Maria Bayard Dühring - Solid Mechanics

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Title of the thesis: Optimization of acoustic, optical and optoelastic devices Ph.D. student: Maria Bayard Dühring E-mail: mbd@mek.dtu.dk Supervisors: Ole Sigmund E-mail: sigmund@mek.dtu.dk Jakob Søndergaard Jensen E-mail: jsj@mek.dtu.dk Address: Department of Mechanical Engineering, Solid Mechanics Technical University of Denmark Nils Koppels Allé, Building 404, 2800 Kgs. Lyngby, Denmark Copyright c○ 2009 Maria Bayard Dühring
Preface This thesis is submitted in partial fulfillment of the requirements for obtaining the degree of Ph.D. in mechanical engineering at the Technical University of Denmark (DTU). The Ph.D. project was funded by DTU and carried out at the Department of Mechanical Engineering, Solid Mechanics, at DTU in the period February 1 st 2006 - July 31 st 2009. Supervisors on the project were Professor Dr.techn. Ole Sigmund and Associate Professor Ph.D. Jakob Søndergaard Jensen from the department. I am very grateful to my two supervisors for their inspiring support and for always taking their time to discuss the work and the results during the project. I would also like to thank Martin P. Bendsøe, who was my co-supervisor until January 1 st 2009, for our beneficial collaboration. I would like to express my gratitude to the partners from the joint research group Photonic Switches and Modulators based on Surface Acoustic Waves of ePIXnet - the European Network of Excellence on Photonic Integrated Components and Circuits Paulo V. Santos and Markus Beck from Paul-Drude-Institut für Festkörperelektronik, Berlin, Germany, and Mike van der Poel, Elaine C. Saraiva Barretto and Peter De Heyn from Department of Photonics Engineering, DTU, for the successful collaboration and for the help to understand the experimental aspects related to my theoretical work. A part of this work was carried out with Vincent Laude and Abdelkrim Khelif at Institute FEMTO-ST, Besançon, France, during my 5 month stay in autumn 2007 and winter 2008. I am very grateful that the stay was made possible and for the new academic input in a friendly and welcoming atmosphere. During my 6 months leave in the spring 2008 I worked with Thomas Feurer at the Institute of Applied Physics, University of Bern, Switzerland, and would like to thank him for his support and inspiration related to the work about photonic-crystal fibers. I am thankful to Krister Svanberg at Royal Institute of Technology, Sweden, who has granted me permission to use the MMA-code. The support form the Eurohorcs/ESF European Young Investigator Award (EURYI, www.esf.org/euryi) through the grant ”Synthesis and topology optimization of optomechanical systems” and from the Danish Center for Scientific Computing is also gratefully acknowledged. I finally wish to thank my colleagues in the TopOpt Group, at the section of Solid Mechanics and in particular the other phd-students for creating a cheerful and inspiring working environment. Kgs. Lyngby, July 31 st 2009. Maria Bayard Dühring i
Page 1: Optimization of acoustic, optical a
Page 6 and 7: Resumé (in Danish) Forskningsomr˚
Page 8 and 9: Publications The following publicat
Page 10 and 11: vi Contents 6 Design of acousto-opt
Page 12 and 13: 2 Chapter 1 Introduction waves. The
Page 14 and 15: 4 Chapter 2 Time-harmonic propagati
Page 20 and 21: 10 Chapter 2 Time-harmonic propagat
Page 22 and 23: 12 Chapter 3 Topology optimization
Page 32 and 33: 22 Chapter 4 Design of sound barrie
Page 38 and 39: 28 Chapter 5 Design of photonic-cry
Page 44 and 45: 34 Chapter 6 Design of acousto-opti
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44 Chapter 6 Design of acousto-opti
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56 Chapter 7 Concluding remarks des
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58 Chapter 7 Concluding remarks
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60 References [14] E. Yablonovitch,
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62 References [42] A. A. Larsen, B.
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64 References [67] K. Svanberg, “
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Publication [P1] Acoustic design by
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558 In Ref. [3] it is studied how t
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560 2.2. Design variables and mater
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562 When the mesh size is decreased
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564 objective function, Φ [dB] 130
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566 ARTICLE IN PRESS Fig. 6. The di
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568 ~kðxÞ 1 ¼ k1 ARTICLE IN PRES
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570 ARTICLE IN PRESS M.B. Dühring
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572 ARTICLE IN PRESS M.B. Dühring
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574 frequency or the frequency inte
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Publication [P2] Design of photonic
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photonic-crystal fibers used for me
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2.2 Design variables and material i
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two air holes, is Λ = 3.1 µm, the
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Figure 4: The geometry of the cente
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performance will decrease and some
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[23] J. Riishede and O. Sigmund, In
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Surface acoustic wave driven light
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IDT GaAs AlGaAs 0.10 0.05 0.00 Ampl
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Publication [P4] Improving the acou
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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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