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Electromagnetic modeling of periodically-structured fiber-reinforced single-layer laminate with multiple fibers missing

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Abstract

Modeling of periodically-structured, fiber-reinforced laminates with fibers missing is investigated, this applying as well to similarly disorganized photonic crystals at optical frequencies. Parallel cylindrical fibers are periodically embedded within a layer sandwiched between two half-spaces. Absent fibers destroy the periodicity. The supercell concept involving an auxiliary periodic structure provides subsidiary solutions, wherein plane-wave illumination can be analyzed with the help of the Floquet theorem, while the field response due to a line source can be calculated from the pertinent plane-wave expansion. Accuracy, computational efficacy and versatility of the above approaches are illustrated by comprehensive numerical simulations with in particular comparisons to results provided by a finite-element code, all-purpose but computationally demanding, this work seen as the first step to the localization of missing fibers in a damaged laminate and imaging thereof.

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Authors and Affiliations

  1. Laboratoire des Signaux et Systèmes, UMR8506 (CNRS-CentraleSupélec-Univ. Paris Sud), Gif-sur-Yvette, France

    Z.-C. Liu & D. Lesselier

  2. BioMedical-Electromagnetics Group, Engineering Product Department, Singapore University of Technology and Design, Singapore, Singapore

    C.-Y. Li

  3. A*STAR, Institute of High Performance Computing, Singapore, Singapore

    Y. Zhong

Authors
  1. Z.-C. Liu
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  2. C.-Y. Li
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  3. D. Lesselier
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  4. Y. Zhong
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Correspondence to Z.-C. Liu.

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Liu, ZC., Li, CY., Lesselier, D. et al. Electromagnetic modeling of periodically-structured fiber-reinforced single-layer laminate with multiple fibers missing. Appl. Phys. A 122, 993 (2016). https://doi.org/10.1007/s00339-016-0524-7

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  • DOI: https://doi.org/10.1007/s00339-016-0524-7

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