光子晶体光纤边界积分方程加速的h矩阵求解器

IF 0.7 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC

Progress in Electromagnetics Research M Pub Date : 2023-01-01 DOI:10.2528/pierm23032408

Jean-René Poirier, Julien Vincent, Priscillia Daquin, Ronan Perrussel, Han Cheng Seat

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H-matrix Solver for the Acceleration of Boundary Integral Equation for Photonic Crystal Fiber

|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 Nystr(cid:127)om 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 (cid:12)ber (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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来源期刊

Progress in Electromagnetics Research M Materials Science-Electronic, Optical and Magnetic Materials

CiteScore

2.50

自引率

10.00%

发文量

114

期刊介绍： Progress In Electromagnetics Research (PIER) M publishes peer-reviewed original and comprehensive articles on all aspects of electromagnetic theory and applications. Especially, PIER M publishes papers on method of electromagnetics, and other topics on electromagnetic theory. It is an open access, on-line journal in 2008, and freely accessible to all readers via the Internet. Manuscripts submitted to PIER M must not have been submitted simultaneously to other journals.