Orthonormal aberration decomposition for circular aperture and rectangular field with extension to multiple-aperture systems
Baohua Chen,
Quanying Wu,
Junliu Fan,
Songhongkang Yang,
Zhixiang Li,
Donghui Shen
Affiliations
Baohua Chen
Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Physical Science and Technology,Suzhou University of Science and Technology, Suzhou 215009, China
Quanying Wu
Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Physical Science and Technology,Suzhou University of Science and Technology, Suzhou 215009, China
Junliu Fan
Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Physical Science and Technology,Suzhou University of Science and Technology, Suzhou 215009, China
Songhongkang Yang
Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Physical Science and Technology,Suzhou University of Science and Technology, Suzhou 215009, China
Zhixiang Li
Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Physical Science and Technology,Suzhou University of Science and Technology, Suzhou 215009, China
Donghui Shen
Suzhou Dechuang Measurement & Control Technology Co., Ltd. of Graduate Workstation in Jiangsu Province, Suzhou 215000, China
A new set of orthogonal polynomials and the traditional Zernike polynomials are combined to construct the wavefront of the sparse aperture (SA) optical system. The new set of orthogonal polynomials in the rectangular domain is derived based on the Zernike polynomials. The modulation transfer functions (MTFs) of the SA system under different fields of view are calculated. The effects of some wavefront terms on the field-related MTF are analyzed. Imaging simulation and restoration are conducted for the SA system. The results indicate that the wavefront of the SA system can be represented by the combination of the new set of orthogonal polynomials and the Zernike polynomials. The former represents the field term, and the latter represents the pupil term of the wavefront. The field-related Wiener filter is constructed to restore the imaging results of the SA system, and the results show that the image quality can be improved greatly through restoration.
