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Area of Science:

  • Plasma Physics and Fusion Energy
  • Electromagnetism and Wave Propagation

Background:

  • Geometrical Optics (GO) is widely used for radiofrequency (RF) wave system design in fusion applications but fails at wave cutoffs and caustics.
  • Accurate modeling in these challenging regions often requires computationally expensive full-wave simulations.
  • Metaplectic Geometrical Optics (MGO) offers a generalized framework to overcome GO limitations near caustics.

Purpose of the Study:

  • To develop and present a novel algorithm for numerically evaluating the MGO integral representation of the wavefield.
  • To validate the algorithm's accuracy by comparing its results against known analytical solutions.
  • To demonstrate the MGO approach as a more efficient alternative to full-wave simulations for specific regions.

Main Methods:

  • Implementation of an algorithm utilizing Gauss-Freud quadrature along steepest-descent contours for MGO integral evaluation.
  • Benchmarking the algorithm using the standard Airy problem, which has a known analytical solution.
  • Comparison of numerical MGO results with the exact analytical solution and previous MGO analytical approximations.

Main Results:

  • The developed algorithm provides a numerical MGO solution that exhibits remarkable agreement with the exact analytical solution for the Airy problem.
  • The numerical MGO results significantly outperform previously derived analytical approximations of the MGO integral.
  • The study demonstrates the feasibility and accuracy of the proposed numerical method for MGO wavefield computation.

Conclusions:

  • The new Gauss-Freud quadrature-based algorithm offers an accurate and efficient method for computing wavefields using the MGO framework.
  • This approach effectively addresses the limitations of geometrical optics in critical regions like wave cutoffs and caustics.
  • The MGO method, implemented with this algorithm, presents a viable and computationally advantageous alternative to full-wave simulations for certain fusion applications.