>>13220925I tried just going with {\displaystyle \sigma _{ij}\equiv \epsilon _{0}\left(E_{i}E_{j}-{\frac {1}{2}}\delta _{ij}E^{2}\right)+{\frac {1}{\mu _{0}}}\left(B_{i}B_{j}-{\frac {1}{2}}\delta _{ij}B^{2}\right).} route replacing Eiand Ej with the polar component E*rhat but then I end up getting
eE^2 Diag(1,-1,-1) and as the tensor and the z component comes out negative of the answer obtained the normal way so I figured the polar form of the Maxwell stress tensor I used must be incorrect.