**3. Validation with the radiation of a set of magnetic dipoles**

This section presents the verification of the computation method established regarding the radiation of magnetic dipoles shown in Fig. 3 in time-domain. The results were realized by considering the frequency-dependent EM-NF-field directly calculated from predefined analytical formulas (Baum 1971 & 1976, Singaraju & Baum 1976, Balanis 2005). After the analytical description of the considered dipole source and also the mathematical definitions of the H-field expressions in frequency- and time-domains, we will explore the numerical computation with Matlab programming.

Fig. 3. Configuration of the elementary magnetic dipole formed by a circular loop with radius *a* placed at the centre *O*(0,0,0) of the cartesian (*x*,*y*,*z*)-coordinate system

In this figure, the magnetic dipole assumed as a circular wire having radius *a* is positioned at the origin of the system. Then the considered point *M* where the EM-field will be evaluated can be referred either in cartesian coordinate (*x*,*y*,*z*) or in spherical coordinate (*r*,*θ*,*φ*). By assuming that the magnetic loop depicted in Fig. 3 is fed by transient current denoted *i*(*t*), we have the H-field expressions recalled in appendix A (Baum 1971 & 1976, Singaraju & Baum 1976).
