To measure the field strength you can use circular coil whose winding can have an air core or even ferrite core. The emf induced in the coil will e= N dphi/dt,
phi is the magnetic flux= B A , B is the magnetic induction and A is the cross section area of the coil. B=mu Hwith mu is permeability of the core medium and H is the magnetic field. The electric field E= H zw, zw is is the wave impedance which is a characteristics of the medium.
Field strength meter is actually a simple receiver. After a tuner circuit, the signal is detected and fed to a microammeter, which is scaled in dBμ. The frequency range of the tuner is usually within the terrestrial broadcasting bands. Some FS meters can also receive satellite (TVRO and RRO) frequencies. Most modern FS meters have AF and VF circuits and can be used as standard receivers. Some FS meters are also equipped with printers to record received field strength.