Abstract

Transverse spatial modes of light offer a large state-space with interesting physical properties. For exploiting these special modes in future long-distance experiments, the modes will have to be transmitted over turbulent free-space links. Numerous recent lab-scale experiments have found significant degradation in the mode quality after transmission through simulated turbulence and consecutive coherent detection. Here, we experimentally analyze the transmission of one prominent class of spatial modes—orbital-angular momentum (OAM) modes—through 3 km of strong turbulence over the city of Vienna. Instead of performing a coherent phase-dependent measurement, we employ an incoherent detection scheme, which relies on the unambiguous intensity patterns of the different spatial modes. We use a pattern recognition algorithm (an artificial neural network) to identify the characteristic mode patterns displayed on a screen at the receiver. We were able to distinguish between 16 different OAM mode superpositions with only a ∼1.7% error rate and to use them to encode and transmit small grayscale images. Moreover, we found that the relative phase of the superposition modes is not affected by the atmosphere, establishing the feasibility for performing long-distance quantum experiments with the OAM of photons. Our detection method works for other classes of spatial modes with unambiguous intensity patterns as well, and can be further improved by modern techniques of pattern recognition.

Highlights

  • Transverse spatial modes of light offer a large state-space with interesting physical properties

  • The second component is the orbital angular momentum (OAM), which corresponds to the spatial phase distribution of the photon

  • The integer l stands for the topological charge or helicity, and lħ is the orbital-angular momentum (OAM) of the photon [13]

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Summary

Introduction

Transverse spatial modes of light offer a large state-space with interesting physical properties. Several theoretical studies have analyzed the behavior of OAM light beams in a turbulent atmosphere [14,15,16,17,18,19]. Different OAM beams are generated from Gaussian beams using holographic transformations at the sender and transmitted through a simulated atmosphere. The transmitted modes are transformed back to Gaussian beams in order to analyze the quality of the OAM modes after free-space propagation.

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