Calibrating a high-resolution wavefront corrector with a static
					focal-plane camera

Korkiakoski, Visa; Doelman, Niek; Codona, Johanan L.; Kenworthy, Matthew A.; Otten, G. P. P. L.; Keller, Christoph U.

doi:10.1364/ao.52.007554

Cited by 5 publications

(14 citation statements)

References 16 publications

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“…Our earlier publications 16,22,23 show in detail -both simulations and laboratory experiments were carried out -how the FF and FF-GS work. Here, we illustrate, with the help of numerical simulations, how the alternative approaches would perform.…”

Section: Resultsmentioning

confidence: 99%

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Focal-plane wavefront sensing with high-order adaptive optics systems

et al. 2014

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We investigate methods to calibrate the non-common path aberrations at an adaptive optics system having a wavefront-correcting device working with an extremely high resolution (larger than 150×150 correcting elements). We use focal-plane images collected successively, the corresponding phase-diversity information and numerically efficient algorithms to calculate the required wavefront updates. Different approaches are considered in numerical simulations, and laboratory experiments are shown to confirm the results. We compare the performances of the standard Gerchberg-Saxton algorithm, Fast & Furious (use of small-phase assumption to take advantage of linearisation) and recently proposed phase-retrieval methods based on convex optimisation. The results indicate that the calibration task is easiest with algorithms similar to Fast & Furious, at least in the framework we considered.

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Section: Resultsmentioning

confidence: 99%

“…We use numerical simulations that are shown to model the reality rather accurately. 16,23 We model eight different sources of errors explicitly:…”

Section: Ff-gs Compared With Gsmentioning

confidence: 99%

Focal-plane wavefront sensing with high-order adaptive optics systems

et al. 2014

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“…The SLM phase and transmittance responses are measured with the differential optical transfer function (dOTF) method as described in [15]. The resulting measurements are shown in Fig.…”

Section: Hardware Usedmentioning

confidence: 99%

“…The first algorithm, Fast & Furious (FF), has been published before [13][14][15]. It relies on small WF aberrations, pupil symmetries and phase-diversity to achieve very fast WF reconstruction.…”

Section: Introductionmentioning

confidence: 99%

Fast & Furious focal-plane wavefront sensing

et al. 2014

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We present two complementary algorithms suitable for using focal-plane measurements to control a wavefront corrector with an extremely high-spatial resolution. The algorithms use linear approximations to iteratively minimize the aberrations seen by the focal-plane camera. The first algorithm, Fast & Furious (FF), uses a weak-aberration assumption and pupil symmetries to achieve fast wavefront reconstruction. The second algorithm, an extension to FF, can deal with an arbitrary pupil shape; it uses a Gerchberg-Saxton (GS)-style error reduction to determine the pupil amplitudes. Simulations and experimental results are shown for a spatial-light modulator controlling the wavefront with a resolution of 170 × 170 pixels. The algorithms increase the Strehl ratio from ∼0.75 to 0.98-0.99, and the intensity of the scattered light is reduced throughout the whole recorded image of 320 × 320 pixels. The remaining wavefront rms error is estimated to be ∼0.15 rad with FF and ∼0.10 rad with FF-GS.

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“…A very simple technique for decreasing the total required exposure time is to introduce some defocus, possibly a significant amount. 11 This reduces the Strehl ratio, dimming the brightest parts of the PSF and spreading the light over a larger area of the sensor: allowing many more photons to be captured in a single unsaturated exposure. The effect of defocus on the dOTF is to add a quadratic phase profile across each of the pupil field images.…”

Section: Possible Implementations and Practical Considerationsmentioning

confidence: 99%

Differential optical transfer function wavefront sensing

Codona

2013

Opt. Eng

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Abstract. An image-based technique for measuring the complex field in the pupil of an imaging system is presented. Two point source images, one with a small modification introduced in the pupil, are combined using a simple and non-iterative algorithm. The non-interferometric method is based on the change in the optical transfer function (OTF) giving a differential optical transfer function (dOTF). The dOTF includes two images of the complex pupil field, conjugated and reflected about the position of the pupil modification, leaving an overlap that obscures some of the pupil. The overlap can be minimized by introducing the modification near the edge of the pupil. The overlap region can be eliminated altogether by using a second modification and a third point source image. The pupil field is convolved by the change in the pupil field, so smaller modification areas are preferred. When using non-monochromatic light, the dOTF incurs a proportional radial blurring determined by the fractional bandwidth. We include some simple demonstration experiments, including using a pupil blockage and moving a single deformable mirror actuator as the pupil modification. In each case, the complex wavefront is easily recovered, even when the pupil mask is unknown and the wavefront aberrations are large.

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Calibrating a high-resolution wavefront corrector with a static focal-plane camera

Cited by 5 publications

References 16 publications

Focal-plane wavefront sensing with high-order adaptive optics systems

Focal-plane wavefront sensing with high-order adaptive optics systems

Fast & Furious focal-plane wavefront sensing

Differential optical transfer function wavefront sensing

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