The shape of the photon transfer curve of CCD sensors
Abstract
The photon transfer curve (PTC) of a CCD depicts the variance of uniform images as a function of their average. It is now well established that the variance is not proportional to the average, as Poisson statistics would indicate, but rather flattens out at high flux. This “variance deficit”, related to the brighter-fatter effect, feeds correlations between nearby pixels that increase with flux, and decay with distance. We propose an analytical expression for the PTC shape, and for the dependence of correlations with intensity, and relate both to some more basic quantities related to the electrostatics of the sensor, which are commonly used to correct science images for the brighter-fatter effect. We derive electrostatic constraints from a large set of flat field images acquired with a CCD e2v 250, and eventually question the generally-admitted assumption that boundaries of CCD pixels shift by amounts proportional to the source charges. Our results show that the departure of flat field statistics from the Poisson law is entirely compatible with charge redistribution during the drift in the sensor.
- Authors:
-
- Lab. de Physique Nucléaire et de Hautes Énergies, Paris (France)
- Sorbonne Univ., Paris (France)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Stanford Univ., CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- Contributing Org.:
- The Dark Energy Science Collaboration
- OSTI Identifier:
- 1577585
- Grant/Contract Number:
- AC02-05CH11231; AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Astronomy and Astrophysics
- Additional Journal Information:
- Journal Volume: 629; Journal ID: ISSN 0004-6361
- Publisher:
- EDP Sciences
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Astronomy & Astrophysics; Abstract; Full HTMLPDF; (1.501 MB); ePUB (10.37 MB); References; NASA ADS Abstract Service
Citation Formats
Astier, Pierre, Antilogus, Pierre, Juramy, Claire, Le Breton, Rémy, Le Guillou, Laurent, and Sepulveda, Eduardo. The shape of the photon transfer curve of CCD sensors. United States: N. p., 2019.
Web. doi:10.1051/0004-6361/201935508.
Astier, Pierre, Antilogus, Pierre, Juramy, Claire, Le Breton, Rémy, Le Guillou, Laurent, & Sepulveda, Eduardo. The shape of the photon transfer curve of CCD sensors. United States. doi:https://doi.org/10.1051/0004-6361/201935508
Astier, Pierre, Antilogus, Pierre, Juramy, Claire, Le Breton, Rémy, Le Guillou, Laurent, and Sepulveda, Eduardo. Mon .
"The shape of the photon transfer curve of CCD sensors". United States. doi:https://doi.org/10.1051/0004-6361/201935508. https://www.osti.gov/servlets/purl/1577585.
@article{osti_1577585,
title = {The shape of the photon transfer curve of CCD sensors},
author = {Astier, Pierre and Antilogus, Pierre and Juramy, Claire and Le Breton, Rémy and Le Guillou, Laurent and Sepulveda, Eduardo},
abstractNote = {The photon transfer curve (PTC) of a CCD depicts the variance of uniform images as a function of their average. It is now well established that the variance is not proportional to the average, as Poisson statistics would indicate, but rather flattens out at high flux. This “variance deficit”, related to the brighter-fatter effect, feeds correlations between nearby pixels that increase with flux, and decay with distance. We propose an analytical expression for the PTC shape, and for the dependence of correlations with intensity, and relate both to some more basic quantities related to the electrostatics of the sensor, which are commonly used to correct science images for the brighter-fatter effect. We derive electrostatic constraints from a large set of flat field images acquired with a CCD e2v 250, and eventually question the generally-admitted assumption that boundaries of CCD pixels shift by amounts proportional to the source charges. Our results show that the departure of flat field statistics from the Poisson law is entirely compatible with charge redistribution during the drift in the sensor.},
doi = {10.1051/0004-6361/201935508},
journal = {Astronomy and Astrophysics},
number = ,
volume = 629,
place = {United States},
year = {2019},
month = {9}
}
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Works referenced in this record:
Consequences of thick CCDs on image processing
journal, April 2014
- Lupton, Robert H.
- Journal of Instrumentation, Vol. 9, Issue 04
Measurements and simulations of the brighter-fatter effect in CCD sensors
journal, March 2017
- Lage, C.; Bradshaw, A.; Tyson, J. A.
- Journal of Instrumentation, Vol. 12, Issue 03
The first-year shear catalog of the Subaru Hyper Suprime-Cam Subaru Strategic Program Survey
journal, December 2017
- Mandelbaum, Rachel; Miyatake, Hironao; Hamana, Takashi
- Publications of the Astronomical Society of Japan, Vol. 70, Issue SP1
The DICE calibration project Design, characterization, and first results
journal, September 2015
- Regnault, N.; Guyonnet, A.; Schahmanèche, K.
- Astronomy & Astrophysics, Vol. 581
Precision astronomy with imperfect fully depleted CCDs — an introduction and a suggested lexicon
journal, March 2014
- Stubbs, C. W.
- Journal of Instrumentation, Vol. 9, Issue 03
The brighter-fatter effect and pixel correlations in CCD sensors
journal, March 2014
- Antilogus, P.; Astier, P.; Doherty, P.
- Journal of Instrumentation, Vol. 9, Issue 03
Photometry of supernovae in an image series: methods and application to the SuperNova Legacy Survey (SNLS)
journal, August 2013
- Astier, P.; El Hage, P.; Guy, J.
- Astronomy & Astrophysics, Vol. 557
Challenges for precision shape measurements
journal, March 2014
- Jarvis, M.
- Journal of Instrumentation, Vol. 9, Issue 03
Instrumental systematics and weak gravitational lensing
journal, May 2015
- Mandelbaum, R.
- Journal of Instrumentation, Vol. 10, Issue 05
Characterization and correction of charge-induced pixel shifts in DECam
journal, May 2015
- Gruen, D.; Bernstein, G. M.; Jarvis, M.
- Journal of Instrumentation, Vol. 10, Issue 05
Evidence for self-interaction of charge distribution in charge-coupled devices
journal, February 2015
- Guyonnet, A.; Astier, P.; Antilogus, P.
- Astronomy & Astrophysics, Vol. 575
Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
journal, August 2014
- Betoule, M.; Kessler, R.; Guy, J.
- Astronomy & Astrophysics, Vol. 568
Exploring the Brighter-fatter Effect with the Hyper Suprime-Cam
journal, May 2018
- Coulton, William R.; Armstrong, Robert; Smith, Kendrick M.
- The Astronomical Journal, Vol. 155, Issue 6
Works referencing / citing this record:
Brighter-fatter Effect in Near-infrared Detectors. I. Theory of Flat Autocorrelations
journal, December 2019
- Hirata, Christopher M.; Choi, Ami
- Publications of the Astronomical Society of the Pacific, Vol. 132, Issue 1007
Sensor Distortion Effects in Photon Monte Carlo Simulations
journal, February 2020
- Peterson, J. R.; O’Connor, P.; Nomerotski, A.
- The Astrophysical Journal, Vol. 889, Issue 2