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Inverse-designed gyrotropic scatterers for non-reciprocal analog computing.

Nikolas Hadjiantoni1, Heedong Goh2,3, Stephen M Hanham1,4

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Electromagnetic analog computing uses gyrotropic scatterers to solve differential equations with enhanced accuracy. This inverse design approach offers a faster, more efficient computing platform than traditional methods.

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Area of Science:

  • Physics
  • Electromagnetism
  • Computational Science

Background:

  • Conventional von Neumann computers face limitations with modern computational demands.
  • Electromagnetic analog computing offers a highly parallel, efficient, and fast alternative.
  • Subwavelength scatterer arrays can solve partial differential equations, but have been limited to linear, reciprocal systems.

Purpose of the Study:

  • To demonstrate the use of gyrotropic scatterers in electromagnetic analog computing for solving a broader class of differential equations.
  • To enhance the accuracy and applicability of analog computing through engineered non-local responses.

Main Methods:

  • Utilizing inverse design with a combination of evolutionary and gradient-based optimization algorithms.
  • Optimizing the positions of gyrotropic scatterers to achieve a desired kernel response.
  • Comparing the performance of gyrotropic systems against reciprocal systems.

Main Results:

  • Successfully employed arrays of gyrotropic scatterers to solve a more general class of differential equations.
  • Achieved improved accuracy exceeding 2 orders of magnitude compared to reciprocal systems.
  • Demonstrated the effectiveness of engineered non-local responses in analog computing.

Conclusions:

  • Gyrotropic scatterers significantly enhance the accuracy and generality of electromagnetic analog computing.
  • Inverse design combined with gyrotropic media provides a powerful tool for synthesizing advanced analog solvers.
  • This approach paves the way for more efficient and capable computational platforms.