TITLE

Numerical evaluation of fundamental solution for doubly periodic structures

AUTHOR(S)
Kitahara, M.; Yamada, M.; Nakagawa, K.
PUB. DATE
May 2000
SOURCE
AIP Conference Proceedings;2000, Vol. 509 Issue 1, p121
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
An integral equation is formulated for the scattering problem by the planar periodic array of scatterers. In this case, the fundamental solution is in a form of double series and the series may converge very slowly in a certain configuration of periodic scatterers. In this paper, a practical numerical integration based on Ewald method is investigated for the fundamental solution with the double infinite series. In more detail, the fundamental solution is converted into the integral form with rapidly convergent integrand and the Gauss’ numerical integration is performed here to evaluate the integral. The convergence and the efficiency of the method are demonstrated numerically for the integral equation by the planar array of scatterers. The reflection and transmission coefficients are calculated as an application of the present numerical evaluation for the fundamental solution. © 2000 American Institute of Physics.
ACCESSION #
6029269

 

Related Articles

  • Symmetric patterns in linear arrays of coupled cells. Epstein, Irving R.; Golubitsky, Martin // Chaos;Jan1993, Vol. 3 Issue 1, p1 

    Shows how to find patterned solutions in linear arrays of coupled cells. Embedding method; Bifurcation in circular arrays; Patterns in solutions; Time-periodic solutions; Numerical outcomes.

  • Role of misfit dislocations on pseudomorphic high electron mobility transistors. Meshkinpour, M.; Goorsky, M.S. // Applied Physics Letters;2/6/1995, Vol. 66 Issue 6, p748 

    Investigates the effect of misfit dislocations on pseudomorphic high electron mobility transistors. Relationship between structural defects and device performance; Presence of misfit dislocations along one direction; Impact of orthogonal array of misfit dislocations on device parameters.

  • Grid Vertex-Unfolding Orthogonal Polyhedra. Mirela Damian; Robin Flatland; Joseph O’Rourke // Discrete & Computational Geometry;Mar2008, Vol. 39 Issue 1-3, p213 

    Abstract   An edge-unfolding of a polyhedron is produced by cutting along edges and flattening the faces to a net, a connected planar piece with no overlaps. A grid unfolding allows additional cuts along grid edges induced by coordinate planes passing through every...

  • Orthogonal Arrays for Experiments With Lean Designs. Chan, Ling-Yau; Ma, Chang-Xing; Goh, T.N. // Journal of Quality Technology;Apr2003, Vol. 35 Issue 2, p123 

    Constructs lean designs by appropriate deletion of rows and columns from orthogonal arrays. Discussion on orthogonal arrays in industrial experiments; Explanation on lean designs and efficiency of estimation; Description on orthogonal arrays for lean designs; Conclusions.

  • Calculation of two-fraction mixture porosity. Khan, G. // Journal of Mining Science;Jul2004, Vol. 40 Issue 4, p345 

    A method is proposed for calculating porosity of two-fraction mixtures that are composed of irregularly compacted convex particles slightly differing in sizes in three orthogonal directions. A comparison of calculated results and the known experimental data is presented and indicates their...

  • Optimization of Biomass Production by Ustilago maydis in Submerged Culture using Taguchi Experimental Design. Cornejo-Mazón, Maribel; Jaramillo-Flores, Ma. Eugenia; Villa-Tanaca, Lourdes; Henández-Sánchez, Humberto // Biotechnology;2008, Vol. 7 Issue 4, p818 

    The aim of this study was to optimize the submerged culture conditions in baffled Erlenmeyer flasks for biomass production by U. maydis FB12 by L8 Taguchi orthogonal array experimental design using YPD broth (yeast extract-peptone-dextrose) as a basal medium. The optimized conditions (glucose 40...

  • Saturation and self-saturation effects in the field of intense laser waves: The J = 1 − J = 1 transition. Rautian, S. G.; Saprykin, É. G.; Chernenko, A. A. // Optics & Spectroscopy;Apr2008, Vol. 104 Issue 4, p567 

    The shape of the resonance of a saturated absorption is calculated at an arbitrary intensity of a probe field. It is revealed that, in the case of orthogonal polarizations of strong and probe fields, an increase in the intensity of the probe field can invert the shape of the nonlinear resonance...

  • Performance evaluation of composite marine propeller using L8 orthogonal array. Raj, S. Solomon; Reddy, P. Ravinder // International Journal of Engineering Science & Technology;2011, Vol. 3 Issue 12, p7998 

    This work aims at understanding the effect of various parameters on the performance of a marine propeller using L8 orthogonal array. The parameters chosen are advance velocityVa, rotational speed N and the stacking sequenceS. A four bladed composite propeller made of glass-epoxy is modelled...

  • Optimization of Agitation and Aeration for Very High Gravity Ethanol Fermentation from Sweet Sorghum Juice by Saccharomyces cerevisiae Using an Orthogonal Array Design. Khongsay, Naulchan; Laopaiboon, Lakkana; Jaisil, Prasit; Laopaiboon, Pattana // Energies (19961073);Mar2012, Vol. 5 Issue 3, p561 

    Optimization of three parameters: agitation rate (A; 100, 200 and 300 rpm), aeration rate (B; 0.5, 1.5 and 2.5 vvm) and aeration timing (C; 2, 4 and 6 h), for ethanol production from sweet sorghum juice under very high gravity (VHG, 290 g L-1 of total sugar) conditions by Saccharomyces...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics