2011Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIERequires access

Research of zernike fitting algorithm in finite element process

Xi-Fa Song, Lin Li, Yifan Huang, Siyu Lu

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Abstract

Zernike polynomials are usually used to describe the wave-front of an optical system, but it is also used to stand for the surface of an optical system. Researching the algorithm in this paper is according to this property. When temperature of a lens increases from -60°C to 60°C, the surface of the lens will change simultaneously, which will influence the image quality and the sensitivity of the detector. In this paper this progress will be simulated by finite element software, abaqus. After that the data of the lens whose surfaces have deformed will be exported. Zernike polynomials are used to describe the changed surface, and zernike coefficients are calculated with matlab by using the method of least squares. All of the the zernike coefficients are imported to an optical design software, zemax, and then the aberrations coefficients can be got from the software. Finally, the solution of avoiding these problems caused by temperature changing can be obtained.

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What this paper is about

Zernike polynomials are usually used to describe the wave-front of an optical system, but it is also used to stand for the surface of an optical system. Researching the algorithm in this paper is according to this property. When temperature of a lens increases from -60°C to 60°C, the surface of the lens will change simultaneously, which will influence the image quality and the sensitivity of the detector. In this paper this progress will be simulated by finite element software, abaqus. After that the data of the lens whose surfaces have deformed will be exported. Zernike polynomials are used to describe the changed surface, and zernike coefficients are calculated with matlab by using the method of least squares. All of the the zernike coefficients are imported to an optical design software, zemax, and then the aberrations coefficients can be got from the software. Finally, the solution of avoiding these problems caused by temperature changing can be obtained.

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Available abstract

Zernike polynomials are usually used to describe the wave-front of an optical system, but it is also used to stand for the surface of an optical system. Researching the algorithm in this paper is according to this property. When temperature of a lens increases from -60°C to 60°C, the surface of the lens will change simultaneously, which will influence the image quality and the sensitivity of the detector. In this paper this progress will be simulated by finite element software, abaqus. After that the data of the lens whose surfaces have deformed will be exported. Zernike polynomials are used to describe the changed surface, and zernike coefficients are calculated with matlab by using the method of least squares. All of the the zernike coefficients are imported to an optical design software, zemax, and then the aberrations coefficients can be got from the software. Finally, the solution of avoiding these problems caused by temperature changing can be obtained.

Key concepts: Zernike polynomials, Finite element method, Process (computing), Computer science, Algorithm, Element (criminal law), Engineering, Structural engineering

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