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Measurement of the radial mode spectrum of photons through a phase-retrieval method

Published

Author(s)

Omar S. Magana Loaiza

Abstract

We propose and demonstrate a simple and easy-to-implement projective-measurement protocol to determine the radial index š¯‘¯ of a LaguerreĀ–Gaussian (LGš¯‘™š¯‘¯) mode. Our method entails converting any specified high-order LG0š¯‘¯ 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.
Citation
Optics Letters
Volume
43

Keywords

Paraxial wave optics, spatial light modulators, phase retrieval and optical fibers

Citation

Magana, O. (2018), Measurement of the radial mode spectrum of photons through a phase-retrieval method, Optics Letters, [online], https://doi.org/10.1364/OL.43.006101 (Accessed June 10, 2023)
Created December 14, 2018, Updated July 8, 2019