Design and simulation of the surface shape control system for membrane mirror

Zhang, Gengsheng; Tang, Minxue

doi:10.1117/12.837736

Cited by 2 publications

(3 citation statements)

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“…3 Parameter of polyimide membrane2 [4] For a standard paraboloid with 300mm diameter and F/12.5, the maximum displacement value(ω 0 ) of its central point is 1.5mm. If the multi-electrode plate is composed of three concentric sub-electrodes, the value of radial displacement U a is 8.331019 × 10 -6 m which corresponding to a temperature difference of 2.777 o C. The comparison results between the surface shape accuracy of membrane mirrors formed by using multi-electrode distribution modes of K=2.0 and K=1.6 is listed in Table 4.…”

Section: Finite Element Simulation Of Membrane Mirror Formingmentioning

confidence: 99%

“…Usually, a multi-electrodes plate that is composed of a central circular sub-electrode and several concentric annular sub-electrodes was adopted and two kinds of multi-electrodes distribution mode have been proposed. One is called uniform multi-electrode distribution mode that the radius of central circular sub-electrode is equal to the radial width of the rest concentric annular sub-electrodes that have equal radial width(as shown in Fig(a)) [4] , and the other is called non-uniform multi-electrode distribution mode that the radius of central circular sub-electrode is twice longer than the radial width of each concentric annular sub-electrodes(as shown in Fig(b)) [5] .…”

Section: Introductionmentioning

confidence: 99%

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Design and analysis of multi-electrodes distribution for shaping of electrostatic stretched membrane mirror

Jiang¹,

Wei²,

Yang³

et al. 2013

SPIE Proceedings

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One of the key technologies which need to be solved in developing membrane mirror is the surface shape control of the mirror. The pressure distribution and calculation method for the shape of a membrane paraboloidal mirror are studied in this paper. According to Karman equation in circular membrane theory, the analytic expression of the radial continuous distributed pressure load used to form a membrane paraboloidal mirror with certain aperture and F number is solved out under certain radial displacement condition. Taking the example of membrane paraboloidal mirror with diameters of 200mm, 300mm, 500mm, and F number of 10, the number and the radial width of sub-electrodes are optimized. It is founded that by using multi-electrodes distribution mode that the radial width of center sub-electrode is 1.6 times longer than that of the rest concentric annulus electrodes with same radial width, the deviation between the membrane mirror shape and the standard paraboloid surface shape can be effectively reduced. The surface shape of a membrane mirror in 300mm diameter and F/10 that is formed by electrostatic stretching through a multi-electrodes plate with insulation intervals among sub-electrodes or not are simulated by using finite element analysis. It may provide a theoretical basis for practical control of membrane mirror shape.

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Section: Finite Element Simulation Of Membrane Mirror Formingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design and analysis of multi-electrodes distribution for shaping of electrostatic stretched membrane mirror

Jiang¹,

Wei²,

Yang³

et al. 2013

SPIE Proceedings

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show abstract

“…Based on our previous research works [6][7][8] , the functions and working procedures of a surface shape control system for membrane mirror developed in our lab are introduced in this paper. The theoretical mathematical model and the finite element model for the analysis of the surface shapes of membrane mirrors applied by uniform loads are discussed.…”

Section: Introductionmentioning

confidence: 99%

Analysis and simulation of the surface shape of membrane mirror applied by non-uniform load

Geng-sheng

Tang

et al. 2010

5th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Large Mirrors and Telescopes

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Research and manufacture of large aperture and lightweight telescope is urgently needed with the development of space optical system and the requirement for high resolution, and becomes one of the main tasks in space science area in future. The membrane mirror with a substrate of flexible film has characteristics of lightweight, compact-deployable and low cost compared to the traditional one and it is prospected to be applied in future large space optical systems.The surface shape control is one of the key technologies for the manufacture of membrane mirror. Based on the previous research works carried out in our lab, the surface shape of membrane mirror applied by non-uniform load is theoretically analyzed and simulated in the membrane mirror's surface shape control system in this paper. The construction of the system and the realization of the functions are described in detail. The analysis and simulation of surface shape control of membrane mirrors with 300mm aperture and different F numbers are performed applied by both non-uniform load and uniform load in the control system. The results of the simulation show that the RMS wavefront error of the membrane mirror under non-uniform load can be controlled and improved in two orders of magnitude comparing to that of the membrane mirror under uniform load, which is prospected to be a viable method for the design and manufacture of large aperture and lightweight membrane mirror with high surface accuracy.

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Design and simulation of the surface shape control system for membrane mirror

Cited by 2 publications

References 0 publications

Design and analysis of multi-electrodes distribution for shaping of electrostatic stretched membrane mirror

Design and analysis of multi-electrodes distribution for shaping of electrostatic stretched membrane mirror

Analysis and simulation of the surface shape of membrane mirror applied by non-uniform load

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