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FUNDAMENTAL LIMITATIONS OF HIGH CONTRAST IMAGING SET BY SMALL SAMPLE STATISTICS
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In this paper, we review the impact of small sample statistics on detection thresholds and corresponding confidence levels (CLs) in high-contrast imaging at small angles. When looking close to the star, the number of resolution elements decreases rapidly toward small angles. This reduction of the number of degrees of freedom dramatically affects CLs and false alarm probabilities. Naively using the same ideal hypothesis and methods as for larger separations, which are well understood and commonly assume Gaussian noise, can yield up to one order of magnitude error in contrast estimations at fixed CL. The statistical penalty exponentially increases toward very small inner working angles. Even at 5–10 resolution elements from the star, false alarm probabilities can be significantly higher than expected. Here we present a rigorous statistical analysis that ensures robustness of the CL, but also imposes a substantial limitation on corresponding achievable detection limits (thus contrast) at small angles. This unavoidable fundamental statistical effect has a significant impact on current coronagraphic and future high-contrast imagers. Finally, the paper concludes with practical recommendations to account for small number statistics when computing the sensitivity to companions at small angles and when exploiting the results of direct imaging planet surveys.
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“The small number of statistically independent patches close to the central star means that a correction is required to the sensitivity as described in Mawet et al. (2014), and we apply this correction to the contrast curve.”
From ALMA and NACO observations towards the young exoring transit system J1407 (V1400 Cen) (2020) · cites this paper as Mawet et al. 2014
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Galicher, R., Marois, C., Macintosh, B., Zuckerman, B., Barman, T., Konopacky, Q., Song, I., Patience, J., Lafreniére, D., Doyon, R., et al. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1607.08239 · Cited by 61
Self-citationSeparating extended disc features from the protoplanet in PDS 70 using VLT/SINFONI
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Self-citationTHE FIRST SCIENCE RESULTS FROM SPHERE: DISPROVING THE PREDICTED BROWN DWARF AROUND V471 TAU
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Self-citationRuane, G., Mawet, D. P., Kastner, J. H., Meshkat, T., Bottom, M., Castellá, B. F., Absil, O., Gonzalez, C. G., Huby, E., Zhu, Z., et al. (2017) · The Astronomical Journal · doi:10.3847/1538-3881/aa7b81 · Cited by 57
Self-citationON-SKY PERFORMANCE ANALYSIS OF THE VECTOR APODIZING PHASE PLATE CORONAGRAPH ON MagAO/Clio2
Otten, G. P. P. L., Snik, F., Kenworthy, M. A., Keller, C. U., Males, J. R., Morzinski, K. M., Close, L. M., Codona, J. L., Hinz, P. M., Hornburg, K. J., et al. (2017) · The Astrophysical Journal · doi:10.3847/1538-4357/834/2/175 · Cited by 56
Self-citationHinkley, S., Carter, A. L., Ray, S., Skemer, A. J. I., Biller, B. A., Choquet, É., Millar‐Blanchaer, M. A., Sallum, S., Miles, B., Whiteford, N., et al. (2022) · Publications of the Astronomical Society of the Pacific · doi:10.1088/1538-3873/ac77bd · Cited by 53
Self-citationInvestigating the young solar system analog HD 95086
Chauvin, G., Gratton, R., Bonnefoy, M., Lagrange, A. ‐., de Boer, J., Vigan, A., Beust, H., Lazzoni, C., Boccaletti, A., Galicher, R., et al. (2018) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201732077 · Cited by 53
Self-citationGalicher, R., Boccaletti, A., Mesa, D., Delorme, P., Gratton, R., Langlois, M., Lagrange, A. ‐., Maire, A.-L., Coroller, H. L., Chauvin, G., et al. (2018) · MPG.PuRe (Max Planck Society) · Cited by 52
Self-citationDirect imaging of an ultracool substellar companion to the exoplanet host star HD 4113 A
Cheetham, A. C., Ségransan, D., Peretti, S., Delisle, J.-B., Hagelberg, J., Beuzit, J.-L., Forveille, T., Marmier, M., Udry, S., & Wildi, F. P. (2018) · Springer Link (Chiba Institute of Technology) · doi:10.1051/0004-6361/201630136/pdf · Cited by 55
High-contrast imaging of HD 163296 with the Keck/NIRC2 L′-band vortex coronograph
Guidi, G., Ruane, G., Williams, J. P., Mawet, D. P., Testi, L., Zurlo, A., Absil, O., Bottom, M., Choquet, É., Christiaens, V., et al. (2018) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/sty1642 · Cited by 49
Self-citationCHARACTERIZATION OF THE INNER DISK AROUND HD 141569 A FROM KECK/NIRC2 L-BAND VORTEX CORONAGRAPHY
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Self-citationFirst Scattered-light Images of the Gas-rich Debris Disk around 49 Ceti
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Self-citationMilli, J., Vigan, A., Mouillet, D., Lagrange, A. ‐., Augereau, J. ‐., Pinte, C., Mawet, D. P., Schmid, H. M., Boccaletti, A., Matrà, L., et al. (2017) · CaltechAUTHORS (California Institute of Technology) · doi:10.17863/cam.9663 · Cited by 44
Self-citationWagner, K., Stone, J. M., Spalding, E. A., Apai, D., Dong, R., Ertel, S., Leisenring, J., & Webster, R. (2019) · The Astrophysical Journal · doi:10.3847/1538-4357/ab32ea · Cited by 44
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Self-citationProtoplanetary disks in Ks-band total intensity and polarized light
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Self-citationSupervised detection of exoplanets in high-contrast imaging sequences
Gonzalez, C. A. G., Absil, O., & Droogenbroeck, M. V. (2018) · Springer Link (Chiba Institute of Technology) · doi:10.1051/0004-6361/201731961/pdf · Cited by 43
Self-citationImaging low-mass planets within the habitable zone of α Centauri
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Self-citationHST/WFC3 Hα Direct-imaging Detection of a Pointlike Source in the Disk Cavity of AB Aur
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ISPY-NACO Imaging Survey for Planets around Young stars
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Wang, J. J., Graham, J. R., Pueyo, L. A., Nielsen, E. L., Millar-Blanchaer, M., Rosa, R. J. D., Kalas, P., Ammons, S. M., Bulger, J., Cardwell, A., et al. (2015) · The Astrophysical Journal Letters · doi:10.1088/2041-8205/811/2/l19 · Cited by 42
Self-citationFranson, K., Bowler, B., Bonavita, M., Brandt, T. D., Chen, M., Samland, M., Zhang, Z.-J., Lueber, A., Heng, K., Kitzmann, D., et al. (2022) · Astronomical Journal · doi:10.3847/1538-3881/aca408 · Cited by 27
Improving signal-to-noise in the direct imaging of exoplanets and circumstellar disks with MLOCI
Wahhaj, Z., Cieza, L. A., Mawet, D. P., Yang, B., Cánovas, H., de Boer, J., Casassus, S., Ménard, F., Schreiber, M. R., Liu, M. C., et al. (2015) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201525837 · Cited by 42
Self-citationHigh-contrast study of the candidate planets and protoplanetary disk around HD 100546
Sissa, E., Gratton, R., Garufi, A., Rigliaco, E., Zurlo, A., Mesa, D., Langlois, M., de Boer, J., Desidera, S., Ginski, C., et al. (2018) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201732332 · Cited by 42
Self-citationReference-star differential imaging on SPHERE/IRDIS
Xie, C., Choquet, É., Vigan, A., Cantalloube, F., Benisty, M., Boccaletti, A., Bonnefoy, M., Desgrange, C., Garufi, A., Girard, J. H., et al. (2022) · Astronomy and Astrophysics · doi:10.1051/0004-6361/202243379 · Cited by 42
Self-citationA New Standard for Assessing the Performance of High Contrast Imaging Systems
Jensen-Clem, R., Mawet, D. P., Gonzalez, C. A. G., Absil, O., Belikov, R., Currie, T., Kenworthy, M. A., Marois, C., Mazoyer, J., Ruane, G., et al. (2017) · The Astronomical Journal · doi:10.3847/1538-3881/aa97e4 · Cited by 41
Self-citationSupervised detection of exoplanets in high-contrast imaging sequences
Gonzalez, C. A. G., Absil, O., & Droogenbroeck, M. V. (2017) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201731961 · Cited by 50
Self-citationDirect imaging of sub-Jupiter mass exoplanets with James Webb Space Telescope coronagraphy
Carter, A. L., Hinkley, S., Bonavita, M., Phillips, M. W., Girard, J. H., Perrin, M. D., Pueyo, L. A., Vigan, A., Gagné, J., & Skemer, A. J. I. (2020) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/staa3579 · Cited by 41
Self-citationJWST/MIRI coronagraphic performances as measured on-sky
Boccaletti, A., Cossou, C., Baudoz, P., Lagage, P.-O., Dicken, D., Glasse, A. C. H., Hines, D. C., Aguilar, J., Detre, O., Nickson, B. F., et al. (2022) · Astronomy and Astrophysics · doi:10.1051/0004-6361/202244578 · Cited by 41
Self-citationRich, E. A., Wisniewski, J. P., Currie, T., Fukagawa, M., Grady, C. A., Sitko, M. L., Pikhartova, M., Hashimoto, J., Abe, L., Brandner, W., et al. (2019) · The Astrophysical Journal · doi:10.3847/1538-4357/ab0f3b · Cited by 40
DIRECT EXOPLANET DETECTION WITH BINARY DIFFERENTIAL IMAGING
Rodigas, T. J., Weinberger, A. J., Mamajek, E. E., Males, J. R., Close, L. M., Morzinski, K. M., Hinz, P. M., & Kaib, N. A. (2015) · The Astrophysical Journal · doi:10.1088/0004-637x/811/2/157 · Cited by 39
Subaru/SCExAO First-light Direct Imaging of a Young Debris Disk around HD 36546
Currie, T., Guyon, O., Tamura, M., Kudo, T., Jovanović, N., Lozi, J., Schlieder, J. E., Brandt, T. D., Kuhn, J. G., Serabyn, E., et al. (2017) · The Astrophysical Journal Letters · doi:10.3847/2041-8213/836/1/l15 · Cited by 39
Improving signal-to-noise in the direct imaging of exoplanets and circumstellar disks with MLOCI
Wahhaj, Z., Cieza, L. A., Mawet, D. P., Yang, B., Cánovas, H., de Boer, J., Casassus, S., Ménard, F., Schreiber, M. R., Liu, M. C., et al. (2015) · Springer Link (Chiba Institute of Technology) · doi:10.1051/0004-6361/201525837/pdf · Cited by 39
Self-citationWertz, O., Absil, O., Gonzalez, C. A. G., Milli, J., Girard, J. H., Mawet, D. P., & Pueyo, L. A. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1610.04014 · Cited by 39
Self-citation
Metadata
- Authors
- Mawet, D., Milli, J., Wahhaj, Z., Pelat, D., Absil, O., Delacroix, C., Boccaletti, A., Kasper, M., Kenworthy, M., Marois, C., Mennesson, B., & Pueyo, L.
- Affiliations
- European Southern Observatory (CL)
- Centre National de la Recherche Scientifique (FR)
- University of Liège (BE)
- European Southern Observatory (DE)
- Leiden University (NL)
- Herzberg Institute of Astrophysics (CA)
- Jet Propulsion Laboratory (US)
- Space Telescope Science Institute (US)
- ORCID
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 2014-08-21
- Volume
- 792
- Issue
- 2
- Pages
- 97
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2147778163
- Cited by
- 369
- References
- 56
- Citations by year
- 2026: 13 · 2025: 27 · 2024: 29 · 2023: 34 · 2022: 32 · 2021: 34 · 2020: 40 · 2019: 37 · 2018: 41 · 2017: 31 · 2016: 25 · 2015: 20 · 2014: 6
- FWCI
- 13.59
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- The Astrophysical Journal (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- HAL (submittedVersion)
- NPARC (submittedVersion)
- ORBi (University of Liège) (submittedVersion, other-oa)
- arXiv (Cornell University)
- Funders
- National Aeronautics and Space Administration
- California Institute of Technology
- European Commission
- Fédération Wallonie-Bruxelles
- European Southern Observatory
- Jet Propulsion Laboratory
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Adaptive optics and wavefront sensing
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Stellar, planetary, and galactic studies
- Physical Sciences › Physics and Astronomy › Instrumentation › Astronomy and Astrophysical Research
- Keywords
- high-contrast imaging, small sample statistics, detection threshold, confidence level, false alarm probability, inner working angle, coronagraphy, exoplanet direct imaging, statistical limitations, contrast estimation
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