fields inside a dielectric sphere with Ohm losses will follow, to some extent, the spatial behaviour of the relevant natural modes of the sphere, volume and surface ones. It is obvious that due to excitation of surface modes the maximum values of electric and magnetic fields inside dissipative sphere will be shifted to its outer part $r> a/2$.

When assuming the total number of the surface modes to be the same as those for the volume modes and consequently it is equal to a half of all the dielectric sphere modes, then one can anticipate that the temperature rise in the head tissues close to head surface may be by a factor 1.5 higher in comparison with the standard calculations using the numerical methods without special allowance for the spatial behaviour of the relevant natural modes.

However the numerical methods used for estimation of the temperature rise in human tissues due to the radio frequency irradiation do not take into account this effect. Indeed, such calculations (see, for example, paper [@WF]) are carried out in two steps. First the electric and magnetic fields inside the human body are calculated by solving the Maxwell equations with a given source (antenna of 