https://hal-centralesupelec.archives-ouvertes.fr/hal-01396976Liu, ZichengZichengLiuL2S - Laboratoire des signaux et systèmes - UP11 - Université Paris-Sud - Paris 11 - CentraleSupélec - CNRS - Centre National de la Recherche ScientifiqueLi, ChangyouChangyouLiSingapore University of Technology and Design - SUTD - Singapore University of Technology and DesignLesselier, DominiqueDominiqueLesselierL2S - Laboratoire des signaux et systèmes - UP11 - Université Paris-Sud - Paris 11 - CentraleSupélec - CNRS - Centre National de la Recherche ScientifiqueZhong, YuYuZhongIHPC - Institute of High Performance ComputingElectromagnetic modeling of periodically-structured fiber-reinforced single-layer laminate with multiple fibers missingHAL CCSD2016supercellElectromagneticsphotonicsperiodic structureslaminatesnon-destructive testing[SPI.ELEC] Engineering Sciences [physics]/Electromagnetism[SPI.OPTI] Engineering Sciences [physics]/Optics / Photonic[SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]Lesselier, Dominique2016-11-15 11:47:412023-03-24 14:53:032016-11-15 11:47:41enJournal articles10.1007/s00339-016-0524-71Modeling 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.