Limitations of Using E to Find B in TEM Waves

[yungman]

I have questions:
1) What is the limitation of using:

$$\vec H ( \vec r, t) =\frac 1 v \nabla \times \vec E(\vec r, t)\;\hbox { where }\; v= \frac 1 {\mu \epsilon}$$

I know for this formula to work, the medium has to be charge free. I want to know in what other cases I cannot use E to find B. I think the E has to be time harmonic wave which mean it is a sine wave of certain frequency $\omega$. Any other limitation?2) What is the limitation of using the formula in finding H of TEM wave in a medium ( lossless, lossy or practical good conductor )?

3) TEM wave only say E and B are perpendicular to each other and both perpendicular to direction of travel. Is plane wave part of the TEM wave?

Thanks

Alan

 

[yungman]

I totally updated my original question in the first post.