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Obtaining the Transfer Function of optical instruments using large calibrated reference objects
journal contributionposted on 09.10.2015, 12:49 authored by A.J. Henning, Jonathan Huntley, C.L. Giusca
It has been suggested recently that the Transfer Function of instruments such as Coherence Scanning Interferometers could be measured via a single measurement of a large spherical artefact [Appl. Opt. 53(8), 1554–1563 (2014)]. In the current paper we present analytical solutions for the Fourier transform of the ’foil’ model used in this technique, which thus avoids the artefacts resulting from the numerical approach used earlier. The Fourier transform of a partial spherical shell is found to contain points of zero amplitude for spatial frequencies that lie within the Transfer Function. This implies that the Transfer Function is unmeasurable at these points when a single spherical artefact is used, in situations where the foil model is a valid representation of the physical system. We propose extensions to the method to address this issue.
This work was funded by the NMS Engineering & Flow Metrology Programme 2011 - 2014 and the EMRP project Microparts. The EMRP is jointly funded by the EMRP participating countries within EURAMET and the European Union.
- Mechanical, Electrical and Manufacturing Engineering