Abstract-An accurate and efficient finite-difference time-domain (FDTD) method for characterizing transient waves interactions on axially symmetric structures is presented. The method achieves its accuracy and efficiency by employing localized and/or fast Fourier transform (FFT) accelerated exact absorbing conditions (EACs). The paper details the derivation of the EACs, discusses their implementation and discretization in an FDTD method, and proposes utilization of a blocked-FFT based algorithm for accelerating the computation of temporal convolutions present in nonlocal EACs. The proposed method allows transient analyses to be carried for long time intervals without any loss of accuracy and provides reliable numerical data pertinent to physical processes under resonant conditions. This renders the method highly useful in characterization of high-Q microwave radiators and energy compressors. Numerical results that demonstrate the accuracy and efficiency of the method are presented.

The outcomes of a search for efficient and correct ways of the truncation of computational domain in finite-difference methods are presented. The relevant mathematical problem is resolved rigorously both for two-dimensional scalar model problems and for three-dimensional vector problems. In the framework of this abstract, we describe briefly only two typical two-dimensional situations. The peculiarities associated with a change to the analysis of three-dimensional vector problems are to be covered in the report.

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