A study of two-dimensional cylinders illuminated by TE polarized microwaves using the k-space algorithm

One comparison of the numerical modeling techniques applied to the absorption of electromagnetic energy by organic tissues is that of D.T. Borup et al. (IEEE Transaction and Microwave Theory and Techniques, vol.T-MTT-35, p.383-395, 1987) that compared the fast Fourier transform-conjugate-gradient method (FFT-CGM) with the finite-element-time-domain methods. The authors expand and elaborate the findings of Borup et al. (BSG) for the case of TE-polarized illumination. The solution technique in this comparison, which is referred as the k-space algorithm, differs in (at least) two ways from the FFT-CGM employed in the BSG study. First, all of the integrals arising from the application of the method of moments formalism are transformed to line integrals along the cell boundaries. Seconds, the system of linear equations arising from the application of the method of moments is solved by iterated minimization of the squared error using several variational functions. Considering TE polarization of the illuminating plane wave, the effect of increasing the number of points in the mesh on the convergence of the solution is presented.<>