References, Theses, etc. Covering Lucky Imaging (including papers on Lucky by other Authors)
Theses
The PhD Thesis from Bob Tubbs of Sept 2003 is available in electronic form both as a pdf file and as an HTML version (Click Here). Note the HTML version is fully electronically indexed but has lower resolution figures, The pdf version has the original high-resolution figure set.
The PhD Thesis from Nick Law entitled "Lucky Imaging: Diffraction Limited Imaging from the ground in the Visible" of July 2006 is available here in clickable HTML format. The pdf version is here (12 MBytes).
Original Lucky Imaging
Most people believe that D L Fried was the originator of the concept of "Lucky Imaging". however you may be interested to know that the significantly earlier work of Bob Hufnagel which was, in fact, referenced by Fried in his 1978 paper on Lucky Imaging anticipated the essence of that work. CDM has been in touch with Bob recently and managed to get scanned copies of his original papers which are otherwise extremely difficult to access as they were internal reports basically. Bob recently sent me a short CV which I include here:
Bob was born in New Jersey, and received his PhD in 1959 from Cornell University. He then joined the Perkin-Elmer Corporation in Connecticut,the developer of complex scientific and optical instruments, including the Hubble Space Telescope. Over the years he held the positions of Directorof Research and Chief Scientist. He made original contributions in a number of disciplines, but he is best known internationally for his pioneering publications about atmospheric turbulence. He is a Fellow of the Optical Society of America, and for several years, was an Associate Editor of its Journal, JOSA. In 1957 he married Elisa Schweikhard, of Buffalo, New York. Beginning with their honeymoon, they have since visited over 80 countries, often with backpacks and no reservations. Upon his retirement in 1990, He and Elisa have lived in Albuquerque, NM. They have three adult children, and two grandchildren.
Three of his original research documents that are much harder to find generally are now available here in PDF form,
Hufnagel, R., "Restoration of Atmospherically Degraded Images: Woods Hole Summer Study", July 1966. Click here
Hufnagel, R., "Measurement of Atmospheric Turbulence via Observations of Instantaneous Optical Blur of Functions", AGARD Conference Proceedings #33, July 1970, pp 703-709. Click here.
Hufnagel, R., "Variations of Atmospheric Turbulence",proceedings of topical meeting on optical propagation through turbulence That, University of Colorado, Boulder, July 1974. Click Here
Hufnagel, R., "The Probability of a Lucky Exposure", PerkinElmer Corporation internal report RH-0155, 21 Feb 1989. Click here.
Other research papers
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Mackay, C D, et al., (2001), "Sub-Electron Read Noise at MHz Pixel Rates", SPIE vol. 4306A, San Jose, January 2001,p289-298. Click Here.
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P. Jerram, P. Pool, R. Bell, D. Burt, S. Bowring, S. Spencer, M. Hazlewood, I. Moody, N. Catlett, P. Heyes, "the LLLCCD: Low Light Imaging without the need for an intensifier, SPIE vol. 4306, 2001.
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Baldwin, J.E, Tubbs, R.N., Mackay, C.D., et al, (2001), Diffraction-limited 800nm imaging with the 2.56m Nordic Optical Telescope, Ast & Astrophys, vol. 368, L1-4. Click Here.
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Tubbs, R. N, Mackay, C. D., et al., (2002), "Diffraction Limited CCD Imaging with faint reference stars", Ast & Astrophys, vol. 387, L21-24. Click Here.
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Tubbs. R.N., Mackay. C.D., Baldwin, J. E., (2002), “Diffraction-limited I band imaging with faint reference stars”, SPIE vol. 4839, page 1093. 22-26August2002, Kona, Hawaii.(PostScript) (PDF).
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Basden, A. G, Mackay, C.D., et al., (2002), “Low Read-Out Noise CCDs in Optical Interferometry”, SPIE 4838, page 786. 22-28 August 2002, Kona, Hawaii, August 2002.(PostScript)
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Mackay, C.D., et al., (2000), CIRSI: the Cambridge infrared survey instrument for wide-field astronomy, Proc SPIE vol. 4008, 1317-1324.
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Mackay, C. D., Tubbs, R. N., Baldwin, J.E., (2002), “Noise-Free Detectors in the Visible and Infrared: Implications for the Design of Next Generation AO Systems and Large Telescopes, SPIE 4840, page 436. 26-28August2002, Kona, Hawaii, August 2002. (PostScript)
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A.G. Basden, C.A. Haniff, and C.D. Mackay.(2002) “L3CCDs: fast photon counting for optical interferometry” In Proc. Scientific Detectors Workshop, ASSL Library Series. 16-23June2002, Hawaii, Kluwer, 2002.(PostScript)
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A.G. Basden, R.N. Tubbs, and C.D. Mackay, (2002) “L3CCDs: low readout noise CCDs in astronomy”, In Proc. Scientific Detectors Workshop, ASSL Library Series. 16-23June2002, Hawaii, Kluwer, 2002(PostScript)
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A. G. Basden, C. A. Haniff and C. D. Mackay (2003) “Photon Counting Strategies with low light level CCDs”, Mon. Not R. astro. Soc, vol. 345, 985-991. Click Here.
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S. Tulloch (2004) "Photon Counting and Fast Photometry with L3CCDs", SPIE(Glasgow) June 2004. Click Here
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A. G. Basden, C.A. Haniff, C.D. Mackay, M.Bridgeland, D.M.A. Wilson, J.S. Young, and D.F. Buscher. A new photon counting spectrometer for the COAST. In W.Traub, J.D. Monnier, and M.Schöller, editors, New Frontiers in Stellar Interferometry, volume 5491 of Proc. SPIE. 21-25June2004, Glasgow, SPIE Press, 2004, p677.
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C.A. Haniff, J.E. Baldwin, A.G. Basden, N.A. Bharmal, R.C. Boysen, D.F. Buscher, J.Keen, C.D. Mackay, B.O'Donovan, E.B. Seneta, H.Thorsteinsson, N.Thureau, R.N. Tubbs, P.J. Warner, D.M.A. Wilson, and J.S. Young. COAST: recent technology and developments. In W.Traub, J.D. Monnier, and M.Schöller, editors, New Frontiers in Stellar Interferometry, volume 5491 of Proc. SPIE. 21-25June2004, Glasgow, SPIE Press, 2004, p511.
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C. D. Mackay, J. Baldwin, N. Law, P. Warner (2004) “High resolution imaging in the visible from the ground without adaptive optics: new techniques and results”, SPIE vol 5492, Glasgow, June 2004, p128.Click Here
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C. D. Mackay, A. Basden, M. Bridgeland (2004),”Astronomical imaging with L3CCDs: detector performance and high-speed controller design”, SPIE 5499 Glasgow, June 2004, 203-209. Click Here..
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N.M. Law, C.D. Mackay, and J.E. Baldwin (2005), "Lucky Imaging: High Angular Resolution Imaging in the Visible from the Ground", (submitted to Astron & Astrophys, 24 June 2005). Click Here. (astro-ph/0507299).
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C. D. Mackay (2005), "Near Diffraction Limited Visible Imaging on 10m class telescopes", In Proc. Scientific Detectors Workshop, ASSL Library Series. 20-24June2005, Taormina, Kluwer. Click Here
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N.M. Law, S. T. Hodgkin, C. D. Mackay, J. E. Baldwin, (2005), “10 New Very Low Mass Binaries Resolved in the Visible”, Astron. Nachr. vol. 326, No. 10, 1024–1025. Click Here
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C. D. Mackay (2005) “Near Diffraction-Limited Visible Imaging on 10-30 m Class Telescopes with EMCCDs”, Proceedings of Conference on Instrumentation for ELTs, Ringberg. Click Here.
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N.M.Law, S.T. Hodgkin, C.D. Mackay (2006) “Discovery of Five Very Low Mass Close Binaries, Resolved in the Visible with Lucky Imaging”, Mon. Not. R astr Soc, Vol. 368, pp. 1917-1924. (astro-ph/0512449)
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N. M. Law, C. D. Mackay and J. E. Baldwin (2006) “Lucky imaging: high angular resolution imaging in the visible from the ground” Astron & Astrophys, vol. 446, 739-745. Click Here
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N.M. Law, S.T. Hodgkin and C.D. Mackay, “The LuckyCam Survey for Very Low Mass Binaries II:13 new M4.5-M6.0 Binaries”, (2008), MNRAS (submitted)
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M. Scardia, R.W. Argyle, J.-L. Prieur, L. Pansecchi, S. Basso, N.M. Law, and C.D. Mackay (2007) “The orbit of the visual binary ADS 8630 (γVir)”, Astron. Nachr.,328, No. 2, 146 – 153.
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Sijiong Zhang, Frank F. Suess, and Craig D. Mackay, (2007), "Anisoplanatic Lucky Imaging for Surveillance", (in preparation).click here
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N.M. Law, S.T. Hodgkin and C.D. Mackay, “The LuckyCam Survey for Very Low Mass Binaries II:14 new M4.5-M6.0 Binaries”, (2007), MNRAS (submitted).( http://arxiv.org/abs/0704.1812)
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N.M.Law "Lucky Imaging: Diffraction Limited Imaging from the ground in the Visible", Ph D Thesis, Cambridge University, UK, 2007. HTML version here (clickable indexed version), and pdf version (12 MBytes) here.
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Baldwin, J.E, Warner, P.J., and Mackay, C.D., “The Point Spread Function in Lucky Imaging and Variations in Seeing on Short Timescales”, (2008), Astron & Astrophys, vol.480, p589,2008 (pdf version here)
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N.M. Law, C.D. Mackay, R.G. Dekany, M. Ireland, J. P. Lloyd, A. M. Moore, J.G. Robertson, P. Tuthill, H. Woodruff, "Getting Lucky with Adaptive Optics: Fast AO Image Selection the Visible with a Large Telescope", (2008), submitted to Astrophysical Journal, May 2008.(pdf version here)
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Craig Mackay, Nick Law and Timothy D Stayley, "Diffraction Limited Imaging in the Visible from Large Ground-Based Telescopes: New Methods for Future Instruments and Telescopes", (2008), SPIE 7014, Marseille June 2008.(pdf version here)
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N.M. Law, R. G. Dekany, C.D. Mackay, A.M. Moore, M.C. Britton and V.Velur, "Getting lucky with adaptive optics: diffraction-limited resolution in the visible with current AO systems on large and small telescopes", (2008), SPIE 7014, Marseille June 2008. (pdf version here)
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W. Saunders, P. R. Gillingham, A. J. McGrath, D. K. Ward, J. W. V. Storey, J. Lawrence, "PILOT: a wide-field telescope for the Antarctic plateau ", (2008), SPIE 7012, Marseille June 2008.
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H. C. Woodruff, P. G. Tuthill, G. Robertson, M. J. Ireland, N. M. Law, C. D. Mackay, "Lucky adaptive optics, aperture masking and polarimetry project", (2008), SPIE 7013, Marseille June 2008.
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F. Hormuth, "MicroLux: high-precision timing of highspeed photometric observations " (2008), SPIE 7014, Marseille June 2008.
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Oscoz, R. Rebolo, "FastCam: a new lucky image instrument for medium-sized telescopes " (2008), SPIE 7014, Marseille June 2008.
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F. Hormuth, S. Hippler, W. Brandner, K. Wagner, T. F. E. Henning, "AstraLux: the Calar Alto lucky imaging camera " (2008), SPIE 7014, Marseille June 2008.
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L. F. Rodríguez-Ramos, J. J. Piqueras-Meseguer, Y. Martín-Hernando, A. Oscoz, R. Rebolo, "Real-time lucky imaging in FASTCAM project" (2008), SPIE 7014, Marseille June 2008.
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R. L. López, A. Calcines Rosario, "An atmospheric dispersion corrector to work with FastCam at WHT" (2008), SPIE 7014, Marseille June 2008.
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S. Gladysz, J. Christou, N. M. Law, R. G. Dekany, M. R. Redfern, C. D. Mackay, "Lucky imaging and speckle discrimination for the detection of faint companions with adaptive optics " (2008), SPIE 7015, Marseille June 2008.
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L. F. Rodríguez-Ramos, M. López-Marrero, J. M. Rodríguez-Ramos, "Static telescope aberration measurement and correction using lucky imaging techniques" (2008), SPIE 7018, Marseille June 2008.
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N. M. Law, R. G. Dekany, C. D. Mackay, A. M. Moore, M. C. Britton, V. Velur, “Getting lucky with adaptive optics: diffraction-limited resolution in the visible with current AO systems on large and small telescopes“,(2008), SPIE 7015 Marseille June 2008.
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J.S.Lawrence, C. Mackay, et al, “The Science Case for PILOT I: Summary and Overview”, (2008) Pub Ast soc Aust.,vol 26, 379.
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C. Mackay, “High Resolution Imaging on the VLT”, (2009) Astrophs & Space Science Proc: Science with the VLT in the ELT era, p449-453.
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C. Mackay, “High-Speed, Photon Counting CCD cameras for Astronomy", (2009), ESO Workshop on Scientific Detectors, Garching, October 2009.
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Malesani,D.; Augusteijn,T.; Mackay,C.; King,D.; Staley,T.; deCia,A.; Jakobsson,P., " GRB 090715B: NOT optical observations.", GCN 9671, 1.
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Malesani,D.; Cox,G.C.; Mackay,C.; King,D.; Staley,T.; Jakobsson,P., " GRB 090715B: further NOT optical observations.", GCN 9867, 1.
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7735-28, High-resolution imaging and spectroscopy in the visible from large ground-based telescopes with natural guide stars- C. D. Mackay, T. D. Staley, D. King, F. Suess and K. Weller, Univ. of Cambridge (United Kingdom). Copy available here (pdf format).
Near-diffraction limited imaging and spectroscopy in the visible on large (8-10 meter) class telescopes has proved to be beyond the capabilities of current adaptive optics technologies, even when using laser guidestars. The need for high resolution visible imaging in any part of the sky suggests that a rather different approach is needed. This paper describes the results of simulations, experiments and astronomical observations that show that a combination of low order adaptive optic correction using a 4-field curvature sensor and fast Lucky Imaging strategies with photon counting CCD camera systems should deliver 20-25 milliarcsecond resolution in the visible with reference stars as faint as 18.5 magnitude in I band on large telescopes. Such an instrument may be used to feed an integral field spectrograph efficiently using configurations that will also bedescribed.
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7735-121, FASTCAM optomechanical system design and manufacture - G. Murga Llano, R. Sanquirce, IDOM (Spain); A. Oscoz, R. L. López, Instituto de Astrofísica de Canarias (Spain); R. Campo, IDOM (Spain)
FastCam is an instrument jointly developed by the Instituto de Astrofísica de Canarias (IAC) and the Universidad Politécnica de Cartagena (UPCT), designed to obtain high spatial resolution images in the optical wavelength range from ground-based telescopes (http://www.iac.es/proyecto/fastcam). The instrument is equipped with a very low noise and very fast readout speed EMCCD camera which provides short exposure images to an FPGA-based processor which performs the selection, recentering and combination of images in real-time (applying Lucky Imaging Techniques) to provide difraction limited resolution images in 1-4 m class telescopes from 500 to 850 nm. IDOM has contributed to this new state-of-the-art instrument with the design of an optomechanical system conceived to maximize the image scale stability of the system for astrometry. The combination of aluminum plates, carbon fiber (CFRP) rods and stainless steel mounts in the optical bench define an athermalized and stiff design to meet the requirements of thermal and mechanical stability.
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7735-32, High-spatial resolution and high contrast in speckle imaging for the search of nearby companions in the optical regime - L. Labadie, R. Rebolo Lopez, B. Femenía, J. A. Pérez Prieto, Instituto de Astrofísica de Canarias (Spain); I. Villo Pérez, A. Díaz Sánchez, A. Pérez Garrido, Univ. Politécnica de Cartagena (Spain); S. R. Hildebrandt, V. Sanchez Bejar, A. Oscoz, R. L. López, Instituto de Astrofísica de Canarias (Spain)
In this paper, we present an original observational approach, which combines, for the first time, traditional speckle imaging with image postprocessing to obtain in the optical domain diffraction-limited images with high contrast (1e-5) within 0.5 to 2 arcseconds around a bright star. The post-processing step is based on wavelet filtering an has analogy with edge enhancement and high-pass filtering. Our I band on-sky results with the 2.5m Nordic Telescope (NOT) and the lucky imaging instrument FASTCAM show that we are able to detect L-type brown dwarf companions around a solar-type star with a contrast Delta_I~12 at 2 arcseconds and with no use of any coronographic capability, which greatly simplifies the instrumental and hardware approach. This object has been so far detected only in the near-infrared on AO-assisted 8-10 m class telescopes (Gemini, Keck). Discussing the advantage and disadvantage of the optical regime for the detection of faint intrinsic fluxes close to bright stars, we develop some perspectives for other fields, including the possible detection of the reflected light by planetarymass companions. To the best of our knowledge this is the first time that high contrast considerations are included in a speckle imaging approach.
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7735-221, Data reduction strategies for lucky imaging, T. D. Staley, C. D. Mackay, D. King, F. Suess and K. Weller, Univ. of Cambridge (United Kingdom) Copy available here (pdf format)
Lucky Imaging is a proven technique for near diffraction limited imaging in the visible; however, data reduction and analysis techniques are relatively unexplored in the literature. We review the processes that create the rapidly varying, multiply stochastic PSF in short exposures, and use both simulated and real data to test and calibrate improved guide star registration methods including using multiple guide stars. Last, we present some results on the spatial variability of the PSF in reduced images over wide fields of view, and describe a PSF fitting package developed specifically for extracting science data from such images.
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7736-132, SAM sees the light, A. A. Tokovinin, R. Tighe, P. Schurter, R. Cantarutti, N. S. van der Bliek, M. Martinez, E. Mondaca, W. Naudy, National Optical Astronomy Observatory (United States)
We present a progress report on the SOAR Adaptive Module, SAM, including some results of tests of the Natural Guide Star mode, such as corrected images in the visible, performance estimates and experiments with lucky imaging. We have tested methods to measure the seeing and the AO time constant from the loop data and compared the results to those of the the stand-alone site monitor. Measurements of the instrument throughput, telescope vibrations, and non-common-path aberrations are given. We report progress on the Laser Guide Star system implementation, including tests of the UV laser, test of the beam transfer optics with polarization control and the design of the laser launch telescope.
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7736-145, Lucky imaging and adaptive optics on 10-m class telescopes: a real promise for diffraction limited imaging in the visible? B. Femenía Castellá, L. Labadie, Instituto de Astrofisica de Canarias (Spain); R. Rebolo Lopez, Instituto de Astrofisica de Canarias (Spain) and CSIC (Spain); J. A. Pérez Prieto, Instituto de Astrofisica de Canarias (Spain); A. Pérez Garrido, A. Díaz Sánchez, I. Villo Pérez, Univ. Politécnica de Cartagena (Spain)
Lucky imaging (LI) has been considered for a very long time as a cheap and/or competing alternative to adaptive optics (AO) systems. Very recent results in 4-5 m class telescopes indicate the potential benefits of having both techniques working together. In this paper we investigate from numerical simulations the potential benefits of extending such collaboration between both techniques to the domain of the 10-m class telescopes where already existing AO systems exist having been designed and optimized for operation in the NIR wavelength range. The combination of LI plus AO results not only on a better level of correction in the wavelength domain in the NIR, but also allows to extend the domain of AO correction to shorter wavelengths where AO is expected to deliver poor corrections. As a particular science case, we will show how the combination of AO+LI results in achieving a higher contrast ratio which is further enhanced when combined with a novel post-processing approach. This post-processing technique has achieved contrast ratio of up to 12 magnitudes in I-band at 2 arcsec when applied to traditional lucky imaging at 2-m class telescopes without AO. Hopes are high that significant gains in contrast ratio and angular resolution will result when applied to AO+LI systems in 10-class telescopes.
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7736-179, Anisoplanatism across wide fields at highframe rates, T. D. Staley, C. D. Mackay, D. King, F. Suess and K. Weller, Univ. of Cambridge (United Kingdom) Copy available here (pdf format).
In this paper we investigate the variation of the isoplanatic patch size and other turbulent effects over short timescales and wide angular separations. We tested a visible band photon counting camera running with four 1k squared detectors to provide a contiguous field of view of 1000*4000 pixels. Resolution was 35-100 mas per pixel at frame rates from 20-111hz, providing data on wide angle atmospheric turbulence. We discuss the potential of such cameras to perform high resolution optical surveys using developments of standard “lucky imaging” techniques, and the implications of our results for adaptive optics systems design.
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7736-222, The Subaru coronagraphic extreme AO (SCExAO) system: visible imaging mode, V. Garrel, National Astronomical Observatory of Japan/Subaru Telescope (United States) and LESIA, Observatoire de Paris (France); O. Guyon, National Astronomical Observatory of Japan/Subaru Telescope (United States); P. Baudoz, LESIA, Observatoire de Paris à Meudon (France); F. Martinache, F. Vogt, T. Yoshikawa, K. Yokochi, National Astronomical Observatory of Japan/Subaru Telescope (United States)
The Subaru Coronagraphic Extreme Adaptive Optics (SCExAO) system is an instrument designed to be inserted between the Subaru AO188 system and the infrared HiCIAO camera in order to greatly improve the contrast in the very close (<0.5”) neighbourhood of stars. Next to the infrared coronagraphic path, a visible scientific path, based on a EMCCD camera, has been implemented. Benefiting from both AO correction and new data processing techniques, it is a powerful tool for high angular resolution imaging and opens numerous new science opportunities. A factor 2 to 3 in Strehl ratio is obtained compared to the AO long exposure time: up to 25% Strehl in the 650nm wavelength, depending on the image processing algorithm used and the seeing conditions. The system is able to deliver diffraction limited images at 650 nm (17 mas FWHM). Our baseline image processing algorithm is based on the selection of the best signal for each spatial frequency. We demonstrate that this approach offers significantly better results than the classical select, shift and add approach (lucky imaging). We report on the first on-sky visible imaging results. We also describe how the SCExAO visible channel will also later host a high performance optical wavefront sensor based on a nonlinear curvature scheme.
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7736-227, Frame selection techniques for the Magellan adaptive optics VisAO camera, J. R. Males, L. M. Close, D. A. Kopon, V. Gasho, K. Brutlag, The Univ. of Arizona (United States)
The Magellan AO system will begin commissioning in late 2011. Its VisAO camera will provide 20 mas FWHM images with mean Strehl ratios of ~0.2 in R band on a 6.5m telescope. Depending on seeing conditions, Strehl ratio may reach temporary peaks as high as 0.5 at these wavelengths. To take advantage of these brief periods of high performance, we plan to adopt “Lucky Imaging” style data taking and reduction techniques. As part of this effort we have developed a novel real-time frame selection technique, which will use AO system telemetry and a fast shutter to limit CCD exposure to these very brief moments of higher Strehl. Here we describe the expected benefits of our frame selection techniques in various operating modes. We also present the results of laboratory characterization of the shutter, and describe the performance of predictive algorithms used to control it.
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7742-01, High-speed photon-counting CCD cameras for astronomy, C. D. Mackay, T. D. Staley, D. King, F. Suess and K. Weller, Univ. of Cambridge (United Kingdom). Copy available here (pdf format).
The design of electron multiplying CCD cameras require a very different approach from that appropriate for slow scan CCD operation. This paper describes the main problems in using electron multiplying CCDs for highspeed, photon counting applications in astronomy and how these may be substantially overcome. With careful design it is possible to operate the E2V Technologies L3CCDs at rates well in excess of that claimed by the manufacturer, and that levels of clock induced charge dramatically lower than those experienced with commercial cameras that need to operate at unity gain. Measurements of the performance of the E2V Technologies CCD201 operating at 26 MHz will be presented together with a guide to the effective reduction of clock induced charge levels. Examples of astronomical results obtained with our cameras will be presented.
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7742-03, The darkest EMCCD ever, O. Daigle, Univ. de Montréal (Canada); S. Blais-Ouellette, Photon etc. Inc. (Canada); C. Carignan, Univ. de Montréal (Canada)
EMCCDs are devices capable of sub-electron read-out noise at high pixel rate, together with a high quantum efficiency (QE). However, they are plagued by an excess noise factor (ENF) which has the same effect on photometric measurement as if the QE would be halved. In order to get rid of the ENF, the photon counting (PC) operation is mandatory, with the drawback of counting only one photon per pixel per frame. The high frame rate capability of the EMCCDs comes to the rescue, at the price of increased clock induced charges (CIC), which dominates the noise budget of the EMCCD. The CIC can be greatly reduced with an appropriate clocking, which renders the PC operation of the EMCCD very efficient for faint flux photometry or spectroscopy, adaptive optics, ultrafast imaging and Lucky Imaging. This clocking is achievable with a new EMCCD controller: CCCP, the CCD Controller for Counting Photons. CIC levels measured with the controller are in the range of 0.001 - 0.002 electron/pixel/image, which is about an order of magnitude lower than what is commercially available. This new controller was integrated into an EMCCD camera and tested at the observatoire du Mont-Mégantic. The results are presented in this paper.
Page last updated: 3 March 2011 at 11:52