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Superconducting resonator eigenmode simulation using numericalai
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About the Superconducting Resonator Eigenmode Simulation using NumericalAI Project
This case presents an eigenmode simulation of a superconducting microwave resonator performed using NumericalAI (https://numericalai.net/) solver for computational electromagnetics (CEM). The model is intended to study the resonant field distribution, electric and magnetic energy localization, and mode behavior of a compact superconducting resonator structure. The simulation solves for resonant electromagnetic modes of the device geometry and postprocesses the results in ParaView. The uploaded visualizations show the real and imaginary components of the electric and magnetic fields, along with electric energy density, magnetic energy density, and a power-flow-related field quantity. The electric-field distribution is concentrated around the capacitive pad regions, while the magnetic-field and magnetic-energy distributions are localized around the resonator body/current path. This separation between electric and magnetic energy is physically consistent with a microwave resonator mode, where voltage-like behavior is strongest near capacitive regions and current-like behavior is strongest near inductive regions. For eigenmode results, the absolute phase of the complex field solution is arbitrary. Therefore, the real and imaginary field components should be interpreted as mode-shape components rather than standalone physical snapshots. The field magnitudes and energy-density plots are generally more useful for validating the resonator behavior.
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June 1st, 2026 Uploaded
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