White-light interferometry using a channeled spectrum. 2. Calibration methods, numerical and experimental results
2007
In the companion paper, [Appl. Opt. 46, 5853 (2007)] a highly accurate white
light interference model was developed from just a few key parameters characterized in
terms of various moments of the source and instrument transmission function. We develop
and implement the end-to-end process of calibrating these moment parameters together
with the differential dispersion of the instrument and applying them to the algorithms
developed in the companion paper. The calibration procedure developed herein is based on
first obtaining the standard monochromatic parameters at the pixel level: wavenumber,
phase, intensity, and visibility parameters via a nonlinear least-squares procedure that
exploits the structure of the model. The pixel level parameters are then combined to
obtain the required "global" moment and dispersion parameters. The process is applied to
both simulated scenarios of astrometric observations and to data from the microarcsecond
metrology testbed (MAM), an interferometer testbed that has played a prominent role in
the development of this technology.
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