Huygens-Fresnel principle and the spatial bandwidth of an optical system

V. Borovytsky

doi:10.1117/12.2304913

18 January 2018 Huygens-Fresnel principle and the spatial bandwidth of an optical system

V. Borovytsky

Proceedings Volume 10612, Thirteenth International Conference on Correlation Optics; 106120F (2018) https://doi.org/10.1117/12.2304913
Event: Thirteenth International Conference on Correlation Optics, 2017, Chernivtsi, Ukraine

Abstract

The paper describes the approach for identification of the spatial bandwidth of an optical system in the lateral and axial directions. This approach considers application of Huygens-Fresnel principle to obtain the integral for calculation of amplitude distribution near a focal point. The replacement of integration variables leads to identification of the limits of integration in a space of spatial frequencies. These limits are the spatial cutoff frequencies for amplitude distribution. Doubling these values produces the spatial cutoff frequencies for intensity distribution and it shows the same result as Abbe theory predicts. The proposed approach can be used for mathematical explanation why optical systems have limited spatial resolution and why the spatial harmonics with high frequencies can not pass through an optical system.

Citation Download Citation

V. Borovytsky "Huygens-Fresnel principle and the spatial bandwidth of an optical system", Proc. SPIE 10612, Thirteenth International Conference on Correlation Optics, 106120F (18 January 2018); https://doi.org/10.1117/12.2304913

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