EM solver vs formulas for antenna radiation resistance

Has anyone compared results from an EM solver and values obtained from the widely known formulas (say, for a short dipole)?
These formulas are based on Lorentz gauge, which has no physical justification. So the question is: do they agree at least in the order of magnitude with the results from EM solvers or with experimental results?

Hi,

I have done something on printed half-wave dipole's radiation resistance. Comparision between the simulation based and formula based results agreed well at low freq.

But when it comes to high freq on substrated of high permittivity, like 60 GHz, because we still do not have formula for this condition. The former formula do not apply well here.

But for the fumula about far-field radiation, like array factors and pattern, they are much frequency independent.

That's all that I know. For radiation resistance of printed dipole, the formula do not apply at high freq. But for array factor and pattern, they ara still applicable then.

Thanks, shmily. What do you mean by "low frequency"? Is 150 MHz a low frequency for you?

Yes, that's low freq for me.

As for my memory, there are papers about radiation resistance in IEEE explorer, maybe that can help you as reference.