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Description
  • The purpose of our work is to design dielectric composite structures with specific qualities. In this paper we construct interfaces of given material components such that the originated structure attains desired properties. Propagation of the electromagnetic waves in the composite is described by the Helmholtz equation. Quality of the structure for a given set of wavelengths is enumerated by the tracking functionals that are to be minimized. Interfaces of the given materials are parametrized by the cubic B-spline curves. The design variables are afterwards the positions of B-spline control points. For cost functional evaluation one forward computation of the Helmholtz equation for each wavelength is needed. To get the sensitivity of the objective function we solve the backward (adjoint) equation. Several numerical simulations are presented. Finally three different designs are discussed.
  • The purpose of our work is to design dielectric composite structures with specific qualities. In this paper we construct interfaces of given material components such that the originated structure attains desired properties. Propagation of the electromagnetic waves in the composite is described by the Helmholtz equation. Quality of the structure for a given set of wavelengths is enumerated by the tracking functionals that are to be minimized. Interfaces of the given materials are parametrized by the cubic B-spline curves. The design variables are afterwards the positions of B-spline control points. For cost functional evaluation one forward computation of the Helmholtz equation for each wavelength is needed. To get the sensitivity of the objective function we solve the backward (adjoint) equation. Several numerical simulations are presented. Finally three different designs are discussed. (en)
  • Účelem této práce je navrhnout kompozitní materiály s určitými optickými vlastnostmi. Propagace elektromagnetických vln je popsána Helmholtzovou rovnici. Kvalita navrhované struktury pro danou množinu vlnových délek je vyčíslena účelovým funkcionálem, který budeme minimalizovat tím, že najdeme optimální tvar rozhraní kompozitních materiálů. Rozhraní daných materiálů je parametrizováno kubickými B-spline křivkami. Jejich kontrolní body jsou poté návrhovými parametry. Pro vyčíslení účelového funkcionálu je nutné pro každou vlnovou délku vyřešit Helmholtzovu rovnici. Dále, abychom získali citlivost účelového funkcionálu, řešíme adjungovanou úlohu. V závěru je popsáno několik numerických simulací včetně jejich diskuse. (cs)
Title
  • Tracking optimization for propagation of electromagnetic waves for multiple wavelengths
  • Tracking optimalizace pro šíření elektromagnetických vln pro část viditelného spektra (cs)
  • Tracking optimization for propagation of electromagnetic waves for multiple wavelengths (en)
skos:prefLabel
  • Tracking optimization for propagation of electromagnetic waves for multiple wavelengths
  • Tracking optimalizace pro šíření elektromagnetických vln pro část viditelného spektra (cs)
  • Tracking optimization for propagation of electromagnetic waves for multiple wavelengths (en)
skos:notation
  • RIV/49777513:23640/08:00500955!RIV09-MSM-23640___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M06031), P(GA101/07/1471)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 400328
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23640/08:00500955
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • electromagnetic waves; scattering optimization; shape optimization; Helmholtz equation; adjoint equation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [0823677DB869]
http://linked.open...i/riv/nazevZdroje
  • Applied and Computational Mechanics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2
http://linked.open...iv/tvurceVysledku
  • Rohan, Eduard
  • Seifrt, František
  • Leugering, G.
issn
  • 1802-680X
number of pages
http://localhost/t...ganizacniJednotka
  • 23640
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