Determination Position and Initial Value of Aspheric Surface for Fisheye Lens Design

Author:

Fan Lirong12,Yan Ketao34,Qiao Guodong1,Lu Lijun2,Gao Shuyuan3,Zheng Huadong2ORCID

Affiliation:

1. School of Aeronautical and Mechanical Engineering, Changzhou Institute of Technology, Changzhou 213032, China

2. Department of Precision Mechanical Engineering, Shanghai University, Shanghai 200444, China

3. School of Mechanical Engineering and Rail Transit, Changzhou University, Changzhou 213164, China

4. The Engineering Research Center for CAD/CAM of Fujian Universities, Putian University, Putian 351100, China

Abstract

The aspheric surface is a commonly used method to improve the imaging quality of the fisheye lens, but it is difficult to determine the position and initial value. Based on the wave aberration theory of the plane-symmetric optical system, a method of using an aspheric surface to design a fisheye lens is proposed, which can quickly determine the appropriate aspheric surface to improve the imaging performance. First, the wave aberration of each optical surface of the fisheye lens is calculated and its aberration characteristics are analyzed. Then, a numerical evaluation function is reported based on the aberration distribution of the fisheye lens on the image plane. According to the functional relationship between the evaluation function and the aspheric coefficient, the position of the aspheric surface and the initial value of the aspheric coefficient can be calculated. Finally, the adaptive and normalized real-coded genetic algorithm is used as the evaluation function to optimize the fisheye lens using an aspheric surface. The proposed method can provide an effective solution for designing a fisheye lens using an aspheric surface.

Funder

National Natural Science Foundation of China

Open Project of The Engineering Research Center for CAD/CAM of Fujian Universities

Basic Research Program of Jiangsu Province

Publisher

MDPI AG

Subject

Radiology, Nuclear Medicine and imaging,Instrumentation,Atomic and Molecular Physics, and Optics

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