Three-dimensional transfer function of optical microscopes in reflection mode
| dc.date.accessioned | 2021-10-05T12:35:12Z | |
| dc.date.available | 2021-10-05T12:35:12Z | |
| dc.date.issued | 2021-06-16 | |
| dc.identifier | doi:10.17170/kobra-202109224794 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/13283 | |
| dc.description.sponsorship | Gefördert im Rahmen des Projekts DEAL; Deutsche Forschungsgemeinschaft. Grant Numbers: LE 992 14-1, LE 992 16-1 | ger |
| dc.language.iso | eng | eng |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.subject | 3D point spread function | eng |
| dc.subject | 3D spatial frequency characterization | eng |
| dc.subject | microscopy | eng |
| dc.subject | reflection mode | eng |
| dc.subject | transfer function | eng |
| dc.subject.ddc | 600 | |
| dc.title | Three-dimensional transfer function of optical microscopes in reflection mode | eng |
| dc.type | Aufsatz | |
| dcterms.abstract | 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. | eng |
| dcterms.accessRights | open access | |
| dcterms.creator | Lehmann, Peter | |
| dcterms.creator | Pahl, Tobias | |
| dc.relation.doi | doi:10.1111/jmi.13040 | |
| dc.relation.projectid | Grant Numbers: LE 992 14-1, LE 992 16-1 | |
| dc.subject.swd | Dimension 3 | ger |
| dc.subject.swd | Mikroskopie | ger |
| dc.subject.swd | Übertragungsfunktion | ger |
| dc.subject.swd | Optische Abbildung | ger |
| dc.type.version | publishedVersion | |
| dcterms.source.identifier | eissn:1365-2818 | |
| dcterms.source.issue | Issue 1 | |
| dcterms.source.journal | Journal of Microscopy | eng |
| dcterms.source.pageinfo | 45-55 | |
| dcterms.source.volume | Volume 284 | |
| kup.iskup | false |
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