Abstract

The transfer function can be determined by convolution of the pupil function over the aperture. The pupil function itself is a function of the design data of the lens system (i.e., refractive indices, radii of curvature, etc.) Of particular importance, both practically and theoretically, is the frequency response on-axis where only rotationally symmetric aberrations are present. The aberration function is obtained from an integration over the ray-trace data and is curve-fitted by Chebyschev interpolation. Unlike the least-squares method, the Chebyschev approach allows a uniform approximation over the interval. This data is substituted into the transfer function which is numerically evaluated by application of very high-order Gauss quadrature theory.

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