Electromagnetic modeling of composite panels as planar multilayers involving a periodic set of circular cylindrical fibers in each constitutive layer is considered. As a first step, the case of a single layer is studied.
Combining multipole method and plane-wave expansion leads to full-wave field representations in all space, yielding in particular reflection and transmission coefficients for TE/TM oblique plane-wave illuminations. Gaussian beams are accounted for via a Fourier transform and numerical quadrature scheme. Comparisons with data available for photonic crystals show the accuracy of the method, while results for fiber-reinforced composites illustrate its effectiveness.
Transmission Coefficient Gaussian Beam Epoxy Matrix Scattered Field Perfect Electric Conductor
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.
Y. Zhong et al., Electromagnetic response of anisotropic laminates to distributed sources. IEEE Trans. Antennas Propag. 62, 247–256 (2014)CrossRefGoogle Scholar
J.-P. Groby et al., Acoustic response of a rigid-frame porous medium plate with a periodic set of inclusions. J. Acoust. Soc. Am. 126, 685–693 (2009)CrossRefADSGoogle Scholar
J.-P. Groby, D. Lesselier, Localization and characterization of simple defects in finite-size photonic crystals. J. Opt. Soc. Am. A 25, 146–152 (2008)CrossRefADSGoogle Scholar
S. Wilcox et al., Modeling of defect modes in photonic crystals using the fictitious source superposition method. Phys. Rev. E 71, 056606-1–056606-11 (2005)CrossRefADSGoogle Scholar
L.C. Botten et al., Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method. J. Opt. Soc. Am. A 17, 2165–2176 (2000)CrossRefADSGoogle Scholar
J.W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968)Google Scholar
E.E. Kriezis et al., Diffraction of a Gaussian beam from a periodic planar screen. J. Opt. Soc. Am. A 11, 630–636 (1994)CrossRefADSGoogle Scholar
J. Yang et al., Two-dimensional scattering of a Gaussian beam by a periodic array of circular cylinders. IEEE Trans. Geosci. Remote Sens. 43, 280–285 (2005)CrossRefADSGoogle Scholar
V. Twersky, On scattering of waves by the infinite grating of circular cylinders. IEEE Trans. Antennas Propag. 10, 737–765 (1962)CrossRefADSGoogle Scholar
K. Yasumoto et al., Efficient calculation of lattice sums for free-space periodic Green’s function. IEEE Trans. Antennas Propag. 47, 1050–1055 (1999)CrossRefADSGoogle Scholar
M. Kavaklioglu, On Schlömilch series representation for the transverse electric multiple scattering by an infinite grating of insulating dielectric circular cylinders at oblique incidence. J. Phys. A Math. Gen. 35, 2229–2234 (2002)MathSciNetCrossRefzbMATHADSGoogle Scholar
H. Roussel et al., Electromagnetic scattering from dielectric and magnetic gratings of fibers—a T-matrix solution. J. Electromagn. Waves Appl. 10, 109–127 (1996)CrossRefGoogle Scholar
T. Kushta et al., Electromagnetic scattering from periodic array of two circular cylinders per unit cell. PIER 29, 69–85 (2000)CrossRefGoogle Scholar
J.A. Kong, Electromagnetic Wave Theory (EMW, Cambridge, 2008)Google Scholar
M. Antunes et al., Broad-band electrical conductivity of carbon nanofibre-reinforced polypropylene foams. Carbon 49, 708–717 (2011)CrossRefGoogle Scholar
M. Hotta et al., Complex permittivity of graphite, carbon black and coal powders in the ranges of x-band frequencies (8.2 to 12.4 GHz) and between 1 and 10 GHz. ISIJ Int. 51, 1766–1772 (2011)CrossRefGoogle Scholar
A. Galehdar et al., The conductivity of unidirectional and quasi isotropic carbon fiber composites. 2010 European Microwave Conference (EuMC), 882–885 (2010)Google Scholar
X. Luo et al., Carbon-fiber/polymer-matrix composites as capacitors. Compos. Sci. Technol. 61, 885–888 (2001)CrossRefGoogle Scholar
Y.J. Kim et al., Electrical conductivity of chemically modified multiwalled carbon nanotube/epoxy composites. Carbon 43, 23–30 (2005)CrossRefGoogle Scholar