A multiple scattering approach to solving scattering problems by complex objects

A simple numerical method for solving diffraction problems was developed. It is based on a multiple scattering approach and a fundamental result in homogenization theory. The method is easily implemented and is efficient for complex inhomogeneous objects.

[1]  D. Felbacq.  Layer homogenization of a 2D periodic array of scatterers , 2013 .

[2]  D. Felbacq,et al.  Scattering by a random set of parallel cylinders , 1994 .

[3]  D. Felbacq.  Weak and strong coupling of a quantum emitter with a meta-surface , 2014, 1411.6373.

[4]  D. Felbacq,et al.  Bloch waves and non-propagating modes in photonic crystals , 2002 .

[5]  D Cassagne,et al.  Homogenization of negative-index composite metamaterials: a two-step approach. , 2007, Physical review letters.

[6]  Guy Bouchitté,et al.  Homogenization of a Wire Photonic Crystal: The Case of Small Volume Fraction , 2006, SIAM J. Appl. Math..

[7]  D. Felbacq,et al.  Characterization of defect modes in finite bidimensional photonic crystals , 1999 .

[8]  Guy Bouchitté,et al.  Homogenization of the 3D Maxwell system near resonances and artificial magnetism , 2009 .

[9]  Guy Bouchitté,et al.  Homogenization of a set of parallel fibres , 1997 .

[10]  Didier Felbacq,et al.  Spatial dispersion in negative-index composite metamaterials , 2008 .

[11]  Chris M. Linton,et al.  Lattice Sums for the Helmholtz Equation , 2010, SIAM Rev..

[12]  B. Guizal,et al.  A remarkable diffractive property of photonic quasi-crystals , 1998 .

[13]  Guy Bouchitté,et al.  Bloch vector dependence of the plasma frequency in metallic photonic crystals. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Didier Felbacq,et al.  Collective resonant modes of a metasurface , 2013, 1312.4273.