Mirror Prescription Regression: A Differential Interferometric Technique
We present a remote, differential method for measuring the prescription of aspheric mirrors using null interferometry in the center-of-curvature configuration. The method requires no equipment beyond that used in a basic interferometery setup (i.e., there are no shearing elements or absolute distanc...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Optics |
| Online Access: | http://dx.doi.org/10.1155/2010/201305 |
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| _version_ | 1832564774721814528 |
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| author | Brian M. Robinson Patrick J. Reardon Joseph M. Geary |
| author_facet | Brian M. Robinson Patrick J. Reardon Joseph M. Geary |
| author_sort | Brian M. Robinson |
| collection | DOAJ |
| description | We present a remote, differential method for measuring the prescription of aspheric mirrors using null interferometry in the center-of-curvature configuration. The method requires no equipment beyond that used in a basic interferometery setup (i.e., there are no shearing elements or absolute distance meters). We chose this configuration because of its widespread use. However, the method is generalizable to other configurations with an adjustment of the governing equation. The method involves taking a series of interferograms before and after small, known misalignments are applied to the mirror in the interferometry setup and calculating the prescription (e.g., radius of curvature and conic constant) of the mirror, based on these differential measurements, using a nonlinear regression. We apply this method successfully to the testing of a Space Optics Research Lab off-axis parabola with a known focal length of 152.4 mm, a diameter of 76.2 mm, and an off-axis angle of 12°. |
| format | Article |
| id | doaj-art-b0e744e2f61d441b9cde3c9f1d3a8a74 |
| institution | Kabale University |
| issn | 1687-9384 1687-9392 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Optics |
| spelling | doaj-art-b0e744e2f61d441b9cde3c9f1d3a8a742025-02-03T01:10:15ZengWileyInternational Journal of Optics1687-93841687-93922010-01-01201010.1155/2010/201305201305Mirror Prescription Regression: A Differential Interferometric TechniqueBrian M. Robinson0Patrick J. Reardon1Joseph M. Geary2Center for Applied Optics, University of Alabama in Huntsville, 301 Sparkman Drive Huntsville, AL 35899, USACenter for Applied Optics, University of Alabama in Huntsville, 301 Sparkman Drive Huntsville, AL 35899, USACenter for Applied Optics, University of Alabama in Huntsville, 301 Sparkman Drive Huntsville, AL 35899, USAWe present a remote, differential method for measuring the prescription of aspheric mirrors using null interferometry in the center-of-curvature configuration. The method requires no equipment beyond that used in a basic interferometery setup (i.e., there are no shearing elements or absolute distance meters). We chose this configuration because of its widespread use. However, the method is generalizable to other configurations with an adjustment of the governing equation. The method involves taking a series of interferograms before and after small, known misalignments are applied to the mirror in the interferometry setup and calculating the prescription (e.g., radius of curvature and conic constant) of the mirror, based on these differential measurements, using a nonlinear regression. We apply this method successfully to the testing of a Space Optics Research Lab off-axis parabola with a known focal length of 152.4 mm, a diameter of 76.2 mm, and an off-axis angle of 12°.http://dx.doi.org/10.1155/2010/201305 |
| spellingShingle | Brian M. Robinson Patrick J. Reardon Joseph M. Geary Mirror Prescription Regression: A Differential Interferometric Technique International Journal of Optics |
| title | Mirror Prescription Regression: A Differential Interferometric Technique |
| title_full | Mirror Prescription Regression: A Differential Interferometric Technique |
| title_fullStr | Mirror Prescription Regression: A Differential Interferometric Technique |
| title_full_unstemmed | Mirror Prescription Regression: A Differential Interferometric Technique |
| title_short | Mirror Prescription Regression: A Differential Interferometric Technique |
| title_sort | mirror prescription regression a differential interferometric technique |
| url | http://dx.doi.org/10.1155/2010/201305 |
| work_keys_str_mv | AT brianmrobinson mirrorprescriptionregressionadifferentialinterferometrictechnique AT patrickjreardon mirrorprescriptionregressionadifferentialinterferometrictechnique AT josephmgeary mirrorprescriptionregressionadifferentialinterferometrictechnique |