The essential result of the theory is that conditions for a highly inhomogeneous microwave magnetic field are formed in the microstrip broadband FMR geometry due to microwave screening by eddy currents in conducting samples. Microwave screening in conducting films thinner than the microwave magnetic skin depth [16], hereby referred to as sub-skin depth films ”SSDF”, may strongly affect broadband FMR measurement results. In summary, manifestations of microwave screening for SSDF are as follows: (i) the response of conductive multilayers may strongly depend on layer ordering with respect to the microwave transducer location; (ii) extremely large amplitudes of high order standing spin wave modes can be observed in some multilayers; and (iii) the response of these systems can be strongly frequency dependent. Experimental data presented here are in the full agreement with these predictions. We note that to some extent the driving of SSWM discussed here is similar to efficient excitation of high order FMR modes by the microwave electric field observed by P. Wolf [13]. In both cases, the excitation of SSWM depends upon inhomogeneous fields. In Wolf’s experiment, a conducting film was placed on a hole in a cavity wall. Efficient excitation of the inhomogeneous SSWM resonances was observed and can be understood as follows. The microwave electric field across the hole drives a current in the sample. The current creates a microwave Oersted field which is anti-symmetric across the sample thickness. This field can be approximated by h$_{x}$ ( y ) ∝ y/L − 0 . 5. This highly inhomogeneous magnetic field efficiently excites the SSWM resonances. Importantly, this experiment clearly demonstrates that magnetisation precession is driven by the total microwave magnetic field to which microwave currents in the sample contribute. In Ref.[14] it was noted that an external in-plane microwave magnetic field h e applied to a film medium is necessarily accompanied by an in-plane curling electric field. This electric field should induce a microwave current in the sample whose Oersted field h Oe adds to the external microwave magnetic field. For thick samples one recovers the magnetic skin depth effect and the amplitude of the total field h t = h e + h Oe falls off exponentially with the distance from the sample surface facing the incident field flux. Such a thick film geometry has been discussed in the past [16, 23]. It turns out that effects are striking in the case of thin films also. Indeed, for a thin film with thickness less than the SSDF, the total microwave magnetic field decays more strongly than exponentially. For Py of a thickness larger than 30 nm, in contact with an adjoining 13