Accurate analysis of two-dimensional electromagnetic scattering from multilayered periodic arrays of circular cylinders using lattice sums technique

A very efficient and accurate method to characterize two-dimensional (2-D) electromagnetic scattering from multilayered periodic arrays of parallel circular cylinders is presented, using the lattice sums technique, the aggregate T-matrix algorithm, and the generalized reflection and transmission matrices for a layered system. The method is quite general and applies to various configurations of 2-D periodic arrays. The unit cell of the array can contain two or more cylinders, which may be dielectric, conductor, gyrotropic medium, or their mixture with different sizes. The periodic spacing of cylinders along each array plane should be the same over all layers, but otherwise the cylinders in different layers may be different in material properties and dimensions. The numerical examples validate the usefulness and accuracy of the proposed method.

[1]  Y. Miyanaga,et al.  Analysis of fundamental property of 2D photonic crystal optical waveguide with various medium conditions by condensed node spatial network , 2002 .

[2]  E Popov,et al.  Differential method applied for photonic crystals. , 2000, Applied optics.

[3]  K. Yasumoto Generalized method for electromagnetic scattering by two-dimensional periodic discrete composites using lattice sums , 2000, ICMMT 2000. 2000 2nd International Conference on Microwave and Millimeter Wave Technology Proceedings (Cat. No.00EX364).

[4]  Agostino Monorchio,et al.  A hybrid FEM-based procedure for the scattering from photonic crystals illuminated by a Gaussian beam , 2000 .

[5]  K. Yasumoto,et al.  Electromagnetic Scattering From Periodic Arrays of Two Circular Cylinders Per Unit Cell - Abstract , 2000 .

[6]  Eli Yablonovitch,et al.  Guest editorial: Electromagnetic crystal structures, design, synthesis, and applications , 1999 .

[7]  P. Robinson,et al.  Ordered and disordered photonic band gap materials , 1999 .

[8]  K. Yasumoto,et al.  Rigorous analysis of scattering by a periodic array of cylindrical objects , 1999, IEEE Antennas and Propagation Society International Symposium. 1999 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.99CH37010).

[9]  Kiyotoshi Yasumoto,et al.  Efficient calculation of lattice sums for free-space periodic Green's function , 1999 .

[10]  R. Pregla,et al.  Efficient analysis of periodic structures , 1998 .

[11]  Tsuyoshi Ueta,et al.  Calculation of photonic bands using vector cylindrical waves and reflectivity of light for an array of dielectric rods , 1998 .

[12]  Gérard Tayeb,et al.  Rigorous theoretical study of finite-size two-dimensional photonic crystals doped by microcavities , 1997 .

[13]  Henri Benisty,et al.  Modal analysis of optical guides with two‐dimensional photonic band‐gap boundaries , 1996 .

[14]  Nicorovici,et al.  Lattice sums for off-axis electromagnetic scattering by gratings. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  A. Maradudin,et al.  Photonic band structure of two-dimensional systems: The triangular lattice. , 1991, Physical review. B, Condensed matter.

[16]  W. Chew Waves and Fields in Inhomogeneous Media , 1990 .

[17]  K. Ohtaka,et al.  Multiple scattering effects in photon diffraction for an array of cylindrical dielectrics , 1979 .

[18]  V. Twersky,et al.  On scattering of waves by the infinite grating of circular cylinders , 1962 .

[19]  M. Koshiba,et al.  Time-domain beam propagation method and its application to photonic crystal circuits , 2000, Journal of Lightwave Technology.

[20]  K. Yasumoto,et al.  Electromagnetic Scattering from Periodic Arrays of Two Circular Cylinders Per Unit Cell , 2000 .

[21]  W. Chew,et al.  Electromagnetic scattering from dielectric and magnetic gratings of fibers - a T-matrix solution , 1996 .

[22]  Roger Petit,et al.  Electromagnetic theory of gratings , 1980 .