Multiple-scattering theory for electromagnetic waves

Classical vibrational modes in phononic lattices: theory and experiment

“…The success of this theory in both electronic and electromagnetic [29][30][31] band-structure calculations was a strong motivation for its application in the acoustic/elastic problem as well. Moreover, in addition to its capability to calculate dispersion for mixed composites [12] and for high contrast composites [32], the MS method is capable to calculate transmission through finite slabs of those composites, both periodic and random; thus it is a valuable tool in the acoustic/elastic problem.…”

The photonic band structures of body-centred-tetragonal crystals composed of ionic or metal spheres

“…The equation set derived above can be further simplified after applying the addition theorem for the vector spherical harmonics to move the centre of coordinates to the same origin. The equation set governing the coefficients a finally takes the form [21,[26][27][28] (…”

“…This is the so-called Korringa-KohnRostoker (KKR) method [19,20], which was first put into practice in electronic band-structure calculations some decades ago. Recently, the vector-wave KKR method has been formulated for electromagnetic waves propagating in photonic crystals [21][22][23][24][25][26][27][28]; also we have written a very efficient program code based on the vector-wave KKR method and tested it on a variety of previous known results: fast convergence and high accuracy have been proved for all cases. The advantage of the vector-wave KKR method is most obvious for photonic crystals with metallic components; comparison of diamond structures made of ideal metal spheres embedded in dielectric media shows that the vector-wave KKR method needs much less CPU time and memory space than the finite-difference time-domain method [29].…”

Magnetically Tunable Unidirectional Electromagnetic Devices Based on Magnetic Surface Plasmon

“…By combining the Mie theory with the multiple scattering theory (Felbacq et al, 1994;Leung & Qiu, 1993;Liu & Lin, 2006;Wang et al, 1993), we can handle the scattering problem for a system consisting of multiple ferrite rods. Then, the scattering coefficients around each ferrite rod can be obtained by solving the linear equations…”