Maria Bayard Dühring - Solid Mechanics
Maria Bayard Dühring - Solid Mechanics Maria Bayard Dühring - Solid Mechanics
32 Chapter 5 Design of photonic-crystal fibers by topology optimization [P2]
Chapter 6 Design of acousto-optical interaction [P3]-[P7] An acoustic and an optical wave problem have been studied, respectively, in the two previous chapters and structures have been optimized by the method of topology optimization. In this chapter the last and most complicated wave problem is considered where the acousto-optical interaction between surface acoustic waves and optical waves in channel waveguides is investigated. The chapter gives an overview of the work presented in publication [P3]-[P7]. 6.1 Introduction The propagation of surface acoustic waves (SAW) is confined to a material surface and two main types of waves exist. The Rayleigh wave is polarized in the longitudinal and transverse, vertical directions and the other type is mainly polarized in the shear horizontal direction such as the Bleustein-Gulyaev wave [7]. In piezoelectric materials SAWs can be generated by the inverse piezoelectric effect by interdigital transducers (IDTs), which are arrays of electrode fingers deposited on the surface. The electrode fingers determine the wavelength and the width of the beam as indicated in figure 6.1(a). When the electrode height is small the wave properties of the excited waves are similar to the waves propagating on a free surface. Conventional SAW devices as filters, resonators and sensors as well as the new acousto-optical devices are driven by IDTs with thin electrodes. However, when the aspect ratio of Figure 6.1 Interdigital transducers to generate surface acoustic waves. (a): Double-finger IDT with thin electrodes. The interferometer setup to measure the wave amplitude by a laser is sketched. (M.M. de Lima Jr. et al. [21]). (b) and (c): Scanning electron microscope image of IDT with high aspect ratio electrodes. The substrate is lithium niobate and the electrodes consist of nickel. (V. Laude et al. [81]). 33
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Chapter 6<br />
Design of acousto-optical interaction [P3]-[P7]<br />
An acoustic and an optical wave problem have been studied, respectively, in the two<br />
previous chapters and structures have been optimized by the method of topology<br />
optimization. In this chapter the last and most complicated wave problem is considered<br />
where the acousto-optical interaction between surface acoustic waves and<br />
optical waves in channel waveguides is investigated. The chapter gives an overview<br />
of the work presented in publication [P3]-[P7].<br />
6.1 Introduction<br />
The propagation of surface acoustic waves (SAW) is confined to a material surface<br />
and two main types of waves exist. The Rayleigh wave is polarized in the longitudinal<br />
and transverse, vertical directions and the other type is mainly polarized in the<br />
shear horizontal direction such as the Bleustein-Gulyaev wave [7]. In piezoelectric<br />
materials SAWs can be generated by the inverse piezoelectric effect by interdigital<br />
transducers (IDTs), which are arrays of electrode fingers deposited on the surface.<br />
The electrode fingers determine the wavelength and the width of the beam as indicated<br />
in figure 6.1(a). When the electrode height is small the wave properties of the<br />
excited waves are similar to the waves propagating on a free surface. Conventional<br />
SAW devices as filters, resonators and sensors as well as the new acousto-optical<br />
devices are driven by IDTs with thin electrodes. However, when the aspect ratio of<br />
Figure 6.1 Interdigital transducers to generate surface acoustic waves. (a): Double-finger<br />
IDT with thin electrodes. The interferometer setup to measure the wave amplitude by a<br />
laser is sketched. (M.M. de Lima Jr. et al. [21]). (b) and (c): Scanning electron microscope<br />
image of IDT with high aspect ratio electrodes. The substrate is lithium niobate and the<br />
electrodes consist of nickel. (V. Laude et al. [81]).<br />
33