The MATPHOT Algorithm for Digital Point Spread Function CCD Stellar Photometry

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

Most CCD stellar photometric reduction packages use analytical functions to represent the stellar Point Spread Function (PSF). These PSF-fitting programs generally compute all the major partial derivatives of the observational model by differentiating the volume integral of the PSF analytical function over a CCD pixel. Deviations of the real-world PSF from the analytical PSF representation are then generally stored in a residual matrix. Diffraction rings and spikes can provide a great deal of information about the position of a star, yet information about such common observational effects generally resides only in the residual matrix. Such useful information is generally not used in the PSF-fitting process except for the final step involving the determination of the chi-square goodness-of-fit between the CCD observation and the model where the intensity-scaled residual matrix is added to the mathematical model of the observation just before the goodness-of-fit is computed. I describe and demonstrate some of the key features of my MATPHOT algorithm for digital PSF-fitting CCD stellar photometry where the PSF is represented by a matrix of numbers (e.g., a FITS image file) and the position partial derivatives are determined using numerical differentiation techniques. I show how critically-sampled or under-sampled data can be accurately photometered using over-sampled digital PSFs. I discuss the advantages and disadvantages of MATPHOT with respect to traditional PSF-fitting algorithms based on analytical representations of the PSF. A detailed MATPHOT analysis of simulated Next Generation Space Telescope CCD observations is presented which shows that millipixel relative astrometry with millimag photometric errors is feasible with digital PSFs. The C source code and documentation for MATPHOT is currently being distributed as part of my MXTOOLS package for IRAF (http://www.noao.edu/staff/mighell/mxtools). This work is supported by a grant from NASA, Order No. S-67046-F, which was awarded by the Long-Term Space Astrophysics (LTSA) program.

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