Abstract-In this paper, new circuit models are used to calculate the induced fields in biological media exposed to an incident plane wave in the two-dimensional cases. These models represent the induced fields in the medium using the lossy long transmission line model [1]. The voltages and currents in the circuit model simulate the electric and magnetic fields in the medium. The response of the medium to the incident wave is represented by equivalent conduction and polarization current sources in the medium. These currents are used as the excitation sources in the circuit model from which the required induced fields are obtained. An accurate absorbing impedance boundary condition for open boundaries is used which considerably reduces the matrix dimensions. The validity of these models is tested in the problem of absorption of E-and H-waves by biological multilayered cylinders. Results are compared with available analytical and numerical solutions.

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SUMMARYThis paper presents a two-dimensional frequency domain model for analyzing resonant structures. In this model, the transverse waves in the waveguide cross-section at any point are simulated by superposition of two waves in two perpendicular directions. The relationships between the physical wave parameters and the model parameters are derived. Results for cutoff wave numbers of homogeneous arbitrarily shaped cylindrical waveguides are given to test the validity of the model. These results are compared with available analytical solutions and results given by other published methods. The model proves to give good treatment for boundary conditions and accurate results with smaller matrix size in comparison with other numerical methods.