Mathematical model of a variable-curvature thin-film mirror

Dimakov, Sergei A.; Kislitsyn, Boris V.

doi:10.1364/jot.67.000229

Cited by 5 publications

(3 citation statements)

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“…It can be written as [10] (2) where r is the radial coordinates on membrane, h is the thickness of membrane, w is the deformation of membrane, Tr is the tension of membrane, E is Young's modulus, and p is the pressure loaded on the membrane.…”

Section: Design Of Simulation Modulementioning

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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Section: Design Of Simulation Modulementioning

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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“…However, the fabrication is difficult for precision variable thickness control. Precision control of the surface shape of extremely flexible membrane structures is a critical challenge for the success of this technology [Jenkins et al 1998, Wangneret al 2000, Martin et al 2000, Dimkov et al 2000. It requires matched soft actuation materials.…”

Section: Introductionmentioning

confidence: 99%

Wirelessly controllable inflated electroactive polymer (EAP) reflectors

et al. 2005

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Inflatable membrane reflectors are attractive for deployable, large aperture, lightweight optical and microwave systems in micro-gravity space environment. However, any fabrication flaw or temperature variation may results in significant aberration of the surface. Even for a perfectly fabricated inflatable membrane mirror with uniform thickness, theory shows it will form a Hencky curve surface rather than the desired parabolic or spherical surface. Precision control of the surface shape of extremely flexible membrane structures is a critical challenge for the success of this technology. Wirelessly controllable inflated reflectors made of electroactive polymers (EAP) are proposed in this paper. A finite element model was configured to predict the behavior of the inflatable EAP membranes under pre-strains, pressures and distributed electric charges on the surface. To explore the controllability of the inflatable EAP reflectors, an iteration algorithm was developed to find the required applied electric field distribution for correcting the aberration of a Hencky curve to the desired parabolic curve. The correction capability of the reflectors with available EAP materials was explored numerically and is presented in this paper.

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“…The results of a great number of experimental and theoretical studies [1][2][3][4][5][6][7][8] convincingly demonstrate that the using the nonlinear-optical correction of image distortions in observation telescopes allows one to achieve resolution close to the diffraction limit for a non-ideal (specifically, membrane-type) primary mirror. An efficient image correction was obtained for the objects with a narrow spectral range of emission.…”

Section: Introductionmentioning

confidence: 99%

Real-time holographic correction of image of a moving object observed by a telescope with a membrane primary mirror

2005

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During some years there was a research of properties of an observation telescope with non-ideal primary mirror and nonlinear optical correction of received images. Different schemes of reading out of the information about primary mirror distortions were investigated, various types of nonlinear correctors were used, and possible ways of creation of a telescope primary mirror with acceptable optical quality were investigated. Brief history of these researches will be given in this paper. The results of real-time holographic correction of image of a moving object observed by a telescope with a membrane primary 300 mm in a diameter will be also discussed.

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Mathematical model of a variable-curvature thin-film mirror

Cited by 5 publications

References 0 publications

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

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

Wirelessly controllable inflated electroactive polymer (EAP) reflectors

Real-time holographic correction of image of a moving object observed by a telescope with a membrane primary mirror

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