S. Doe, A. Siemiginowska, W. Joye, J. McDowell
SAO
As part of the ASC (AXAF Science Center) Data Analysis Environment, we
will provide a Fitting Application to the astronomical community. We
present a design of the Application in this paper. Our design goal is
to give the user the flexibility to use a variety of optimization
techniques (Levenberg-Marquardt, maximum entropy, Monte Carlo, Powell,
downhill simplex, Cern-Minuit, and simulated annealing) and fit
statistics ( , Cash, variance, and maximum likelihood); our
modular design allows the user to easily add their own optimization
techniques and/or fit statistics. We also present a comparison of the
optimization techniques to be provided by the Application. The high
spatial and spectral resolutions that will be obtained with AXAF
instruments require a sophisticated data modeling capability. Models
will be represented in both ``analytical'' form (i.e., as
parameterized models, or functions) and ``digital'' form (as arrays of
``predicted'' data points, calculated over some data subspace). We
will provide not only a suite of astronomical spatial and spectral
source models, but also the capability to combine these models into
source models of up to four data dimensions (i.e., into source
functions f(E,x,y,t)). The ASC will provide users with detailed
calibration files specifying the performances of the AXAF mirrors,
gratings, and instruments; thus, we provide tools to create instrument
response models which are appropriate for each observation.