White light fringe modeling for the SIM CCD detector.

Details White light fringe modeling for the SIM CCD detector. White light fringe modeling for the SIM CCD detector.

Dec 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000aas...197.1406t&link_type=abstract

American Astronomical Society, 197th AAS Meeting, #14.06; Bulletin of the American Astronomical Society, Vol. 32, p.1425

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Scientific paper

This paper addresses the issue of the white light fringe modeling as needed for the phase information extraction with the Space Interferometry Mission (SIM) CCD detector. We developed a set of analytic expressions for the white light fringe estimation using the complex visibility phasors. The obtained expressions are valid for an arbitrary number of detector spectral channels and for an arbitrary number and sizes of the PZT dither steps. In particular, the expressions may be used to obtain estimators of the real, Xl, and imaginary, Yl, phasors, as well as for the total intensity of light in the l-th spectral channel P0l that are given as: \small \begin{eqnarray} X_\ell\equiv P_{0\ell} V_{0\ell}\cos {\phi}_{\ell} &=&{1}/{D}_\ell} \sum^N_{j=1} K_{\ell j} A_{\ell j}, \nonumber [6pt] Y_\ell\equiv P_{0\ell} V_{0\ell}\sin {\phi}_{\ell} &=& \frac{1}{{D}_\ell} \sum^N_{j=1} K_{\ell j} B_{\ell j}, \nonumber [6pt] P_{0\ell}&=&\frac{1}{D_\ell}\sum^N_{j=1} K_{\ell j} C_{\ell j}, \nonumber \normalsize where K{l j} being the flux registered by CCD detector at l-th channel at the j-th PZT dither step. Coefficients A{l j}, Blj, Cl j and Dl that depend only on the sizes of individual PZT steps, the width of a particular spectral channel Δ kl with the mean wavenumber kl and corresponding wavelength λ l, and on the photon statistics for a particular temporal bin. Index j is a summation index that defines a particular temporal bin; index l is used to define a particular spectral channel. We discuss implementation of this formalism for the SIM detector in light of our simulations of the residual group delay estimation and suggest directions for further research on this problem. This work was performed by the Jet Propulsion Laboratory, California Institute of Technology, under contract with the National Aeronautics and Space Administration.

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