An all optically driven integrated deformable mirror device

Mathur, Vaibhav; Vangala, Shiva; Qian, Xifeng; Goodhue, W. D.; Haji-saeed, Bahareh; Khoury, Jed

doi:10.1063/1.3430568

Cited by 11 publications

(2 citation statements)

References 11 publications

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“…New solutions and technologies are developed for realising high actuator densities in DMs 3,4 as well as novel materials tested and manufactured [5][6][7][8] . A recently presented concept of a hysteretic deformable mirror (HDM) 9 for an exoplanetimaging space mission opens up the possibility of deploying an extremely dense actuator array where 2D memory piezoactuators are realized by placing a newly developed piezoelectric shape memory material between two orthogonal layers of electrodes as illustrated in Figure 1.…”

Section: Introductionmentioning

confidence: 99%

Electrical coupling analysis of 2D time-multiplexing memory actuators exhibiting asymmetric butterfly hysteresis

Schmerbauch

Vakis

Jayawardhana

2021

Journal of Applied Physics

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We present the modeling and analysis of electrical coupling in a hysteretic deformable mirror with 2D memory piezoactuators, which are made of a purposely-designed piezomaterial sandwiched between electrodes arranged crosswise and actuated by a multiplexing approach. Using a modified Miller model to describe the memory effect which is based on the ferroelectric domain switching processes, the proposed framework is used to simulate the electric field dependence of the strain in the piezoelectric material that exhibits asymmetric butterfly loops with remnant deformation through the finite element method. The desired butterfly memory effect in the material is obtained by modifying the saturated dipole polarization curve in the Miller model. The proposed method allows us to numerically investigate the electrical coupling between actuators in more detail and correspondingly understand their influence to the mirror facesheet.

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Section: Introductionmentioning

confidence: 99%

Electrical coupling analysis of 2D time-multiplexing memory actuators exhibiting asymmetric butterfly hysteresis

Schmerbauch

Vakis

Jayawardhana

2021

Journal of Applied Physics

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“…For this reason, new concepts have been developed in recent years that address these design aspects. Novel solutions and technologies were developed for realising high actuator densities in DMs [21,22] as well as advanced materials manufactured and tested. These materials include for example piezoelectric thin films with focus on having large displacements at low voltage levels and properties like memory effects [23][24][25][26].…”

Section: A C K N O W L E D G M E N T Smentioning

confidence: 99%

Distributed actuation systems for adaptive optics: from structural modeling to design optimization

Schmerbauch¹

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1 introduction 1 1.1 Adaptive optics 1 1.2 Hysteretic deformable mirror 3 1.3 Outline and contributions 5 1.3.1 Publications 8 2 preliminaries 9 2.1 Design parameters and performance measures 9 2.2 Actuator technologies for deformable mirrors 12 2.3 Space-based applications and deformable mirror technology 17 2.3.1 Deformable mirror requirements 17 2.3.2 State of the art 18 2.4 Hysteresis models for asymmetric butterfly loops 19 2.4.1 Preisach model 19 2.4.2 Duhem model 20 3 semi-analytical plate model 23 3.1 Overview of plate models 23 3.2 Influence functions for the hysteretic deformable mirror 26 3.2.1 Determination of the influence matrix 26 3.2.2 Actuator model 31 3.3 Results and discussion 33 3.3.1 2D pattern for influence functions (Case 1 -5) 33 3.3.2 Least-square fitting 33 3.3.3 Simulation results 34 3.3.4 Comparison to conventional modeling approaches 41 3.4 Concluding remarks 43 4 investigation of the electrical coupling phenomenon 45 4.1 Consideration of the phenomenon in surface fitting process 46 4.2 Fundamental analysis of the electrical coupling 48 4.3 Theoretical frameworks for detailed analysis 50 4.3.1 Model of the hysteretic deformable mirror 51 4.3.2 Modeling of the memory material 53 4.3.3 Sensitivity analysis of the facesheet 56 4.4 Implementation and results 57 4.4.1 Hysteretic deformable mirror model in 3D 57 xi xii contents 4.4.2 Memory material implementation 58 4.4.3 Sensitivity of the facesheet 60 4.4.4 Discussion 63 4.5 Concluding remarks 64 5 development of 2.5d metamaterial actuation array 67 5.1 Introduction 67 5.2 Modular actuation array based on kirigami 68 5.2.1 Design of cut patterns 69 5.2.2 Numerical validation of cut patterns 69 5.2.3 Proof of concept experiments 70 5.3 Application of kirigami array in adaptive optics 74 5.3.1 Design concept of a deformable mirror 74 5.4 Discussion and concluding remarks 81 6 conclusions and outlook 87 a coefficient calculation by solution to poisson's equation 91 a.1 Respective formulas 91 a.2 Numerical integration 91 a.3 Coefficient calculation in Case 1 91 a.3.1 Sub-functions of f 1 94 a.3.2 Sub-functions of f 2 94 a.4 Coefficient calculation in Case 2 95 a.4.1 Sub-functions of f 1 95 a.4.2 Sub-functions of f 2 95 a.5 Coefficient calculation in Case 3 96 a.5.1 Sub-functions of f 1 97 a.5.2 Sub-functions of f 2 97 a.6 Coefficient calculation in Case 4 98 a.6.1 Sub-functions of f 1 99 a.6.2 Sub-functions of f 2 99 a.7 Coefficient calculation in Case 5 100 a.7.1 Sub-functions of f 1 101 a.7.2 Sub-functions of f 2 101 bibliography 103 summary 117 samenvatting 119 zusammenfassung 123

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Constraints on chameleon f(R)-gravity from galaxy rotation curves of the SPARC sample

Naik

Puchwein

Davis

et al. 2019

Monthly Notices of the Royal Astronomical Society

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In chameleon f (R)-gravity, the fifth force will lead to 'upturns' in galaxy rotation curves near the screening radius. The location of the upturn depends on the cosmic background value of the scalar fieldf R0 , as well as the mass, size and environment of the galaxy. We search for this signature of modified gravity in the SPARC sample of measured rotation curves, using an MCMC technique to derive constraints onf R0 . Assuming NFW dark matter haloes and withf R0 freely varying for each galaxy, most galaxies prefer f (R) gravity to ΛCDM, but there is a large spread of inferredf R0 values, inconsistent with a single global value. Requiring instead a consistentf R0 value for the whole sample, models with log 10 |f R0 | > −6.1 are excluded. On the other hand, models in the range −7.5 < log 10 |f R0 | < −6.5 seem to be favoured with respect to ΛCDM, with a significant peak at -7. However, this signal is largely a result of galaxies for which the f (R) signal is degenerate with the core/cusp problem, and when the NFW profile is replaced with a cored halo profile, ΛCDM gives better fits than any given f (R) model. Thus, we find no convincing evidence of f (R) gravity down to the level of |f R0 | ∼ 6 × 10 −8 , with the caveat that if cored halo density profiles cannot ultimately be explained within ΛCDM, a screened modified gravity theory could possibly provide an alternative solution for the core/cusp problem. However, the f (R) models studied here fall short of achieving this.

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An all optically driven integrated deformable mirror device

Cited by 11 publications

References 11 publications

Electrical coupling analysis of 2D time-multiplexing memory actuators exhibiting asymmetric butterfly hysteresis

Electrical coupling analysis of 2D time-multiplexing memory actuators exhibiting asymmetric butterfly hysteresis

Distributed actuation systems for adaptive optics: from structural modeling to design optimization

Constraints on chameleon f(R)-gravity from galaxy rotation curves of the SPARC sample

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