Abstract
We have performed the simulation of the impact of distorting factors in the form of wave aberrations of the image in the incoherent case. It is shown that defocusing can be compensated not only by a cubic phase distribution, but also using other types of asymmetric phase functions, including the fractional exponent. Based on the method of stationary phase we have obtained a general type of the functions to compensate the aberrations.
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This paper uses the materials of the report submitted at the 11th International Conference “Pattern Recognition and Image Analysis: New Information Technologies,” Samara, Russia, September 23–28, 2013.
Svetlana N. Khonina, born on October 21, 1965, graduated from the Kuibyshev Aviation Institute (now the Samara State Aerospace University) in 1989; in 1995, she defended her Candidate thesis for the specialty April 1, 2001. In 2001, she defended her doctoral thesis for her specialty April 1, 2005. Svetlana Khonina is a leading researcher at the Federal State Budgetary Institution of Science, Image Processing Systems Institute, Russian Academy of Sciences, Professor of the Korolev Samara State Aerospace University (National Research University). Her research interests include diffractive optics, singular optics, modal and polarization transformations, optical manipulation, optical and digital image processing. She is the author and coauthor of more than 300 scientific and educational publications, five monographs, and three patents for inventions. Her awards: 1997–1999, the Russian Academy of Sciences Scholarship for outstanding young scientists of Russia, 2000–2002, Russian Academy of Sciences Scholarship for outstanding scientists of Russia, 2003–2005, Russian Federation President’s grant for young doctors of sciences, 2010, governorate award (Order of the Governor of the Samara oblast from March 15, 2010, No. 67-P) in the field of science and technology in 2009 in the category “Natural Sciences and Mathematics.”
Andrey V. Ustinov, born in 1968, graduated from the Korolev Kuibyshev Aviation Institute in 1991. He majored in Applied Mathematics and is a senior programmer at the Federal State Budgetary Institution of Science Image Processing Systems Institute, Russian Academy of Sciences. He is a graduate student of the Korolev Samara State Aerospace University. His research interests include diffractive optics, the development of programs for simulating the operation of optical elements and image processing, particularly hydrodynamic and biomedical processes.
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Khonina, S.N., Ustinov, A.V. Generalized apodization of an incoherent imaging system aimed for extending the depth of focus. Pattern Recognit. Image Anal. 25, 626–631 (2015). https://doi.org/10.1134/S1054661815040100
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DOI: https://doi.org/10.1134/S1054661815040100