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Numerical evaluation of a class of integrals for image assessment

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Abstract

The calculation of image assessment critiera, e.g., the Strehl ratio, the point spread function, or the optical transfer function, involves the evaluation of an integral where the integrand is highly oscillatory over a large range of integration. Prefaced with a brief description of the well-known numerical quadrature methods adopted for the purpose, this paper presents a new quadrature technique that obviates the need for knowledge of derivatives of the argument of the exponential integrand. Some illustrative numerical results are presented.

© 1988 Optical Society of America

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