The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Zernike polynomials and atmospheric turbulence*
Abstract
This paper discusses some general properties of Zernike polynomials, such as their Fourier transforms, integral representations, and derivatives. A Zernike representation of the Kolmogoroff spectrum of turbulence is given that provides a complete analytical description of the number of independent corrections required in a wave-front compensation system.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Statistics of a Geometric Representation of Wavefront Distortion
Fried, D. L. (1965) · Journal of the Optical Society of America · doi:10.1364/josa.55.001427 · Cited by 787
Cited by
Optical communications using orbital angular momentum beams
Willner, A. E., Huang, H., Yan, Y., Ren, Y., Ahmed, N., Xie, G., Bao, C., Li, L., Cao, Y., Zhao, Z., et al. (2015) · Advances in Optics and Photonics · doi:10.1364/aop.7.000066 · Cited by 1,943
Contribution of the cornea and internal surfaces to the change of ocular aberrations with age
Artal, P., Berrio, E., Guirao, A., & Piers, P. (2002) · Journal of the Optical Society of America A · doi:10.1364/josaa.19.000137 · Cited by 494
Deep learning wavefront sensing
Nishizaki, Y., Valdivia, M., Horisaki, R., Kitaguchi, K., Saito, M., Tanida, J., & Vera, E. (2019) · Optics Express · doi:10.1364/oe.27.000240 · Cited by 253
Aberration correction for confocal imaging in refractive‐index‐mismatched media
Booth, M. J., Neil, M. A. A., & Wilson, T. (1998) · Journal of Microscopy · doi:10.1111/j.1365-2818.1998.99999.x · Cited by 248
Synchronization of clocks through 12 km of strongly turbulent air over a city
Sinclair, L. C., Swann, W. C., Bergeron, H., Baumann, E., Cermak, M., Coddington, I., Deschênes, J.-D., Giorgetta, F. R., Juarez, J. C., Khader, I., et al. (2016) · Applied Physics Letters · doi:10.1063/1.4963130 · Cited by 82
Metadata
- Authors
- Noll, R. J.
- Venue
- Journal of the Optical Society of America
- Publisher
- Optica Publishing Group
- Published
- 1976-03-01
- Volume
- 66
- Issue
- 3
- Pages
- 207
- ISSN
- 0030-3941 (ISSN-L)
- OpenAlex
- W2059157514
- Cited by
- 2,771
- References
- 1
- FWCI
- 3.88
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Zernike polynomials and atmospheric turbulence*. https://app.cochat.ai/papers/10.1364/josa.66.000207
- The paper
- Noll, R. J. (1976). Zernike polynomials and atmospheric turbulence*. Journal of the Optical Society of America. https://doi.org/10.1364/josa.66.000207
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
