3-D FDTD Simulation Code for Patch Antenna with Mur's Boundary Condition

This research presents a comprehensive simulation study of patch antenna behavior using three-dimensional Finite-Difference Time-Domain (3-D FDTD) methodology with Mur's boundary conditions in free space environment. The study employs advanced numerical modeling techniques to analyze patch antenna performance characteristics through Maxwell's curl equations discretization in both space and time domains. Key implementation features include Yee's algorithm for staggered grid arrangement of electric and magnetic field components, along with Mur's first-order absorbing boundary conditions to effectively minimize unwanted numerical reflections at computational domain boundaries. Through systematic FDTD simulations, the code enables detailed investigation of patch antenna radiation patterns, impedance characteristics, and frequency response across multiple operating bands. The simulation framework incorporates time-stepping algorithms with Courant-Friedrichs-Lewy (CFL) stability condition enforcement, ensuring accurate modeling of electromagnetic wave propagation and antenna interactions. This research methodology provides valuable quantitative insights for patch antenna design optimization, performance validation, and parametric studies essential for modern wireless communication systems development.