Aufsatz
Three-dimensional transfer function of optical microscopes in reflection mode
Zusammenfassung
Three-dimensional (3D) transfer functions build the basis for a comprehensive characterization of optical imaging systems in the spatial frequency domain. Utilizing the projection-slice theorem, the 2D modulation transfer function of an incoherent imaging system can be derived from a 3D transfer function by integration with respect to the axial spatial frequency. For a diffraction limited microscope with homogeneous incoherent pupil illumination, the modulation transfer function equals the 2D autocorrelation function of a circular disc. However, until now to the best of our knowledge no 3D transfer function has been published, which exactly leads to the 2D modulation transfer function of a diffraction limited microscope in reflection mode. In this article, we derive a formula, which after integration with respect to the axial spatial frequency coordinate perfectly fits to the diffraction limited 2D modulation transfer function. The inverse three-dimensional Fourier transform of the 3D transfer function results in a complex-valued 3D point spread function, from which the depth of field, the lateral resolution and, in addition, the corresponding 3D point spread function of both, a conventional and an interference microscope, can be obtained.
Zitierform
In: Journal of Microscopy Volume 284 / Issue 1 (2021-06-16) , S. 45-55 ; eissn:1365-2818Förderhinweis
Gefördert im Rahmen des Projekts DEAL; Deutsche Forschungsgemeinschaft. Grant Numbers: LE 992 14-1, LE 992 16-1Zitieren
@article{doi:10.17170/kobra-202109224794,
author={Lehmann, Peter and Pahl, Tobias},
title={Three-dimensional transfer function of optical microscopes in reflection mode},
journal={Journal of Microscopy},
year={2021}
}
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2021-10-05T12:35:12Z 2021-10-05T12:35:12Z 2021-06-16 doi:10.17170/kobra-202109224794 http://hdl.handle.net/123456789/13283 Gefördert im Rahmen des Projekts DEAL; Deutsche Forschungsgemeinschaft. Grant Numbers: LE 992 14-1, LE 992 16-1 eng Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ 3D point spread function 3D spatial frequency characterization microscopy reflection mode transfer function 600 Three-dimensional transfer function of optical microscopes in reflection mode Aufsatz Three-dimensional (3D) transfer functions build the basis for a comprehensive characterization of optical imaging systems in the spatial frequency domain. Utilizing the projection-slice theorem, the 2D modulation transfer function of an incoherent imaging system can be derived from a 3D transfer function by integration with respect to the axial spatial frequency. For a diffraction limited microscope with homogeneous incoherent pupil illumination, the modulation transfer function equals the 2D autocorrelation function of a circular disc. However, until now to the best of our knowledge no 3D transfer function has been published, which exactly leads to the 2D modulation transfer function of a diffraction limited microscope in reflection mode. In this article, we derive a formula, which after integration with respect to the axial spatial frequency coordinate perfectly fits to the diffraction limited 2D modulation transfer function. The inverse three-dimensional Fourier transform of the 3D transfer function results in a complex-valued 3D point spread function, from which the depth of field, the lateral resolution and, in addition, the corresponding 3D point spread function of both, a conventional and an interference microscope, can be obtained. open access Lehmann, Peter Pahl, Tobias doi:10.1111/jmi.13040 Grant Numbers: LE 992 14-1, LE 992 16-1 Dimension 3 Mikroskopie Übertragungsfunktion Optische Abbildung publishedVersion eissn:1365-2818 Issue 1 Journal of Microscopy 45-55 Volume 284 false
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