Sat, 26 Jul 2008 07:44:55 BST CiteULike: norris's Movchan http://www.citeulike.org/user/norris/author/Movchan CiteULike.org en-gb Copyright © 2004-2008 citeulike.org http://www.citeulike.org/user/norris/article/3037822 <i>Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 453, No. 1958. (1997), pp. 643-662.</i><br /><br />We present expressions for the Green's tensors in terms of lattice sums for general two-dimensional arrays in both elastostatics and elastodynamics. We represent the lattice sums in rapidly convergent forms by Fourier transform methods. We compare the static lattice sums with recently published highly accurate values for square arrays. We also establish Rayleigh identities for elastostatic and elastodynamic problems, generalizing previous work in electrostatics and electromagnetism. The Rayleigh identities may be used in studies of phononic band gaps. Green's Tensors and Lattice Sums for Elastostatics and Elastodynamics AB Movchan NA Nicorovici RC Mcphedran doi:10.2307/53100 Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 453, No. 1958. (1997), pp. 643-662. 2008-07-23T21:35:54-00:00 1997 Proceedings: Mathematical, Physical and Engineering Sciences 453 1958 643 662 The Royal Society scattering http://www.citeulike.org/user/norris/article/3037817 <i>Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 452, No. 1953. (1996), pp. 2231-2245.</i><br /><br />We derive the first dynamic correction to the effective refractive index for a square array of cylinders (of finite or infinite refractive index), subject to a low frequency incident radiation. This correction also imposes constraints on the wavenumber region for which the Lorentz--Lorenz formula in two dimensions is accurate. Low Frequency Corrections to the Static Effective Dielectric Constant of a Two-Dimensional Composite Material RC Mcphedran CG Poulton NA Nicorovici AB Movchan doi:10.2307/52968 Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 452, No. 1953. (1996), pp. 2231-2245. 2008-07-23T21:33:43-00:00 1996 Proceedings: Mathematical, Physical and Engineering Sciences 452 1953 2231 2245 The Royal Society scattering http://www.citeulike.org/user/norris/article/1880980 <i>New J. Phys., Vol. 9, No. 11. (November 2007), 399.</i> Acoustic metamaterials for sound focusing and confinement Sébastien Guenneau Alexander Movchan Gunnar Pétursson Anantha Ramakrishna doi:10.1088/1367-2630/9/11/399 New J. Phys., Vol. 9, No. 11. (November 2007), 399. 2007-11-07T20:44:54-00:00 2007 New J. Phys. 1367-2630 9 11 399 Institute of Physics Publishing cloaking metamaterial http://www.citeulike.org/user/norris/article/812843 <i>Applied Stochastic Models in Business and Industry, Vol. 16, No. 4. (2000), pp. 249-278.</i><br /><br />This paper contains an overview of recent development in asymptotic analysis of fields in multi-structures. We begin with simple examples of scalar dynamic problems in two dimensions, and then present analysis of time-dependent fields in 1D-3D multi-structures. The asymptotic results, presented here, are based on the method of compound asymptotic expansions. Copyright © 2000 John Wiley & Sons, Ltd. Dynamic singular perturbation problems for multi-structures VG Maz'ya AB Movchan doi:10.1002/1526-4025(200010/12)16:4<249::AID-ASMB418>3.0.CO;2-C Applied Stochastic Models in Business and Industry, Vol. 16, No. 4. (2000), pp. 249-278. 2006-08-22T16:17:12-00:00 2000 Applied Stochastic Models in Business and Industry 16 4 249 278 structural