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  1. (, https://ieeexplore.ieee.org/abstract/document/10580776)
    ACES (Ed.)
    We present a frequency/time hybrid integral-equation method for the time-dependent wave equation in two and three-dimensional spatial domains, possibly including closed cavities. 
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    Accepted Manuscript Full Text Available
  2. (, https://ieeexplore.ieee.org/abstract/document/10580702/keywords#keywords)
    ACES (Ed.)
    We present a family of numerical methods for the solution of Maxwell’s equations, with application to simulation, optimization, and design. In particular, a novel rectangular-polar integral equation solver is mentioned which can produce solutions to the time harmonic Maxwell’s equations, with high order accuracy, for general 2D and 3D structures, with an extension to time domain problems on the basis of a time re-centering synthesis technique. An effective integral equation acceleration method, the IFGF method (Interpolated Factored Green Function), is used, which evaluates the action of Green function-based integral operators for an 𝑁𝑁-point surface discretization at a computational cost of 𝑂(𝑁log𝑁) operations without recourse to the FFT—thus, lending itself to effective distributed memory parallelization. Computational illustrations include applications to photonic optimization and design. 
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    Accepted Manuscript Full Text Available
  3. (, https://ieeexplore.ieee.org/abstract/document/10580776)
    ACES (Ed.)
    We present a frequency/time hybrid integral-equation method for the time-dependent wave equation in two and three-dimensional spatial domains, possibly including closed cavities. 
    more » « less
    Accepted Manuscript Full Text Available