Transformation equation from wavefront aberrations to ray aberrations based on coordinate frames in object space
Object and image spaces are widely used in geometrical optics to describe the functions of optical systems. However, the mapping between these two spaces is non-linear, meaning that a function expressed in coordinate frames in the image space cannot be directly applied in the object space, and vice...
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EDP Sciences
2025-01-01
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| Series: | Journal of the European Optical Society-Rapid Publications |
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| Online Access: | https://jeos.edpsciences.org/articles/jeos/full_html/2025/01/jeos20240067/jeos20240067.html |
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| author | Lin Psang Dain |
| author_facet | Lin Psang Dain |
| author_sort | Lin Psang Dain |
| collection | DOAJ |
| description | Object and image spaces are widely used in geometrical optics to describe the functions of optical systems. However, the mapping between these two spaces is non-linear, meaning that a function expressed in coordinate frames in the image space cannot be directly applied in the object space, and vice versa. For example, the relationship between the wavefront and ray aberrations given by Rayces J. (1964) Opt. Acta 11, 85–88. https://doi.org/10.1080/713817854 is valid for coordinate frames in the image space but fails for coordinate frames in the object space. To overcome this limitation, this study converts the wavefront-ray aberration relationship using the chain rule so that it can also be applied to coordinate frames in the object space. The numerical results obtained for the primary ray aberrations using the proposed converted relationship are shown to be in close agreement with the Zemax simulation results. |
| format | Article |
| id | doaj-art-83d218837fd2481aa69bd159ec69bbc0 |
| institution | DOAJ |
| issn | 1990-2573 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | Journal of the European Optical Society-Rapid Publications |
| spelling | doaj-art-83d218837fd2481aa69bd159ec69bbc02025-08-20T03:02:10ZengEDP SciencesJournal of the European Optical Society-Rapid Publications1990-25732025-01-01211810.1051/jeos/2025003jeos20240067Transformation equation from wavefront aberrations to ray aberrations based on coordinate frames in object spaceLin Psang Dain0https://orcid.org/0000-0003-0467-3053Department of Mechanical Engineering, National Cheng Kung UniversityObject and image spaces are widely used in geometrical optics to describe the functions of optical systems. However, the mapping between these two spaces is non-linear, meaning that a function expressed in coordinate frames in the image space cannot be directly applied in the object space, and vice versa. For example, the relationship between the wavefront and ray aberrations given by Rayces J. (1964) Opt. Acta 11, 85–88. https://doi.org/10.1080/713817854 is valid for coordinate frames in the image space but fails for coordinate frames in the object space. To overcome this limitation, this study converts the wavefront-ray aberration relationship using the chain rule so that it can also be applied to coordinate frames in the object space. The numerical results obtained for the primary ray aberrations using the proposed converted relationship are shown to be in close agreement with the Zemax simulation results.https://jeos.edpsciences.org/articles/jeos/full_html/2025/01/jeos20240067/jeos20240067.htmlwavefront aberrationsray aberrationsaxially symmetrical systemsobject sapce |
| spellingShingle | Lin Psang Dain Transformation equation from wavefront aberrations to ray aberrations based on coordinate frames in object space Journal of the European Optical Society-Rapid Publications wavefront aberrations ray aberrations axially symmetrical systems object sapce |
| title | Transformation equation from wavefront aberrations to ray aberrations based on coordinate frames in object space |
| title_full | Transformation equation from wavefront aberrations to ray aberrations based on coordinate frames in object space |
| title_fullStr | Transformation equation from wavefront aberrations to ray aberrations based on coordinate frames in object space |
| title_full_unstemmed | Transformation equation from wavefront aberrations to ray aberrations based on coordinate frames in object space |
| title_short | Transformation equation from wavefront aberrations to ray aberrations based on coordinate frames in object space |
| title_sort | transformation equation from wavefront aberrations to ray aberrations based on coordinate frames in object space |
| topic | wavefront aberrations ray aberrations axially symmetrical systems object sapce |
| url | https://jeos.edpsciences.org/articles/jeos/full_html/2025/01/jeos20240067/jeos20240067.html |
| work_keys_str_mv | AT linpsangdain transformationequationfromwavefrontaberrationstorayaberrationsbasedoncoordinateframesinobjectspace |