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Computational Imaging and Design Optimization

Computational imaging and design optimization form a cross-cutting research theme that connects our fundamental algorithmic research with practical engineering applications. This includes inverse scattering methods for reconstructing unknown object properties from measured electromagnetic fields, parameter identification for hysteresis models critical to ferromagnetic object detection, and effective material property characterization of random composites.

Our work on hysteresis model parameter identification employs the Gauss-Newton method for symmetrical Prandtl-Ishlinskii models, enabling accurate characterization of nonlinear magnetic materials. For random composite materials, we develop methods to extract effective electromagnetic parameters for porous media using potential-based formulations, with applications in materials science and subsurface exploration.

Advanced optimization techniques for electromagnetic device design include model order reduction for efficient sensitivity analysis, constrained least squares optimization for coronagraph design, and multi-objective optimization for antenna and metasurface systems. Efficient simulation methods using hierarchical matrix compression (𝒟ℋ²-matrices) have been developed for three-dimensional vector electromagnetic problems, and quantum-ready electromagnetic solvers via Pauli operator generation are being explored.

> examples

Hysteresis model parameter identification for ferromagnetic object detection

Hysteresis model parameter identification for ferromagnetic object detection

TEAM10 benchmark for hysteresis modeling

TEAM10 benchmark for hysteresis modeling

Effective electromagnetic parameter extraction for composite media

Effective electromagnetic parameter extraction for composite media

Directional nested hierarchical 𝒟ℋ²-matrix framework for 3D vector EM problems

Directional nested hierarchical 𝒟ℋ²-matrix framework for 3D vector EM problems

Efficient Pauli operator generation via hierarchical matrix compression for quantum-ready EM solvers

Efficient Pauli operator generation via hierarchical matrix compression for quantum-ready EM solvers

> funding_agencies

NSFDOE

> key_publications

  • Directional H²-matrix method with higher-order hierarchical basis functions for large-scale electromagnetic scattering analysis

    A. Noor and Su YanProc. ICEAA-IEEE APWC 2026, Toyama, Japan, Sept., 2026

  • Application of directional nested hierarchical DH²-matrix framework for three-dimensional vector electromagnetic problems

    A. Noor and Su YanProc. IEEE Antennas Propag. Symp., Detroit, MI, USA, July, 2026

  • Efficient Pauli operator generation via hierarchical matrix compression for quantum-ready electromagnetic solvers

    N. Al-Sultani and Su YanProc. IEEE Antennas Propag. Symp., Detroit, MI, USA, July, 2026

  • Parameter identification for symmetrical Prandtl-Ishlinskii hysteresis model using Gauss-Newton method

    Su Yan and A. O. IduborProc. IEEE Antennas Propag. Symp., Portland, OR, USA, July, 2023

  • Telescope coronagraph focal plane mask design using the method of moments and a constrained least squares

    Su Yan, L. Wise, and P. Chen2023 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, Winnipeg, Canada, June, 2023

  • An efficient solution of low-frequency magnetic problems with voltage sources using all-frequency stable formulation

    M. Mekonnen and Su Yan2023 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, Winnipeg, Canada, June, 2023

  • Electrostatic and magnetostatic properties of random materials

    P. Karimi, X. Zhang, Su Yan, M. Ostoja-Starzewski, and J.-M. JinPhys. Rev. E, 2019

  • Effective electromagnetic parameter extractions for porous media using a potential-based formulation

    Su Yan2019 International Applied Computational Electromagnetics Society (ACES) Symposium, Miami, FL, USA, April, 2019