Topological Perspective of Large-Scale Multi-Cell Deployment of Excitable Waveguide Dielectrics

Excitable waveguide dielectrics (EWDs) have emerged as a novel network component of future wireless systems due to their suprior capabilities to create strong line-of-sight connections between wireless transceivers. However, the impact of their large-scale deployment on the network topology has not been thoroughly investigated, which motivates this paper to analyze the performance of large-scale deployed EWDs from the perspective of the Voronoi topology of cells. We start from the one-dimensional (1-D) cellular structure to derive the expectation of the maximum and minimum cell boundaries. Based on this analytical insight, we further derive the achievable data rate with and without interference under the assistance of excitable EWD. We then extend the analysis to the two-dimensional (2-D) case under both interference-free and interference scenarios. The optimal excitation positions of waveguide dielectrics are obtained by closed-form in 1-D and 2-D scenarios, respectively. The results indicate that, compared with cellular networks relying on conventional antennas, large-scale deployment of EWDs can reshape the cellular layout toward a more uniform distribution, thereby optimizing the network topology and leading to a substantial improvement in average data transmission rates.