In physics and mathematics, the solid harmonics are solutions of the Laplace equation in spherical polar coordinates, assumed to be (smooth) functions...

fields. The table of spherical harmonics contains a list of common spherical harmonics. Since the spherical harmonics form a complete set of orthogonal...

R_{L}^{M}} are irregular and regular solid harmonics, respectively. The translation of the regular solid harmonic gives a finite expansion, R L M ( r A...

} where the fℓm are constants and the factors rℓ Yℓm are known as solid harmonics. Such an expansion is valid in the ball r < R = 1 lim sup ℓ → ∞ | f...

will emit the high harmonics of the generation beam (above the fifth harmonic). Due to the coherent nature of the process, high-harmonics generation is a...

In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are...

often partially replaced by cubic harmonics for a number of reasons. These harmonics are usually named tesseral harmonics in the field of condensed matter...

that of the mass quadrupole. Multipole expansion Multipole moments Solid harmonics Axial multipole moments Cylindrical multipole moments Spherical multipole...

more exotic engines, does not suffer from the excessive harmonics and therefore may use a solid undampened device. Modern (roughly 1988+) DOHC, SOHC Flat...

moment Dynamic toroidal dipole Multipole expansion Multipole moments Solid harmonics Axial multipole moments Cylindrical multipole moments Spherical multipole...

The Einstein solid is a model of a crystalline solid that contains a large number of independent three-dimensional quantum harmonic oscillators of the...

Monopole Solid harmonics Axial multipole moments Cylindrical multipole moments Spherical multipole moments Laplace expansion Molecular solid Magnetic...

"Detection of order–disorder transition in organic solids by using temperature resolved second harmonic generation (TR-SHG)". Journal of Molecular Structure...

}^{m}} is a normalized spherical harmonic function. The expansion takes a simpler form when written in terms of solid harmonics, 1 ‖ r − r ′ ‖ = ∑ ℓ = 0 ∞ ∑...

multipole moments are defined as the complex conjugate of irregular solid harmonics I ℓ m   = d e f   q ( r ′ ) ℓ + 1 4 π 2 ℓ + 1 Y ℓ m ∗ ( θ ′ , ϕ ′ )...

The quasi-harmonic approximation is a phonon-based model of solid-state physics used to describe volume-dependent thermal effects, such as the thermal...

of harmonics produced depend on the response function f: When the response function is even, the resulting signal will consist of only even harmonics of...

output will only contain even harmonics. This is because the currents which would generate the fundamental and the odd harmonics in this circuit are canceled...

majority of the harmonics energy is concentrated in the lower order harmonics. Meanwhile, for the PWM strategy, the energy of the harmonics lie in higher-frequencies...

happen: the signal at higher harmonics will be very low, and requires very intense lasers to be generated. To generate high harmonics (like n = 30 {\displaystyle...

A diode-pumped solid-state laser (DPSSL) is a solid-state laser made by pumping a solid gain medium, for example, a ruby or a neodymium-doped YAG crystal...

1090/s0002-9947-1936-1501884-1. MR 1501884. Szegő, G. (1940). "On the gradient of solid harmonic polynomials". Trans. Amer. Math. Soc. 47: 51–65. doi:10.1090/s0002-9947-1940-0000847-6...

Einstein photoelectron model, which treats the solid as many individual, non-interacting quantum harmonic oscillators. The Debye model correctly predicts...

has 12 pentagram faces with the central pentagonal part hidden inside the solid. The visible parts of each face comprise five isosceles triangles which...

polymer electrolytic capacitor, is an electrolytic capacitor (e-cap) with a solid conductive polymer electrolyte. There are four different types: Polymer...

Solid State Logic (SSL) is a British company based in Begbroke, Oxfordshire, England that designs and markets audio mixing consoles, signal processors...

pedal Electric pipa Electromagnetic induction Electronic tuner Guitar harmonics Guitar synthesizer Guitar amplifier Keytar List of guitars List of guitarists...

expansion Spherical multipole moments Cylindrical multipole moments Solid harmonics Laplace expansion Eyges, Leonard (2012-06-11). The Classical Electromagnetic...

the rhombicosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon...

produce a monotonically decaying harmonic distortion spectrum.[clarification needed] Even-order harmonics and odd-order harmonics are both natural number multiples...