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16 September 1992 Algorithms for the prediction of radiometric performance of nondiffraction-limited optical sensors
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Abstract
The determination of the radiant power distribution at the focal plane is necessary for the numerical prediction of sensor radiometric performance. In a diffraction limited system with a circular pupil and central obscuration, the energy distribution can be calculated by numerical integration of the appropriate Bessel function(s). However, not all optical systems are that simple. The determination of the energy distribution for non-diffraction limited systems and systems having arbitrary pupil shapes is of practical importance but requires a more complicated analysis. The paper provides, in a 'cookbook' fashion, the algorithms necessary for the prediction of the focal plane power distribution in diffraction and non-diffraction limited optical systems with arbitrarily shaped pupils. The sensor pupil function, comprised of amplitude and phase, may be defined by the optical design or may be obtained by interferometric measurements performed on an existing system. The pupil function, expressed in complex notation, is processed through a two-dimensional fast Fourier transform, interpolated and scaled to provide the focal plane energy distribution. In addition to an algebraic description of the necessary algorithms, the paper includes code written in the C- language and numerical examples suitable for validation.
© (1992) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Carl F. Dadson "Algorithms for the prediction of radiometric performance of nondiffraction-limited optical sensors", Proc. SPIE 1690, Design of Optical Instruments, (16 September 1992); https://doi.org/10.1117/12.137987
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