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The cylindrical Taylor Interpolation through FFT (TI-FFT) algorithm forcomputation of the near-field and far-field in the quasi-cylindrical geometryhas been introduced. The modal expansion coefficient of the vector potentials${\bf F}$ and ${\bf A}$ within the context of the cylindrical harmonics (TE andTM modes) can be expressed in the closed-form expression through thecylindrical addition theorem. For the quasi-cylindrical geometry, the modalexpansion coefficient can be evaluated through FFT with the help of the TaylorInterpolation (TI) technique. The near-field on any arbitrary cylindricalsurface can be obtained through the Inverse Fourier Transform (IFT). Thefar-field can be obtained through the Near-Field Far-Field (NF-FF) transform.The cylindrical TI-FFT algorithm has the advantages of $\mathcal{O} \left(\hbox{N} \log_2 \hbox{N} \right)$ computational complexity for $\hbox{N} =\hbox{N}_\phi \times \hbox{N}_z$ computational grid, small sampling rate (largesampling spacing) and no singularity problem.

Fast Computation of Electromagnetic Wave Propagation and Scattering for Quasi-cylindrical Geometry