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Learn advanced techniques for simulating radio-frequency wave propagation in hot magnetized plasma using the Modular Finite Element Methods (MFEM) framework in this conference presentation. Explore the challenges of non-local dielectric response in plasma with finite temperature, where freely moving charged particles create significant computational difficulties for finite element methods in both assembling and solving linear systems. Discover how numerical techniques from fractional differential equations can introduce non-local dielectric response into Maxwell equations, building upon previous work that successfully reproduced electron Bernstein wave propagation patterns. Examine the generalized approach starting from dielectric response of uniform magnetized Maxwellian plasma and the construction of semi-differential forms of dielectric currents containing non-locality as perpendicular and parallel wave numbers. Understand the transformation process using directional Laplacians to create a set of partial differential equations yielding more generalized differential operators for dielectric response. Learn about methods to guarantee operator self-adjointness in loss-less plasma conditions and review 2D simulation results of various waves in tokamak plasmas, providing practical applications for fusion plasma research and radio-frequency wave simulation in magnetized environments.
