Maria Bayard Dühring - Solid Mechanics

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60 References [14] E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett., vol. 58, no. 20, pp. 2059–2062, 1987. [15] S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett., vol. 58, no. 23, pp. 2486–2489, 1987. [16] T. F. Krauss, R. M. De La Rue, and S. Brand, “Two-dimensional photonicbandgap structures operating at near-infrared wavelenghts,” Nature, vol. 383, pp. 699–702, 1996. [17] J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic crystals, molding the flow of light, 2nd edition. Princeton University Press, 2008. [18] P. Russell, “Photonic crystal fibers,” Science, vol. 299, no. 5605, pp. 358–362, 2003. [19] L. Brillouin, “Diffusion de la lumière et des rayons X par un corps transparent homogène, influence de l’agitation thermique,” Ann. Phys., vol. 17, pp. 88–122, 1922. [20] R. Lucas and P. Biquard, “Propriétés optiques des milieux solides et liquides soumis aux vibrations élastiques ultrasonores,” J. Physique, vol. 10, pp. 464– 477, 1922. [21] M. M. de Lima Jr. and P. V. Santos, “Modulation of photonic structures by surface acoustic waves,” Rep. Prog. Phys., vol. 68, pp. 1639–1701, 2005. [22] C. Gorecki, F. Chollet, E. Bonnotte, and H. Kawakatsu, “Silicon-based integrated interferometer with phase modulation driven by surface acoustic waves,” Opt. Lett., vol. 22, no. 23, pp. 1784–1786, 1997. [23] M. M. de Lima Jr., M. Beck, R. Hey, and P. V. Santos, “Compact Mach-Zehnder acousto-optic modulator,” Appl. Phys. Lett., vol. 89, p. 121104, 2006. [24] M. Beck, M. M. de Lima Jr., and P. V. Santos, “Acousto-optical multiple interference devices,” J. Appl. Phys., vol. 103, p. 014505, 2008. [25] P. De Heyn, A compact optical frequency shifter using a multi-branch waveguide interferometer. Master thesis, Department of Information Technology, Ghent University, 2009. [26] U. Basu and A. K. Chopra, “Perfectly matched layers for time-harmonic elastodynamics of unbounded domains: theory and finite-element implementation,” Comput. Methods Appl. Mech. Eng., vol. 192, pp. 1337–1375, 2003. [27] R. D. Cook, D. S. Malkus, M. E. Plesha, and R. S. Witt, Concepts and applications of finite element analysis, 4th edition. Wiley, New York, 2004.
References 61 [28] COMSOL Reference Manual for COMSOL 3.5, COMSOL AB, Stockholm, www.comsol.se. [29] M. P. Bendsøe and N. Kikuchi, “Generating optimal topologies in structural design using a homogenization method,” Comput. Methods Appl. Mech. Engrg., vol. 71, pp. 197–224, 1988. [30] M. P. Bendsøe and O. Sigmund, Topology optimization, theory, methods and applications. Springer, Berlin, 2003. [31] H. L. Thomas, M. Zhou, and U. Schramm, “Issues of commercial optimization software development,” Struct. Multidiscip. Optim., vol. 23, pp. 97–110, 2002. [32] A. R. Díaz and N. Kikuchi, “Solution to shape and topology eigenvalue optimization problems using a homogenization method,” Int. J. Numer. Mech. Eng., vol. 35, pp. 1487–1502, 1992. [33] N. L. Pedersen, “Maximization of eigenvalues using topology optimization,” Struct. Multidisc. Optim., vol. 20, no. 1, pp. 2–11, 2000. [34] J. B. Du and N. Olhoff, “Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps,” Struct. Multidisc. Optim., vol. 34, no. 2, pp. 91–110, 2007. [35] Z. D. Ma, N. Kikuchi, and H. C. Chen, “Topological design for vibrating structures,” Comput. Methods Appl. Mech. Engrg., vol. 121, pp. 259–280, 1995. [36] C. S. Jog, “Topology design of structures subjected to periodic loading,” J. Sound Vib., vol. 253, no. 3, pp. 687–709, 2002. [37] J. B. Du and N. Olhoff, “Minimization of sound radiation from vibrating bimaterial structures using topology optimization,” Struct. Multidisc. Optim., vol. 33, no. 4-5, pp. 305–321, 2007. [38] N. Olhoff and J. B. Du, “Topological design for minimum dynamic compliance of continuum structures subjected to forced vibration,” Struct. Multidisc. Optim., in press, 2009. [39] O. Sigmund and J. S. Jensen, “Systematic design of phononic band-gap materials and structures by topology optimization,” Phil. Trans. R. Soc. Lond. A, vol. 361, pp. 1001–1019, 2003. [40] S. Halkjær, O. Sigmund, and J. S. Jensen, “Inverse design of phononic crystals by topology optimization,” Z. Kristallogr., vol. 220, no. 9-10, pp. 895–905, 2005. [41] S. Halkjær, O. Sigmund, and J. S. Jensen, “Maximizing band gaps in plate structures,” Struct. Multidisc. Optim., vol. 32, no. 4, pp. 263–275, 2006.
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Optimization of acoustic, optical a
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Title of the thesis: Optimization o
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Resumé (in Danish) Forskningsomr˚
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Publications The following publicat
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vi Contents 6 Design of acousto-opt
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2 Chapter 1 Introduction waves. The
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4 Chapter 2 Time-harmonic propagati
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083529-2 M. B. Dühring and O. Sigm
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Publication [P5] Design of acousto-
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Figure 1: The geometry used in the
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where ˜pijkl are the rotated strai
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where ∂Φ ∂w R 2,n − i ∂Φ
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Figure 3: The distribution of the o
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[12] J.S. Jensen and O. Sigmund, To
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Energy storage and dispersion of su
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093504-3 Dühring, Laude, and Kheli
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093504-5 Dühring, Laude, and Kheli
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Publication [P7] Improving surface
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FIG. 1: The geometry of the acousto
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finer mesh. For the coupled model i
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FIG. 4: Results for the finite mode
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FIG. 6: Results for the acousto-opt
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Suzuki, A. Onoe, T. Adachi and K. F
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Maria Bayard Dühring - Solid Mechanics

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