
Experimentally exploiting the violation of the Lagrange invariant for resolution improvement
Author(s) -
Xiaomin Lai,
Sheng Xiao,
Yiming Guo,
Xiaohua Li,
Shaoqun Zeng
Publication year - 2015
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.23.031408
Subject(s) - optics , holography , invariant (physics) , image resolution , image quality , diffraction , physics , computer science , spatial frequency , limit (mathematics) , image (mathematics) , mathematics , computer vision , mathematical analysis , mathematical physics
It is experimentally demonstrated that even though the numerical aperture in the object space is fixed, the resolution of an imaging system still can be improved by adjusting the parameters in the image space. This strategy cannot be realized until the discovery of the violation of the Lagrange invariant in a kind of self-interference holography. With the violation, parameters in the image space can escape the constraint of the object space for resolution improvement. Experiments that directly confirm this new ability are implemented and results agree well with the theoretical prediction. Additionally, better performance on frequency recording and finer details beyond the diffraction limit have been recorded with this method.