$F\text{:}=\left[\begin{array}{cccc}0& \text{j}{E}_{\text{x}}/c_0& \text{j}{E}_{\text{y}}/c_0& \text{j}{E}_{\text{z}}/c_0\\ -\text{j}{E}_{\text{x}}/c_0& 0& B_{\text{z}}& -B_{\text{y}}\\ -j{E}_{\text{y}}/c_0& -B_{\text{z}}& 0& B_{\text{x}}\\ -\text{j}{E}_{\text{z}}/c_0& B_{\text{y}}& -B_{\text{x}}& 0\end{array}\right]$

where $\overrightarrow{E}=(E_x,E_y,E_z)$ is the electric field strength, $\overrightarrow{B}=(B_x,B_y,B_z)$ is the magnetic flux density, $\text{j}$ is the imaginary unit, and $c_0$ is the speed of light in vacuum

Note 1 to entry: The electromagnetic field tensor is equal to the four-rotation of the electromagnetic four-potential: $F=Rot\underset{\_}{\underset{\_}{A}}$.

Note 2 to entry: The Maxwell equations can be derived from the four-divergence of the electromagnetic field tensor and the four-current density using the Lorenz convention by the relation $DivF=DivRot\underset{\_}{\underset{\_}{\overrightarrow{A}}}=GradDiv\underset{\_}{\underset{\_}{\overrightarrow{A}}}-\square \underset{\_}{\underset{\_}{\overrightarrow{A}}}=-\square \underset{\_}{\underset{\_}{\overrightarrow{A}}}={\text{μ}}_0\underset{\_}{\underset{\_}{\overrightarrow{J}}}$.

Note 3 to entry: The coherent SI unit of electromagnetic field tensor is tesla, $\text{T}=\text{V}\cdot \text{s}\cdot {\text{m}}^{\text{−2}}$.