ω and q. The subscripts i...

where k s {\displaystyle \mathbf {k} _{s}} represents a 2-dimensional wavevector. Now, let's take a look at the relation between input and output wave...

the dispersion relation of a phonon branch in a metal. For a specific wavevector, the frequency (and thus the energy) of the associated phonon is considerably...

is also called the scattering vector as it describes the transfer of wavevector in wave mechanics. In the simplest example of scattering of two colliding...

=\omega (\mathbf {k} ),} where ω is the angular frequency, and k is the wavevector describing plane-wave solutions. For light waves, the dispersion relation...

{\displaystyle k_{x,inc}={\frac {\omega }{c}}\sin \theta } is the transverse wavevector of a plane wave with an angle of incidence θ {\displaystyle \theta } ...

n_{y}}={\frac {\hbar ^{2}k_{n_{x},n_{y}}^{2}}{2m}},} where the two-dimensional wavevector is given by k n x , n y = k n x x ^ + k n y y ^ = n x π L x x ^ + n y...

that wavevector will propagate in the opposite direction, from B to A, even if material B has a large population of phonons with that wavevector. Thus...

non-local response of the medium to the space; this can be reworded as the wavevector dependence of the permittivity. For an exemplary anisotropic medium, the...

relations. The dispersion relation for phonons is to first order linear in wavevector k, namely ώ = ck, where ω is frequency, and c is the velocity of sound...

operator for the impurity, k {\displaystyle k} is the conduction electron wavevector, and σ {\displaystyle \sigma } labels the spin. The on–site Coulomb repulsion...

technique was introduced in 2008 by Cerbino & Trappe as a way to probe wavevector-resolved dynamics of colloidal particles using a microscope equipped with...

of a rigid rotor, in quantum mechanics wavenumber, or magnitude of a wavevector, in spectroscopy density of a linear feature in hydrology and other fields;...

centered on the sample surface with a radius equal to the magnitude of the wavevector of the incident electrons, k i = 2 π λ {\displaystyle k_{i}={\frac {2\pi...

{\begin{aligned}|n-1|&\ll 1\\kd|n-1|&\ll 1\end{aligned}}} where k {\textstyle k} is the wavevector of the light ( k = 2 π λ {\textstyle k={\frac {2\pi }{\lambda }}} ), and...

0}} is the phase shift of the particle displacement, k is the angular wavevector, ω is the angular frequency. It follows that the particle velocity and...

particle displacement; k {\displaystyle \mathbf {k} } is the angular wavevector; ω {\displaystyle \omega } is the angular frequency. It follows that the...

{\hat {\mathbf {B} }}_{\mathbf {k} }} is the Fourier coefficient at the wavevector k {\displaystyle {\mathbf {k} }} of the magnetic field B {\displaystyle...

frequencies. In this case, the crystal itself provides the additional wavevector k = 2π/Λ (and hence momentum) to satisfy the phase-matching condition...

{\displaystyle s=1} . Vk is the volume in k-space whose wavevectors are smaller than the smallest possible wavevectors decided by the characteristic spacing of the...

Potassium, symbol K, a chemical element k, angular wavenumber of a wave k, wavevector of a wave K, the symbol that represents a kaon in particle physics k,...

perturbation wavevector k {\displaystyle \mathbf {k} } , has three modes: the interchange instability where the perturbation wavevector is perpendicular...

customary to rewrite the Hamiltonian in terms of the normal modes of the wavevector rather than in terms of the particle coordinates so that one can work...

photon. Consider a photon of frequency ω {\displaystyle \omega } and wavevector q {\displaystyle {\textbf {q}}} , where the light dispersion relation...

Q ′ = Q 2 − Q C 2 {\displaystyle Q'={\sqrt {Q^{2}-Q_{C}^{2}}}} is the wavevector inside the material, Q c = 4 π sin ⁡ ( θ c ) / λ {\displaystyle Q_{c}=4\pi...

metal would be unstable to the formation of energy gaps at the Fermi wavevectors ±kF, which reduce the energies of the filled electronic states at ±kF...

)\right]dk_{\rho },} where k ρ {\displaystyle k_{\rho }} is the component of the wavevector parallel to the surface of the half-space. Further, τ ^ α ( ω ) = { (...

r)} is the probability that a particular conduction-band state, with wavevector k and position r, is occupied by an electron, f v ( k , r ) {\displaystyle...

{F}}} and v F {\displaystyle v_{\rm {F}}} are respectively the Fermi wavevector and the Fermi velocity, and ℏ {\displaystyle \hbar } is the reduced Planck...

character is no longer preserved. Only high up in the miniband (for wavevectors well beyond 2 π / d {\displaystyle 2\pi /d} ) is the top actually 'sensed'...

gap-plasmon is slowed by the metal and its effective index (as well as its wavevector) increases, while its effective wavelength shrinks. Devices based on gap-plasmon...

distance per unit time: the first time derivative of position m/s L T−1 wavevector k→ Repetency or spatial frequency vector: the number of cycles per unit...

components, giving extreme anisotropy. The material's dispersion relation in wavevector space forms a hyperboloid and therefore it is called a hyperbolic metamaterial...

{e_{z}}}} is the unit vector in z-direction) is the projection of the wavevector of the light field acting on the ion on the z {\displaystyle z} -direction...

frequencies, traveling in a direction given by the sum of the incident beams' wavevectors. The technique was developed in 1987 by Yuen-Ron Shen and his students...

reciprocal wavevector, describe the same state (or sets of states). The set of all quasimomenta that are not equivalent up to a reciprocal wavevector is called...

transferred to material fluidic solutions where fluid motion is parallel to the wavevector. The computations then show that coordinate transformations can be applied...

{p^{2}}{mk_{\text{B}}}},} where k is the magnitude of the wavevector of the photon, m is the mass of the atom, kB is the Boltzmann constant...

where k {\displaystyle \mathbf {k} } is the wavevector of the plane wave and k {\displaystyle k} the wavevector magnitude. Inserting this expression in the...

plasma flow. However, irregularities were only observed when the radar wavevector was perpendicular to the magnetic field in the scattering region. This...

{\displaystyle t} is the time, k {\displaystyle \mathbf {k} } is the perturbation wavevector and σ {\displaystyle \sigma } is the temporal growth rate of the disturbance...

particle displacement; k {\displaystyle \mathbf {k} } is the angular wavevector; ω {\displaystyle \omega } is the angular frequency. It follows that the...

{\displaystyle {q_{3}\pi \over d_{3}}} , which are the magnitudes of the wavevectors in each dimension. QFETs orchestrated with quantum wires similarly confine...

The exciton as a quasiparticle is characterized by the momentum (or wavevector K) describing free propagation of the electron-hole pair as a composite...

{\displaystyle {\mathbf {k}}} and m e ∗ {\displaystyle m_{e}^{*}} represent the wavevector and the effective mass of the electron, respectively, while W {\displaystyle...

relations P = (E/c, p) is the four-momentum, K = (ω/c, k) is the four-wavevector, E = energy of particle ω = 2πf is the angular frequency and frequency...

Since the incident neutron beam is refracted by each of the layers the wavevector k, in layer n, is given by: k n = k z 2 − 4 π ( ρ n − ρ 0 ) {\displaystyle...

from the initial momentum, where k {\displaystyle \mathbf {k} } is the wavevector of the laser. This superposition is due to the energy and momentum exchanged...

{\displaystyle N} is equivalent to a dimensional analysis with respect to the wavevector k {\displaystyle k} , with all coupling constants occurring in the Lagrangian...

→ = ( c t , x → ) {\displaystyle {\vec {x}}=(ct,{\vec {x}})} The four-wavevector 2 π ν n ^ = ( ω c , 2 π ν n ^ ) {\displaystyle 2\pi \nu {\hat {n}}=\left({\frac...

|=|\mathbf {k_{0}} |=2\pi /\lambda } ) are the scattered and incident beam wavevectors, and θ {\displaystyle \theta } is the angle between them. For elastic...

_{\bar {q}}={\frac {1}{V}}H_{\bar {q}}\;\;(7)} where k' is the final state wavevector of which there is only one value since the defect density is small enough...

reversed. The refractive index is a derived quantity that describes how the wavevector is related to the optical frequency and propagation direction of the light;...

the vector points parallel and perpendicular to the direction of the wavevector, respectively. The parallel component can be expressed as the gradient...

configurations that satisfies Bragg Condition: If the incident beam's wavevector's component on the sound wave's propagation direction goes against the...

equation for the wavevector surface in 1823, and André-Marie Ampère rederived it in 1828. William Rowan Hamilton discovered the wavevector surface has four...

magnitude of 2 ℏ k {\displaystyle 2\hbar k} where k {\displaystyle k} is the wavevector of the light forming the standing wave pattern. Although the original...

the atom-cooling transition and k {\displaystyle k} is the norm of its wavevector. As a thermal atom at room temperature has many thousands of times the...

free-space radiation such that the out-of-plane component of the SPP wavevector is purely imaginary and exhibits evanescent decay. The surface plasma...

{\displaystyle t} is the time, k {\displaystyle \mathbf {k} } is the wavevector of the disturbance and σ {\displaystyle \sigma } is the temporal growth...

inelastic scattering process is described as a phonon of energy ΔE = ℏω and wavevector q. The vibrational modes of the lattice can then be described by the dispersion...

}He^{i\mathbf {k} \cdot \mathbf {r} }} is the effective Hamiltonian at wavevector k, and u n k ( r ) = e − i k ⋅ r ψ n k ( r ) {\displaystyle u_{n\mathbf...

there are the usual Friedel oscillations in the charge density, at a wavevector of 2 k F {\displaystyle 2k_{\text{F}}} . However, in contrast to the Fermi...

pockets at H. These large parallel regions can be spanned by the nesting wavevector q {\displaystyle q} shown in red. The real-space periodicity of the resulting...

P^{\mu }=\mathbf {P} =\left({\frac {E}{c}},{\vec {\mathbf {p} }}\right)} 4-wavevector K μ = K = ( ω c , k → ) {\displaystyle K^{\mu }=\mathbf {K} =\left({\frac...

functions, which are solutions of scalar Helmholtz equation with the wavevector k {\displaystyle \mathbf {k} } . ψ e m n = cos ⁡ m φ P n m ( cos ⁡ ϑ )...

Scattering angle A = 2 (spin-0), −1 (spin-half particles) Δk = change in wavevector due to scattering V = total interaction potential V = total interaction...

_{recoil}={\frac {\hbar ^{2}k^{2}}{2m}},} where k {\displaystyle k} is the wavevector of the ODT light ( k ≠ k 0 {\displaystyle k\neq k_{0}} when detuned)....

generation in the gas phase. In free-focusing geometry, the four causes of wavevector mismatch are: neutral dispersion, plasma dispersion, Gouy phase, and dipole...

with the excitonic states of all dipoles oscillating in the same phase (wavevector k = 0) is lowered in energy compared to the monomers. This shift from...

E ( k ) = ℏ v F k {\displaystyle E(k)=\hbar v_{\text{F}}k} where the wavevector k = k x 2 + k y 2 {\displaystyle \textstyle k={\sqrt {k_{x}^{2}+k_{y}^{2}}}}...

can take on highly unusual characteristics. Namely, the fact that the wavevector and the Poynting vector of a wave propagating in a NIM are counter-directed...

mechanics arguments in the Fock basis, the mean photon number of a mode with wavevector k and polarization state s for a black body at temperature T is known...

(perpendicular) components of the EM field which radiate the material, that is the wavevector components kx and ky, are decoupled from the longitudinal component kz...

d | n − 1 | ≪ 1 {\displaystyle kd|n-1|\ll 1} k {\textstyle k} is the wavevector of the light ( k = 2 π λ {\textstyle k={\frac {2\pi }{\lambda }}} ), whereas...

or step edges, are measured by an STM tip at a given bias voltage. The wavevector versus bias (energy) of the surface state electrons can be fit to a free-electron...

Nikolay I. (2019-01-03). ""Plasmonics" in free space: observation of giant wavevectors, vortices, and energy backflow in superoscillatory optical fields". Light:...

four-wave mixing experiment, and the wavevector of the signal will be the sum of the three incident wavevectors used in the pulse sequence. Multidimensional...

dimensions. "Stealthy" means that there is zero scattering for a range of wavevectors around the origin. A singular feature of such systems is that dimensionality...

{\displaystyle \lambda } is the wavelength and k {\displaystyle k} is the wavevector. Travelling vortices in quantum fluids can interact with each other, resulting...

with the wavelength of the incident light, and the value of the in-plane wavevector component. This can be exploited as a means of transducing chemical binding...

the equation for the wavevector surface in 1823, and André-Marie Ampère rederived it in 1828. Many others investigated the wavevector surface of the biaxial...

conventional to use a band diagram. In a band diagram the x-axis is changed from wavevector k in band structure diagrams to position x in the preferred direction...

{\vec {E}}} When the magnetization is perpendicular to the propagation wavevector, on the contrary to the Kerr effect, E → {\displaystyle {\vec {E}}} may...

eigenvalue Ee(κe), is the electron energy (κe: electron wavevector). The relation between wavevector, κe and energy Ee provides the electronic band structure...

scattering theory (MST) could be used to find the energy as a function of wavevector for electrons in a periodic solid. In 1954, Walter Kohn (a Nobel laureate)...

proportional to the acoustic pressure; ka is the magnitude of the acoustic wavevector; lt' is the optical transport mean free path; η is the elasto-optical...

{\displaystyle {\vec {k}}} and l → {\displaystyle {\vec {l}}} are the wavevectors of the fields, k + = k 0 + k 3 {\displaystyle k^{+}=k_{0}+k_{3}} and...

typically achieved by requiring the fundamental and second harmonic wavevectors to overlap throughout the crystal length, L. However, in a GRENOUILLE...

produce rich diffraction patterns with many permissible reflections at low wavevectors ( q {\displaystyle q} ). The A15 phase is identified by peaks at ratios...