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Sorting Photons by Radial Quantum Number

Zhou, Yiyu and Mirhosseini, Mohammad and Fu, Dongzhi and Zhao, Jiapeng and Hashemi Rafsanjani, Seyed Mohammad and Willner, Alan E. and Boyd, Robert W. (2017) Sorting Photons by Radial Quantum Number. Physical Review Letters, 119 (26). Art. No. 263602. ISSN 0031-9007.

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The Laguerre-Gaussian (LG) modes constitute a complete basis set for representing the transverse structure of a paraxial photon field in free space. Earlier workers have shown how to construct a device for sorting a photon according to its azimuthal LG mode index, which describes the orbital angular momentum (OAM) carried by the field. In this paper we propose and demonstrate a mode sorter based on the fractional Fourier transform to efficiently decompose the optical field according to its radial profile. We experimentally characterize the performance of our implementation by separating individual radial modes as well as superposition states. The reported scheme can, in principle, achieve unit efficiency and thus can be suitable for applications that involve quantum states of light. This approach can be readily combined with existing OAM mode sorters to provide a complete characterization of the transverse profile of the optical field.

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Additional Information:© 2017 American Physical Society. (Received 8 May 2017; published 28 December 2017) The authors thank Jerry Kuper for technical support and Boshen Gao for helpful discussion. This work is supported by the U.S. Office of Naval Research. In addition, R. W. B. acknowledges support from Canada Excellence Research Chairs Program and National Science and Engineering Research Council of Canada. D. F. acknowledges support from National Natural Science Foundation of China (Grants No. 11374008 and No. 11534008) and China Scholarship Council overseas scholarship.
Funding AgencyGrant Number
Office of Naval Research (ONR)UNSPECIFIED
Canada Research Chairs ProgramUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
National Natural Science Foundation of China11374008
National Natural Science Foundation of China11534008
China Scholarship CouncilUNSPECIFIED
Issue or Number:26
Record Number:CaltechAUTHORS:20180117-165148565
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:84379
Deposited By: George Porter
Deposited On:18 Jan 2018 18:02
Last Modified:03 Oct 2019 19:17

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