Journal article

Optical Eratosthenes' sieve for large prime numbers

Abstract:: We report the first experimental demonstration of a prime number sieve via linear optics. The prime numbers distribution is encoded in the intensity zeros of the far field produced by a spatial light modulator hologram, which comprises a set of diffraction gratings whose periods correspond to all prime numbers below 149. To overcome the limited far field illumination window and the discretization error introduced by the spatial light modulator finite spatial resolution, we rely on additional diffraction gratings and sequential recordings of the far field. This strategy allows us to optically sieve all prime numbers below 1492 = 22201.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Li, B., Maltese, G., Costa-Filho, J. I., Pushkina, A. A., & Lvovsky, A. (2020). Optical Eratosthenes' sieve for large prime numbers. Optics Express, 28(8), 11965–11973.

MLA Style

Li, B., et al. “Optical Eratosthenes' Sieve for Large Prime Numbers.” Optics Express, vol. 28, no. 8, Optical Society of America, 2020, pp. 11965–73.

Chicago Style

Li, B, G Maltese, JI Costa-Filho, AA Pushkina, and A Lvovsky. 2020. “Optical Eratosthenes' Sieve for Large Prime Numbers.” Optics Express 28 (8): 11965–73.
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Files:: oe-28-8-11965.pdf

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Publisher copy:: 10.1364/OE.389347

Authors

+ Li, B More by this author

Role:: Author

+ Maltese, G More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Physics
Role:: Author

+ Costa-Filho, JI More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Physics
Role:: Author

+ Pushkina, AA More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Physics
Role:: Author

+ Lvovsky, A More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Physics
Oxford college:: Keble College
Role:: Author

Publisher:: Optical Society of America
Journal:: Optics Express More from this journal
Volume:: 28
Issue:: 8
Pages:: 11965-11973
Publication date:: 2020-04-08
Acceptance date:: 2020-03-13
DOI:: 10.1364/OE.389347
EISSN:: 1094-4087

Language:: English
Pubs id:: 1101509
Local pid:: pubs:1101509
Deposit date:: 2020-05-15

Terms of use

Copyright holder:: Optical Society of America
Copyright date:: 2020
Rights statement:: © 2020 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Licence:: Other

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