Measure of directional electromagnetic energy flux
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In physics, the Poynting vector (or Umov–Poynting vector) represents the directional energy flux (the energy transfer per unit area, per unit time) or power flow of an electromagnetic field. The SI unit of the Poynting vector is the watt per square metre (W/m2); kg/s3 in base SI units. It is named after its discoverer John Henry Poynting who first derived it in 1884.[1]: 132 Nikolay Umov is also credited with formulating the concept.[2] Oliver Heaviside also discovered it independently in the more general form that recognises the freedom of adding the curl of an arbitrary vector field to the definition.[3] The Poynting vector is used throughout electromagnetics in conjunction with Poynting's theorem, the continuity equation expressing conservation of electromagnetic energy, to calculate the power flow in electromagnetic fields.
^Stratton, Julius Adams (1941). Electromagnetic Theory (1st ed.). New York: McGraw-Hill. ISBN 978-0-470-13153-4.
^"Пойнтинга вектор". Физическая энциклопедия (in Russian). Retrieved 2022-02-21.
^Nahin, Paul J. (2002). Oliver Heaviside: The Life, Work, and Times of an Electrical Genius of the Victorian Age. p. 131. ISBN 9780801869099.
In physics, the Poyntingvector (or Umov–Poyntingvector) represents the directional energy flux (the energy transfer per unit area, per unit time) or...
the University of Birmingham until his death. Poynting was the youngest son of Thomas Elford Poynting, a Unitarian minister. He was born at the parsonage...
Poynting may refer to: John Henry Poynting (1852–1914), a British physicist, after whom are named: Poyntingvector, a representation of the energy flux...
electric charge of the test particle. The GEM Poyntingvector compared to the electromagnetic Poyntingvector is given by: The literature does not adopt...
direction of the Poyntingvector. On the other hand, the wave vector points in the direction of phase velocity. In other words, the wave vector points in the...
currents) and the B field (sourced from the secondary currents) forms the Poyntingvector, which points from the primary toward the secondary. "What Separates...
of electromagnetic energy is given by the average Poyntingvector, this means that the Poyntingvector in these regions, as averaged over a complete oscillation...
{e^{i\omega (r/c-t)}}{r}}{\hat {\theta }}.\end{aligned}}} The time-averaged Poyntingvector ⟨ S ⟩ = ( μ 0 p 0 2 ω 4 32 π 2 c ) sin 2 ( θ ) r 2 r ^ {\displaystyle...
and force is a vector (i.e. having both magnitude and direction), so it follows that an electric field may be described by a vector field.: 469–70 The...
In classical electromagnetism, magnetic vector potential (often called A) is the vector quantity defined so that its curl is equal to the magnetic field:...
physicist and mathematician known for discovering the concept of Umov-Poyntingvector and Umov effect. Umov was born in 1846 in Simbirsk (present-day Ulyanovsk)...
stress-energy tensor, a covariant rank-2 tensor which includes the Poyntingvector, Maxwell stress tensor, and electromagnetic energy density. The EM...
per unit area) at any point as the magnitude of the real part of the Poyntingvector, S, which is given by 1 2 E × H ∗ . {\textstyle \ {\frac {1}{2}}\mathbf...
magnetic interaction is described in terms of a vector field, where each point in space is associated with a vector that determines what force a moving charge...
the phase velocity could be made anti-parallel to the direction of Poyntingvector. This is contrary to wave propagation in naturally occurring materials...
\alpha ,} where ⟨ • ⟩ is the time-average; S is the Poyntingvector; α is the angle between a unit vector normal to the surface and S. For a propagating sinusoidal...
defined as a vector (really pseudovector) relating the aligning torque on the object from an externally applied magnetic field to the field vector itself....
rewritten to something that can be interpreted physically, namely the Poyntingvector. Using the product rule and Faraday's law of induction gives ∂ ∂ t...
a unit area of a chosen cross section. The current density vector is defined as a vector whose magnitude is the electric current per cross-sectional...
the vector flux density, a radiometric quantity, is equal to the time-averaged Poyntingvector, an electromagnetic field quantity. Within the vector approach...
electric field is uniform, the electric flux passing through a surface of vector area A is Φ E = E ⋅ A = E A cos θ , {\displaystyle \Phi _{E}=\mathbf {E}...
{A}}={\vec {B}}} ( A → {\displaystyle {\vec {A}}} is a vector potential for the solenoidal vector field B → {\displaystyle {\vec {B}}} ). Note that { d...