The Cylindrical Taylor-Interpolation FFT Algorithm

The cylindrical Taylor-interpolation FFT (TI-FFT) algorithm for the computation of the near-field and far-field in the "quasi-cylindrical" geometry has been developed. The cylindrical modal expansion of the vector potential is shown to be in the form that can make use of the cylindrical TI-FFT. The near-field on an arbitrary cylindrical surface is obtained from the vector potential and through the inverse FFT (IFFT). The far-field is obtained through the near-field far-field (NF-FF) transform. The cylindrical TI-FFT is valuable for back-scattering problems and "quasi-cylindrical" geometry. Like the planar TI-FFT algorithm, the cylindrical TI-FFT algorithm also has advantages of a N² log₂ N² computational complexity, a low sampling rate, no basis functions and free of singularity problems.