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Inhomogeneous electromagnetic wave equation : ウィキペディア英語版
Inhomogeneous electromagnetic wave equation

In electromagnetism and applications, an inhomogeneous electromagnetic wave equation, or nonhomogeneous electromagnetic wave equation, is one of a set of wave equations describing the propagation of electromagnetic waves generated by nonzero source charges and currents. The source terms in the wave equations makes the partial differential equations ''inhomogeneous'', if the source terms are zero the equations reduce to the homogeneous electromagnetic wave equations. The equations follow from Maxwell's equations.
== Maxwell's equations ==

For reference, Maxwell's equations are summarized below in SI units and Gaussian units. They govern the electric field E and magnetic field B due to a source charge density ''ρ'' and current density J:
:
|\nabla \cdot \mathbf = 4\pi\rho
|-
! scope="row" | Gauss's law for magnetism
| \nabla \cdot \mathbf = 0
| \nabla \cdot \mathbf = 0
|-
! scope="row" | Maxwell–Faraday equation (Faraday's law of induction)
|\nabla \times \mathbf = -\frac
| \nabla \times \mathbf = -\frac \frac
|-
! scope="row" | Ampère's circuital law (with Maxwell's addition)
| \nabla \times \mathbf = \mu_0\left(\mathbf + \varepsilon_0 \frac \right)
|\nabla \times \mathbf = \frac \left(4\pi\mathbf + \frac \right)
|-
|}
where ''ε''0 is the vacuum permittivity and ''μ''0 is the vacuum permeability. Throughout, we also use the relation between ''ε''0 and ''μ''0 and the speed of light ''c'', namely:
:\varepsilon_0\mu_0 = \dfrac\,.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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