Covariant formulation
Electrodynamics can also be expressed in a covarinat formulaltion. In this case the objects of interest would be 4-vectors and tensors. This package provides a convenience function for computing the electromagnetic tensor $F$ from the corresponding electric and magnetic fields for a given laser type.
LaserTypes.Fμν — MethodFμν(x, laser)Compute the electromagnetic tensor $F$ in covarinat matrix form at the spacetime 4-vector specified by x. The $x = (x^0 ≡ ct, x^1, x^2, x^3)$ convention is used.
\[F^{μν} = \left[\begin{array}{cccc} 0 & -E_x / c & -E_y / c & -E_z / c \\ E_x / c & 0 & -B_z & B_y \\ E_y / c & B_z & 0 & -B_x \\ E_z / c & -B_y & B_z & 0 \end{array}\right]\]