UPML Boundary Adapted to High-Q FDTD Algorithm and Its Application in High-Power Microwave Source With High-Q Value

• Published in: IEEE transactions on plasma science 2022-07, Vol.50 (7), p.2305-2314
• Main Authors: Li, Qiang, Liu, Dagang, Liu, Laqun, Wang, Huihui, Li, Tianming
• Format: Article
• Language: English
• Subjects: Absorption; Algorithms; Cartesian coordinates; Cylindrical coordinates; Electromagnetic waveguides; Finite difference methods; Finite difference time domain method; High power microwaves; High-power microwave (HPM) devices; high-quality-factor algorithm; Microwave devices; Modules; Numerical models; particle simulation algorithm; Perfectly matched layers; Relativistic effects; Simulation; Stability analysis; Time-domain analysis; uniaxial-anisotropic perfectly matched layer (UPML)
• ISSN: 0093-3813; 1939-9375
• DOI: 10.1109/TPS.2022.3180391

In the simulation of high-power microwave (HPM) devices (relativistic magnetron) with high- Q value and resonant cavity, the high-quality-factor finite-difference time-domain (FDTD) algorithm and perfectly matched layer absorption boundary are essential. In this article, the reason for numerical divergence caused by the Gedney uniaxial-anisotropic perfectly matched layer (UPML) absorption boundary model under the high-quality-factor FDTD algorithm is analyzed, and a novel UPML absorption boundary model based on the high-quality-factor FDTD algorithm is derived. Afterward, the absorption boundary model is implemented in existing software and its absorption effect is verified in the Cartesian coordinate system and cylindrical coordinate system; the relative reflection error of the 10-15 layers high-quality-factor FDTD algorithm UPML absorption model is less −70 dB. Finally, the absorption boundary module is applied to simulate the HPM device-relativistic magnetron. The reliability of the algorithm module is further verified by comparing the simulation results with the experimental results.