Paper
14 May 2010 A new method to validate the usage of Fresnel approximation instead of Kirchhoff diffraction formula for calculations concerning camera systems
Ulrike Talbiersky
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Abstract
The usage of Fresnel diffraction as an approximation of the Kirchhoff formula offers a large variety of advantages concerning diverse calculations for camera systems. However, Fresnel approximations cannot be applied to arbitrary camera systems. For configurations with wide aperture, e.g., the usage of Fresnel approximation is not possible without accepting an unagreeable deviation. It is important to check in advance if a camera system allows such an approximation for the needed calculations. Assuming that focal length f and ground distance g are given quantities, investigations of the real and complex integrands lead to a formula from which the minimal F-number f# (respectively the maximum aperture radius r) is derived, so that Fresnel approximations can still be applied to a system. The analytical results are supported by numerical calculations and audited for three camera configurations outlined for remote sensing.
© (2010) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Ulrike Talbiersky "A new method to validate the usage of Fresnel approximation instead of Kirchhoff diffraction formula for calculations concerning camera systems", Proc. SPIE 7717, Optical Modelling and Design, 77170Z (14 May 2010); https://doi.org/10.1117/12.848683
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KEYWORDS
Cameras

Point spread functions

Imaging systems

Satellites

Diffraction

Modulation transfer functions

Optical transfer functions

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