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228   Computational Modeling in Biomedical Engineering and Medical Physics













































                Figure 7.4 Assessment of operational characteristics for three magnetic applicator coils (Morega,
                2000). (A) Concentrated coil. (B) Double coil (figure of eight shape). (C) Quadruple coil (flower-like
                shape). AF, Activating function.

                   The superiority of the quadruple coil is evident, for the following criteria: the best
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                focalization F 5 6.25 3 10  m , the same as for the double coil but half compared
                with the single coil, and the highest efficiency, with ER 5 2.08, compared with 1
                for the other two configurations. The negative peak of AF is located at the cross-
                section of its symmetry axes (x 5 0, y 5 0 in the considered coordinate system) that
                ensures more precision and safety to the procedure. It is expected that quadruple coils
                with an eccentric position of turns could better concentrate AF at the intersection of
                their axes of symmetry, as Zhang and Edrich (1996) illustrates with eccentric, yet con-
                centrated coils. They also suggest a different problem that occurs in MS: the uneven
                distribution of AF in the depth of the tissue (z-axis direction). For horizontal turns,
                the peak values of AF are maxim at the skin surface and decrease (approximately
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