A low complexity representation of the coherent point spread function in the presence of aberrations and arbitrarily large defocus
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2006.
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | eng |
| Published: |
Massachusetts Institute of Technology
2007
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/35664 |
| _version_ | 1826202560691699712 |
|---|---|
| author | Bagheri, Saeed, Ph. D. Massachusetts Institute of Technology |
| author2 | Daniela Pucci de Farias. |
| author_facet | Daniela Pucci de Farias. Bagheri, Saeed, Ph. D. Massachusetts Institute of Technology |
| author_sort | Bagheri, Saeed, Ph. D. Massachusetts Institute of Technology |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2006. |
| first_indexed | 2024-09-23T12:09:25Z |
| format | Thesis |
| id | mit-1721.1/35664 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T12:09:25Z |
| publishDate | 2007 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/356642019-04-12T20:32:19Z A low complexity representation of the coherent point spread function in the presence of aberrations and arbitrarily large defocus Bagheri, Saeed, Ph. D. Massachusetts Institute of Technology Daniela Pucci de Farias. Massachusetts Institute of Technology. Dept. of Mechanical Engineering. Massachusetts Institute of Technology. Dept. of Mechanical Engineering. Mechanical Engineering. Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2006. Includes bibliographical references (leaves 75-[76]). In this thesis we introduce a new method for analyzing the diffraction integral for evaluating the point spread function. The new method is based on the use of higher order Airy functions along with Zernike and Taylor expansions. Our approach is applicable when we are considering a finite, arbitrary number of aberrations and arbitrary large defocus simultaneously. We present an upper bound for the complexity and the convergence rate of this method. We also compare the cost and accuracy of this method to traditional ones and show the efficiency of our method through these comparisons. In particular, we rigorously show that this method is constructed in a way that the complexity of the analysis (i.e the number of terms needed for expressing the light disturbance) does not increase as either of defocus or resolution of interest increases. This has applications in several fields such as biological microscopy, lithography and multi-domain optimization in optical systems. by Saeed Bagheri. S.M. 2007-01-10T16:58:46Z 2007-01-10T16:58:46Z 2006 2006 Thesis http://hdl.handle.net/1721.1/35664 76813263 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 75, [1] leaves 1980561 bytes 1983654 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mechanical Engineering. Bagheri, Saeed, Ph. D. Massachusetts Institute of Technology A low complexity representation of the coherent point spread function in the presence of aberrations and arbitrarily large defocus |
| title | A low complexity representation of the coherent point spread function in the presence of aberrations and arbitrarily large defocus |
| title_full | A low complexity representation of the coherent point spread function in the presence of aberrations and arbitrarily large defocus |
| title_fullStr | A low complexity representation of the coherent point spread function in the presence of aberrations and arbitrarily large defocus |
| title_full_unstemmed | A low complexity representation of the coherent point spread function in the presence of aberrations and arbitrarily large defocus |
| title_short | A low complexity representation of the coherent point spread function in the presence of aberrations and arbitrarily large defocus |
| title_sort | low complexity representation of the coherent point spread function in the presence of aberrations and arbitrarily large defocus |
| topic | Mechanical Engineering. |
| url | http://hdl.handle.net/1721.1/35664 |
| work_keys_str_mv | AT bagherisaeedphdmassachusettsinstituteoftechnology alowcomplexityrepresentationofthecoherentpointspreadfunctioninthepresenceofaberrationsandarbitrarilylargedefocus AT bagherisaeedphdmassachusettsinstituteoftechnology lowcomplexityrepresentationofthecoherentpointspreadfunctioninthepresenceofaberrationsandarbitrarilylargedefocus |