Universität Stuttgart
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Item Open Access Auslegung von Kompensationssystemen zur interferometrischen Prüfung asphärischer Flächen(1984) Dörband, Bernd; Tiziani, Hans J.Bei der interferometrischen Prüfung rotationssymmetrischer asphärischer Flächen werden sogenannte Kompensationssysteme verwendet, deren Anpassung an die Asphäre wegen zusätzlicher Verwendung eines Computerhologramms nur näherungsweise erforderlich ist. Beschrieben wird das Vorgehen für den Gaussischen und Seidelschen Entwurf eines ein- und zweilinsigen Kompensationssystems: Die von Einzellinsen abgedeckten Kegelschnittbereiche und Beispiele für die Erweiterung der Bereiche durch zweilinsige Systeme werden diskutiert. An einem Beispiel wird gezeigt, daß bei Abbildung der asphärischen Fläche in das Computerhologramm oftmals eine Gaussische Auslegung genügt. Es werden Beispiele und Hinweise zur Auslegung bei starken Asphären gegeben.Item Open Access Testing aspheric surfaces with computer-generated holograms : analysis of adjustment and shape errors(1985) Dörband, Bernd; Tiziani, Hans J.Various interferometric methods can be used for testing aspheric surfaces with high accuracy. Using a partially compensating lens in a Twyman-Green arrangement together with a computer-generated hologram instead of a null corrector gives great flexibility. For quantitative analysis a high-resolution automatic fringe analysis is necessary. The interferometric arrangement and the setup for the interferogram data acquisition are described along with different algorithms for calculating the wave front data. Tilt and decentering of the aspheric surface and the synthetic hologram as well as the actual aspherical parameters can be derived from the calculated wave front using Zernike polynomials to communicate with a ray tracing program. For small adjustment and shape errors the linearity will hold, leading to fast correction and numerical compensation of their effects on the surface error. The method is verified by several examples. Experimental results agree with the proposed model.Item Open Access On the application of synthetic holograms for testing aspheric surfaces(1984) Tiziani, Hans J.; Dörband, BerndComputer generated holograms (CGH) can be used for testing a widespread range of aspheric surfaces with high accuracy. Different, holographic configuration can be used; for the information storage, photographic material is very often appropriate. Two beam interferometric arrangement in which both beams pass through the CGH is desirable in order to compensate inhomogenities of the hologram storage material. For symetrlcal optical systems to be tested, in-line(Gabor-Type) and off axis CGH are applied. Although we use both configurations we prefer often off-axis arrangements The implementation of the technique requires the analysis of errors due to the testing procedurs as well as to additional optical component in the beam to be analysed and the manufacturing of the OGH. Automatic fringe analysis is very useful and will be discussed. A two wavelength technique can be used to reduce the sensitivity.