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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2023-09-14
H -Matrix Solver for the Acceleration of Boundary Integral Equation for Photonic Crystal Fiber
By
Jean-René Poirier,

    Dr. Jean-René Poirier

    University of Toulouse

    France

    Homepage

Julien Vincent,

    Mr. Julien Vincent

    MBDA Missile Systems

    France

    Homepage

Priscillia Daquin,

    Dr. Priscillia Daquin

    University of Toulouse

    France

    Homepage

Ronan Perrussel,

    Dr. Ronan Perrussel

    Universite de Toulouse

    France

    Homepage

Han Cheng Seat

    Dr. Han Cheng Seat

    Universite de Toulouse

    France

    Homepage

Progress In Electromagnetics Research M, Vol. 119, 25-35, 2023
doi:10.2528/PIERM23032408 | Google Scholar

Abstract
A waveguide mode solver based on boundary integral equation (BIE) method and matrix compression is developed in this study. Using an accurate discretization based on a Nystrom method and a kernel-splitting technique, the BIE method gives rise to three different formulations of a nonlinear eigenvalue problem. H-matrices are used in order to accelerate and increase the precision of the subsequent computations. Results from these investigations on a canonical photonic crystal fiber (PCF) chosen as an example demonstrate that the data sparse representation of the BIE discretization reduces the memory storage, as well as the assembly and solution times.
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Citation
Jean-René Poirier, Julien Vincent, Priscillia Daquin, Ronan Perrussel, and Han Cheng Seat, "H -Matrix Solver for the Acceleration of Boundary Integral Equation for Photonic Crystal Fiber," Progress In Electromagnetics Research M, Vol. 119, 25-35, 2023.
doi:10.2528/PIERM23032408
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