A new method to validate the usage of Fresnel approximation instead of Kirchhoff diffraction formula for calculations concerning camera systems

Ulrike Talbiersky

doi:10.1117/12.848683

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

Author Affiliations +

Proceedings Volume 7717, Optical Modelling and Design; 77170Z (2010) https://doi.org/10.1117/12.848683
Event: SPIE Photonics Europe, 2010, Brussels, Belgium

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.

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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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