Physikingenieurwesen (PHY)
- Physikalische Technik
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Image-sharpness metrics can be used to optimize optical systems and to control wavefront sensorless adaptive
optics systems. We show that for an aberrated system, the numerical value of an image-sharpness metric can be
improved by adding specific aberrations. The optimum amplitudes of the additional aberrations depend on the
power spectral density of the spatial frequencies of the object.
With a view to future large space telescopes, we investigate image-based wavefront correction with active optics. We use an image-sharpness metric as merit function to evaluate the image quality, and the Zernike modes as control variables. In severely aberrated systems, the Zernike modes are not orthogonal to each other with respect to this merit function. Using wavefront maps, the PSF, and the MTF, we discuss the physical causes for the non-orthogonality of the Zernike modes with respect to the merit function. We show that for combinations of Zernike modes with the same azimuthal order, a flatter wavefront in the central region of the aperture is more important than the RMS wavefront error across the full aperture for achieving a better merit function. The non-orthogonality of the Zernike modes with respect to the merit function should be taken into account when designing the algorithm for image-based wavefront correction, because it may slow down the process or lead to premature convergence.