In physics, the plane-wave expansion expresses a plane wave as a linear combination of spherical waves: e i k ⋅ r = ∑ ℓ = 0 ∞ ( 2 ℓ + 1 ) i ℓ j ℓ ( k r...

physics, a plane wave is a special case of a wave or field: a physical quantity whose value, at any given moment, is constant through any plane that is perpendicular...

sinusoidal plane wave is a special case of plane wave: a field whose value varies as a sinusoidal function of time and of the distance from some fixed plane. It...

amplitudes on the surface of the scatterers. Bloch wave - MoM is similar in principle to the plane wave expansion method, but since it additionally employs the...

Plane wave expansion method (PWE) refers to a computational technique in electromagnetics to solve the Maxwell's equations by formulating an eigenvalue...

expansion, also known as the Weyl identity or angular spectrum expansion, expresses an outgoing spherical wave as a linear combination of plane waves...

It is useful in physics (for example, to convert between plane waves and cylindrical waves), and in signal processing (to describe FM signals). This...

dispersion method also exploited plane wave expansion but formulates Maxwell's equation as an eigenproblem for the wave vector k while the frequency ω {\displaystyle...

is the probability amplitude of the outgoing spherical wave relative to the incoming plane wave in a stationary-state scattering process. Scattering in...

assumed to take the form of a plane wave of wave number k, which can be decomposed into partial waves using the plane-wave expansion in terms of spherical Bessel...

}}{\omega _{s}}}={\frac {1}{\gamma (1-0)}}={\frac {1}{\gamma }}} Plane-wave expansion Plane of incidence Physics example: Harris, Benenson, Stöcker (2002)...

can refer to: Pete Waterman Entertainment, a British record label Plane wave expansion method, an analytical procedure used in physics Political Warfare...

example is the waves that are created on the membrane of a drum. The waves propagate in directions that are parallel to the membrane plane, but each point...

[S_{i},L_{j}]=0} . After the plane-wave expansion, the photon spin can be re-expressed in a simple and intuitive form in the wave-vector space S = ℏ ∫ d 3...

Holographic Interferometry, 2004, Wiley-VCH In-plane vibrations of a rectangular plate: Plane wave expansion modelling and experiment, A.Arreola-Lucas, J...

physical waves in finite domains. A plane wave is an important mathematical idealization where the disturbance is identical along any (infinite) plane normal...

The linearized augmented-plane-wave method (LAPW) is an implementation of Kohn-Sham density functional theory (DFT) adapted to periodic materials. It typically...

increased expansion may be achieved through an expansion fan, also known as a Prandtl–Meyer expansion fan. The accompanying expansion wave may approach...

These plane wave solutions form a basis for the Fourier components of ψ ( x ) {\displaystyle \psi (x)} , allowing for the general expansion of the wave function...

source, when they can be considered plane waves in the region of interest, the first kind consists of expansions and compressions in the direction perpendicular...

relativity, the monochromatic electromagnetic plane wave spacetime is the analog of the monochromatic plane waves known from Maxwell's theory. The precise...

the Stokes expansion – obtained approximate solutions for nonlinear wave motion. Stokes's wave theory is of direct practical use for waves on intermediate...

use the Weyl (chiral) representation for the Dirac matrices. The plane wave expansion is ψ ( x ) = ∫ d 3 p ( 2 π ) 3 2 E ∑ λ = 0 3 ( a ^ p , λ ϵ λ ( p...

{\displaystyle z_{n}} are spherical Bessel functions, with help of plane wave expansion one can obtain the following integral relations: N p m n ( 1 ) (...

wavelength is large compared to the water depth – the Stokes expansion is more appropriate for short waves (when the wavelength is of the same order as the water...

plane defined by a unit normal vector n = k k . {\displaystyle \mathbf {n} ={\mathbf {k} \over k}.} Then planar traveling wave solutions of the wave equations...

A seismic wave is a mechanical wave of acoustic energy that travels through the Earth or another planetary body. It can result from an earthquake (or...

approach), which is the usual choice within the quantum chemistry community; plane waves which are typically used within the solid state community, or real-space...

(two-way) wave equation can be quite complicated. Still, it can be analyzed as a linear combination of simple solutions that are sinusoidal plane waves with...

the Schrödinger equation in a periodic potential can be expressed as plane waves modulated by periodic functions. The theorem is named after the Swiss...