Feedback interferometry with membrane mirror for adaptive optics

Cheung, D.C.L.; Barnes, Thomas H.; Haskell, T.G.

doi:10.1016/s0030-4018(03)01188-x

Cited by 14 publications

(4 citation statements)

References 16 publications

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“…Compared to lateral shearing interferometry (LSI) 3 or advanced LSI 4 technique where shearing can be implemented in one direction at a time, RSI shearing is radial and therefore along all directions. Presently, with the enormous advancements in digital image processing (DSP), RSI, coupled with phase shifting techniques [5][6][7] , has emerged to be one of the most powerful techniques for qualitative and quantitative wavefront evaluation along with 3-dimensional imaging and microscopy and has seen various applications including testing of aspheric surfaces 8,9 corneal topography measurement 10,11 , wavefront sensing in adaptive optics [12][13][14][15] and analysis of transient laser pulses 16 .…”

Section: Introductionmentioning

confidence: 99%

Radial shearing interferometry with in-built polarization phase shifting for three-dimensional imaging and quantitative phase analysis of transparent phase objects in macro and microscopic order

Sengupta

Bhattacharya

2023

Preprint

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In this exploration, we present a compact and easy-to-set imaging system to analyze the quantitative phase information of macroscopic and microscopic transparent phase samples (TPS) using a Radial shearing interferometric (RSI) design. The proposed setup introduces a wire grid polarizer (WGP) as a beam-splitting optical element in a triangular cyclic configuration to render the two counter-propagating beams linearly polarized in orthogonal directions. These beams are made to pass through the samples in a counter direction. The focusing lens to image the sample is aligned in such a way that either the p-polarized beam illuminates the phase sample in a focused position with respect to the imaging lens position and the remaining s-polarized beam is far apart from its focal length or vice-versa. So polarization phase shifting (PPS) is implemented to generate a three-dimensional (3-D) phase pattern which is digitally captured in a charge-coupled device (CCD) camera to yield the sample phase. The proposed setup is robust, sufficiently tolerant to ambient vibrations, and shows encouraging experimental results using the minimum optics.

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Section: Introductionmentioning

confidence: 99%

Radial shearing interferometry with in-built polarization phase shifting for three-dimensional imaging and quantitative phase analysis of transparent phase objects in macro and microscopic order

Sengupta

Bhattacharya

2023

Preprint

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“…Radial shearing interferometer (RSI) was proposed firstly in 1961 [1]. After development of many years, the RSI has been used widely in optical testing [2][3][4], corneal topographic inspection [5][6][7], wavefront sensing [8][9][10][11] and laser beam characterization [12][13][14]. Radial shear can be introduced by some classical optical components [15,16] and the other different ways [17][18][19][20][21] including optical gratings [17,18], zone plate [19], speckle interference [20,21] and the other applications.…”

Section: Introductionmentioning

confidence: 99%

Radial Shearing Interferometer

Gu¹,

Luo²

2019

Interferometry - Recent Developments and Contemporary Applications

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Radial shearing interferometer (RSI) is one of the most powerful tools in many domains, especially in optical testing. RSI has compact size and good vibration immunity, which is adaptive to various environments, due to its common-path configuration. Moreover, it is very convenient application because no plane referencing wavefront is needed. The disadvantages of the conventional RSIs are that the distorted wavefront is hard to extract quickly and accurately from one radial shearography due to the phase extract algorithm is complex. Fortunately, the new RSIs can receive benefits from the accuracy of the methods of phase-shifting interferometry, and phase-shifting shearography is more sensitive than simple digital shearography. There are two mainly trend to the RSIs based on phase-shifting technique, i.e. instantaneous phase-shifting and compact size. In this chapter, a development process of RSI will be introduced briefly firstly, and then the some new RSIs based phase-shifting techniques in our work will be described in following parts, including initial RSI by using four-step polarization phase-shifting, modal wavefront reconstruction method for RSI with lateral shear and a new kind of compact RSI based micro-optics technique.

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“…Linear control methods have been regularly employed to stabilize interferometers and accurately estimate phase [1][2][3][4][5]. Despite the wide variety of linear systems techniques, their application to nonlinear systems, such as interferometers, can bring limitations and do not ensure the necessary robustness in the system performance, since linear control methods rely on the key assumption of a small-value disturbance (not enough to remove the system from its equilibrium point) for the linear model to be valid.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear control system for optical interferometry based on variable structure control and sliding modes

Martin¹,

Sakamoto²,

Teixeira³

et al. 2017

Opt. Express

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This work presents a novel nonlinear control system designed for interferometry based on variable structure control and sliding modes. This approach can fully compensate the nonlinear behavior of the interferometer and lead to high accuracy control for large disturbances, featuring low cost, ease of implementation and high robustness, without a reset circuit (when compared with a linear control system). A deep stability analysis was accomplished and the global asymptotic stability of the system was proved. The results showed that the nonlinear control is able to keep the interferometer in the quadrature point and suppress signal fading for arbitrary signals, sinusoidal signals, or zero input signal, even under strong external disturbances. The system showed itself suitable to characterize a multi-axis piezoelectric flextentional actuator, which displacements that are much smaller than half wavelength. The high robustness allows the system to be embedded and to operate in harsh environments as factories, bringing the interferometry outside the laboratory.

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Feedback interferometry with membrane mirror for adaptive optics

Cited by 14 publications

References 16 publications

Radial shearing interferometry with in-built polarization phase shifting for three-dimensional imaging and quantitative phase analysis of transparent phase objects in macro and microscopic order

Radial shearing interferometry with in-built polarization phase shifting for three-dimensional imaging and quantitative phase analysis of transparent phase objects in macro and microscopic order

Radial Shearing Interferometer

Nonlinear control system for optical interferometry based on variable structure control and sliding modes

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