TSNU-PSTD modeling of a simplified indoor wave propagation for wireless network communications

In this research, we develop a transformed-space, nonuniform pseudo-spectral time domain (TSNU-PSTD) Maxwell solver for modeling a simplified indoor wave propagation in a multilayer dielectric system for wireless local area network (WLAN) communications. Herein, we transform a nonuniform grid {x_i} to a uniform one {u_i} to fit for dimensions of practical structures prior to applying the standard fast Fourier transform (FFT). It is reported that this scheme is as efficient as the conventional uniform PSTD with a computational complexity of O(NlogN) since the difference is only the factor of du/dx between the conventional PSTD and the TSNU-PSTD techniques. An initial-condition excitation of a Gaussian pulse over the entire computational domain is employed as the initial excitation to eliminate undesired Gibbs phenomena, which could seriously deteriorate the implementation of the PSTD. An anisotropic version of the Berenger perfectly matched layers (APML) is used to suppress the wraparound effect at the two ends of the computational domain, which is caused by the periodicity of the FFT