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Maria Bayard Dühring - Solid Mechanics

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56 Chapter 7 Concluding remarks<br />

designs when optimizing a new problem.<br />

Another disadvantage is that the optimized designs in general are complicated<br />

with details comparable to the size of the wavelength. By collaborating with researchers<br />

during the project, who work with the fabrication and testing of the SAW<br />

structures and optical devices, the experimental limitations could be taken into account.<br />

This has led to the study of simplified designs inspired by the optimized<br />

results. Their performance were in general not as good as for the optimized designs,<br />

but improvements compared to the initial designs were obtained.<br />

In the case of interaction between SAWs and optical waves in waveguides, both<br />

mechanical and optical factors have an influence on the performance and can enhance<br />

or counteract each other’s effects. The simulations with the coupled model are thus<br />

crucial in order to understand the acousto-optical interaction and to design the<br />

devices. The interaction has been improved by topology optimization based on<br />

the piezoelectric model, which resulted in detailed designs that are complicated to<br />

fabricate. In contrast to topology optimization, experimental aspects and fabrication<br />

issues can be taken directly into consideration when optimizing the interaction by<br />

parameter studies of the geometry. The improvements gained by the parameter<br />

studies were significant for both thin and high aspect ratio electrodes and the design<br />

changes can be introduced in the experimental setups by the existing fabrication<br />

techniques.<br />

7.1 Future work<br />

The studied simulation and optimization methods can be exploited further either to<br />

improve the studied problems additionally or to extend the methods to other types<br />

of wave propagation phenomena.<br />

The problems in this work are simplified in different ways and the focus has<br />

in general been on 2D problems. Extensions to 3D problems should be exploited<br />

in order to investigate if the optimized structures are similar in 3D or if they are<br />

fundamentally different and take advantage of other physical effects. Many types of<br />

problems have to be studied by a 3D model as for instance the effects of the optical<br />

waves propagating along the photonic-crystal fiber or the waveguide. In order to<br />

design structures that guide and control surface acoustic waves in the out of plane<br />

direction, as focusing IDTs, a 3D model is necessary as well. The computation time<br />

and the use of memory increase significantly with the addition of the third dimension<br />

and even though parallel computing is now possible within Comsol Multiphysics, the<br />

simulations are still limited to smaller 3D problems. The effects of other physical<br />

phenomena as the temperature increase in the SAW devices, the mechanical deformation<br />

of the optical waveguides, the sound wave and structure interaction as well<br />

as the effect of bending the optical fiber, can be incorporated into the models and<br />

the influence on the device performance can be studied.<br />

It is relevant to test the method of topology optimization for other expressions<br />

of the objective functions. First of all it can be investigated if the performance of

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