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A Memory-Efficient Scalar Wave 2-D-FDTD Algorithm

A memory-efficient scalar wave finite-difference time-domain (FDTD) algorithm, using a two dimensional (2-D) mesh is proposed in this letter. The proposed algorithm requires one memory element per cell, instead of the usual three of the conventional 2-D Yee algorithm. This leads to a direct memory reduction of 66% in the storage of fields. Furthermore, the computational efficiency of this algorithm is higher than that of previous scalar wave approaches. A numerical example is given to show the validity of the proposed algorithm, in which the Liao absorbing boundary condition (ABC) is implemented directly