Journals > > Topics > Optical Designand Fabrication
Optical Designand Fabrication|2 Article(s)
Topology Optimization Design Method for Supporting Structures of Optical Reflective Mirrors Based on Zernike Coefficient Optimization Model
Yin-cheng SHI, Huai-de YAN, Peng GONG, Tao LIU, Qiang-long WANG, Lu-chao CHENG, Jian DENG, and Zhen-yu LIU
In this paper, the Zernike polynomials are used to describe deformed optical surfaces. Using the adjoint method, the sensitivities of Zernike polynomials to design variables can be derived. This procedure effectively overcomes the bottleneck of computational cost in sensitivity analysis when using the finite difference method. Therefore, the topology optimization models, which usually have thousand or tens of thousands of design variables, can be implemented by using the objectives and design constraints directly based on Zernike coefficients. Meanwhile, within the frame of numerical finite element discretization, adaptive finite element basis functions and element numerical integrals can be implemented to solve structural deformation and Zernike coefficients accurately and efficiently. This algorithm is flexible to be applied to general structural topology optimization models with objectives or constraints being a reasonable linear combination of Zernike coefficients. The numerical examples illustrate that the algorithm can optimize Zernike coefficients effectively. In this paper, the Zernike polynomials are used to describe deformed optical surfaces. Using the adjoint method, the sensitivities of Zernike polynomials to design variables can be derived. This procedure effectively overcomes the bottleneck of computational cost in sensitivity analysis when using the finite difference method. Therefore, the topology optimization models, which usually have thousand or tens of thousands of design variables, can be implemented by using the objectives and design constraints directly based on Zernike coefficients. Meanwhile, within the frame of numerical finite element discretization, adaptive finite element basis functions and element numerical integrals can be implemented to solve structural deformation and Zernike coefficients accurately and efficiently. This algorithm is flexible to be applied to general structural topology optimization models with objectives or constraints being a reasonable linear combination of Zernike coefficients. The numerical examples illustrate that the algorithm can optimize Zernike coefficients effectively.
Acta Photonica Sinica
- Publication Date: Jun. 25, 2020
- Vol. 49, Issue 6, 0622001 (2020)
Design and Analysis of the Transmitted Inner Focusing Wide Spectrum Optical System
Zhi-ying LIU, Shu-qi LI, Yun-hang HUANG, and Yue-gang FU
In order to realize the inner focusing and meanwhile ensure the excellent image quality of the wide spectrum system, the position chromatic aberration and secondary spectrum in the wide spectrum optical system are corrected through the reasonable selection of materials, and a kind of design method of the wide spectrum optical system with inner focusing is proposed. The mathematical model of the achromatic with inner focusing is established, and the formulas that the system design needed are deduced. Combined with the proposed mathematical model and the derived formulas, a wide spectrum optical system with a focal length of 90 mm, the F number of 2.8 and the function of inner focusing is taken as an example. The result shows that in the range of 420~900 nm, the system can correct the chromatic aberration of the target at the distance of 0.2~200 km. The correctness of the design method and mathematical model of the inner focusing wide spectrum optical system is verified. In order to realize the inner focusing and meanwhile ensure the excellent image quality of the wide spectrum system, the position chromatic aberration and secondary spectrum in the wide spectrum optical system are corrected through the reasonable selection of materials, and a kind of design method of the wide spectrum optical system with inner focusing is proposed. The mathematical model of the achromatic with inner focusing is established, and the formulas that the system design needed are deduced. Combined with the proposed mathematical model and the derived formulas, a wide spectrum optical system with a focal length of 90 mm, the F number of 2.8 and the function of inner focusing is taken as an example. The result shows that in the range of 420~900 nm, the system can correct the chromatic aberration of the target at the distance of 0.2~200 km. The correctness of the design method and mathematical model of the inner focusing wide spectrum optical system is verified.
Acta Photonica Sinica
- Publication Date: Mar. 25, 2020
- Vol. 49, Issue 3, 0322004 (2020)
Topics
© Copyright 2018-2021 | Chinese Laser Press. All Rights Reserved 沪ICP备15018463号-20