A three-dimensional iterative scheme for an electromagnetic inductive applicator.

An efficient iterative method for solving quasi-static electromagnetic field problems is presented. The electromagnetic field is generated by an inductive applicator and is represented as a superposition of two constituents, viz. a primary field in absence of the tissue configuration and a secondary field generated by the presence of the tissue. Then, for the secondary field a quasi-static approximation is employed. In the quasi-static field equations a relaxation function is introduced, such that the resulting equations can be solved iteratively. For a realistic three-dimensional model of a human hand numerical results are presented.

A three-dimensional iterative scheme for an electromagnetic capacitive applicator.

An efficient iterative method for solving quasi-static electromagnetic field problems is presented. A relaxation function is introduced in the quasi-static field equations. Then, the resulting equations can be solved by iteration. The method is similar to the one of solving a Laplace equation by computing the stationary state of a diffusion equation. Next, for a radially layered configuration the numerical results are compared with the results from an existing integral equation method. Subsequently, for a realistic three-dimensional model of a human knee numerical results are arrived at.

A ring capacitor applicator in hyperthermia: energy distributions in a fat-muscle layered model for different ring electrode configurations.

The energy deposition pattern within a radially layered fat-muscle phantom, diameter 135 mm, heated by a novel ring capacitor applicator has been determined experimentally as well as theoretically. Good to excellent agreement is found between measured and predicted energy distributions. For the specific absorption rate in the muscle tissue the differences are in general smaller than 6%. When the ring electrodes are placed directly on the phantom surface both measured and predicted energy distributions show the presence of superficial hot spots located within the fat layer at the site of the ring electrodes. The theoretical distributions showed that the radial component of the E-field contributes for more than 90% to the energy absorption at the hot spot in the fatty tissue in front of the ring electrodes. Introducing a small air gap (10 mm) between the phantom surface and the ring electrode results in a decrease of the energy absorption within the fatty tissue at the hot spot location by 30%. Further theoretical analysis of the energy distribution within the inhomogeneous model showed that the intensity of the hot spots at the ring electrodes can be controlled by adjustment of the applicator configuration. Independent of the size of the electrode to phantom gap the specific absorption rate values predicted in the fat-muscle model show a more favorable distribution at a frequency of 27.12 MHz than at 13.56 MHz. For a similar electrode to phantom gap the specific absorption rate within the fatty tissue is approximately two times lower at 27.12 than at 13.56 MHz. For the model calculations performed the best ratio of fat to muscle SAR (0.2) is obtained with distilled water as bolus medium in the gap.

A quasi-static model for the ring capacitor applicator.

The electromagnetic heat dissipation in a radially layered biological tissue inside a ring capacitor (RC) applicator has been investigated. A quasi-static model is introduced to compute the relevant electromagnetic field quantities. The method of computation employs the spatial Fourier transform of all field quantities with respect to the axial coordinate. After an iterative solution of a dual boundary value problem for the electric potential and the current density at the electrodes, an inverse Fourier transform is carried out to compute the quantities that are of interest to the deep-body system at hand. Comparison of numerical results with phantom measurements shows excellent agreement.