Tolerance analysis of optical telescopes using coherent addition of wavefront errors

Mathematics

Scientific paper

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Computerized Simulation, Error Functions, Fortran, Optical Measuring Instruments, Telescopes, Tolerances (Mechanics), Wave Fronts, Amplitudes, Attitude (Inclination), Computer Programs, Data Reduction, Diffraction, Mathematical Models, Polynomials

Scientific paper

A near diffraction-limited telescope requires that tolerance analysis be done on the basis of system wavefront error. One method of analyzing the wavefront error is to represent the wavefront error function in terms of its Zernike polynomial expansion. A Ramsey-Korsch ray trace package, a computer program that simulates the tracing of rays through an optical telescope system, was expanded to include the Zernike polynomial expansion up through the fifth-order spherical term. An option to determine a 3 dimensional plot of the wavefront error function was also included in the Ramsey-Korsch package. Several assimulation runs were analyzed to determine the particular set of coefficients in the Zernike expansion that are effected by various errors such as tilt, decenter and despace. A 3 dimensional plot of each error up through the fifth-order spherical term was also included in the study. Tolerance analysis data are presented.

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