Modeling and optimization of deformable surfaces and structures

A fundamental element of adaptive optics is the deformable mirror, correcting distorted wavefronts in an astronomical telescope. By transforming the surface of the deformable mirror, i.e., shifting the phase of the wavefront via a local change in optical path length optical aberrations are canceled. Design parameters like actuator positioning, coupling and stroke, surface thickness, influence function, and dynamical behavior are essential factors which influence the aberration correction performance. Due to conflicting requirements and an increasing need for higher resolution and image quality, it demands approaches for improving the central understanding of parameter impacts.

By creating a detailed model in discrete form, the topology can be analyzed and optimized. In the design of topology as a structure, we are interested in determining the optimal distribution of local deformations and its influence on the surface still providing continuous features suitable for the mirror. The optimization of the geometry and topology of the structural layout has a great impact on the surface performance and will reduce the fitting error between the actual wavefront and mirror surface giving a high level of accuracy in representation. We anticipate that the results can be applied to different kinds of deformable mirrors independent of the actuator type as well as for other areas of application in which deformable surfaces and structures are central elements in an overall system.