Fast computation of electromagnetic wave propagation and scattering for quasi-cylindrical geometry

The cylindrical Taylor Interpolation through FFT (TI-FFT) algorithm for computation of the near-field and far-field in the quasi-cylindrical geometry has been introduced. The modal expansion coefficient of the vector potentials F and A within the context of the cylindrical harmonies (TE and TM modes) can be expressed in the closed-form expression through the cylindrical addition theorem. For the quasi-cylindrical geometry, the modal expansion coefficient can be evaluated through FFT with the help of the Taylor Interpolation (TI) technique. The nearfield on any arbitrary cylindrical surface can be obtained through the Inverse Fourier Iransform (IFT). The far-field can be obtained through the Near-Field Far-Field (NF-FF) transform. The cylindrical TI-FFT algorithm has the advantages of O (N log(2) N) computational complexity for N = N-phi x N-z, computational grid, small sampling rate (large sampling spacing) and no singularity problem.