Abstract

We propose and demonstrate a simple and easy-to-implement projective-measurement protocol to determine the radial index p of a Laguerre–Gaussian (LGpl) mode. Our method entails converting any specified high-order LGp0 mode into a near-Gaussian distribution that matches the fundamental mode of a single-mode fiber (SMF) through the use of two phase screens (unitary transforms) obtained by applying a phase-retrieval algorithm. The unitary transforms preserve the orthogonality of modes before the SMF and guarantee that our protocol can, in principle, be free of crosstalk. We measure the coupling efficiency of the transformed radial modes to the SMF for different pairs of phase screens. Because of the universality of phase-retrieval methods, we believe that our protocol provides an efficient way of fully characterizing the radial spatial profile of an optical field.

© 2018 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Measuring azimuthal and radial modes of photons

Frédéric Bouchard, Natalia Herrera Valencia, Florian Brandt, Robert Fickler, Marcus Huber, and Mehul Malik
Opt. Express 26(24) 31925-31941 (2018)

Realization of a scalable Laguerre–Gaussian mode sorter based on a robust radial mode sorter

Dongzhi Fu, Yiyu Zhou, Rui Qi, Stone Oliver, Yunlong Wang, Seyed Mohammad Hashemi Rafsanjani, Jiapeng Zhao, Mohammad Mirhosseini, Zhimin Shi, Pei Zhang, and Robert W. Boyd
Opt. Express 26(25) 33057-33065 (2018)

Examining second-harmonic generation of high-order Laguerre–Gaussian modes through a single cylindrical lens

Xinyuan Fang, Zeyu Kuang, Peng Chen, Haocheng Yang, Qian Li, Wei Hu, Yanqing Lu, Yong Zhang, and Min Xiao
Opt. Lett. 42(21) 4387-4390 (2017)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Supplementary Material (2)

NameDescription
» Data File 1       Data for calculating the fidelity of the generated modes. The mode fidelity was determined by calculating the root-mean-squared-error (RMSE) between the ideal and the azimuthally averaged intensity distributions of the various LGlp modes.
» Data File 2       Data showing the coupling efficiencies of different input LG^0_pin modes to the SMF after the application of the phase-screens corresponding to the LG^0_pscreen mode. Here, pin represents the radial index of the input mode.

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (1)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription