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In the design of computer enclosures, it is very critical to implement some techniques of prediction of radiated fields in relation to cavity resonances and aperture excitation early on. The magnetic field probe based dipole moment method is recommended since it can be implemented without the presence of the actual aperture in the enclosure. It depends upon the magnetic field excitation at the location of the proposed aperture and the polarizability of the aperture which can be calculated given the orientation and the dimensions of the proposed aperture. However the limitation of this method starts when the length of the aperture begins to approach resonance. This paper presents the work done to extend this method to include resonating apertures in conjunction with resonating enclosures.