Elsevier

Optics Communications

Volume 524, 1 December 2022, 128808
Optics Communications

Hybrid OAM-Amplitude multiplexing and demultiplexing of incoherent optical states

https://doi.org/10.1016/j.optcom.2022.128808Get rights and content

Highlights

  • Local demultiplexing of channels encoded in the orbital angular momentum.

  • Demultiplexing of mutually incoherent beams in free space optical communication links.

  • High-density transmission in long-distance communication systems.

Abstract

We propose multiplexing and demultiplexing of Orbital Angular Momentum (OAM) states realized with incoherent beams to increase the effective transmission area in a free space optical communication link. The overlapped states of the beams have been effectively distinguished using a hybrid OAM-Amplitude scheme exploiting only a small portion of the entire wavefront at the receiver. The method has been theoretically formalized and the transmission experimentally tested up to 1 Mbit/s. The proposed method is suitable for high density transmission in long-distance free space optical communication systems.

Introduction

The discovery of radiation carrying orbital angular momentum at the end of the twentieth century [1], [2], [3], [4], [5] has had a huge impact in the field of radio and optical telecommunications [6], [7], [8]. The additional degree of freedom introduced by the momentum quantization of photons Lz=ħl (where l is an integer known as the topological charge and ħ=h/2π, with h the Planck constant) allows to encoding additional information in a communication system intrinsically limited by the frequency band. Different approaches to demultiplex information by exploiting different OAM states both in free space [9], [10], [11] and in fiber [12], [13] have been proposed. These methods generally use the entire wavefront of the radiation to discriminate the states and hence to separate the original channels. The advantage of using the whole wavefront lies in the fact that demultiplexing of states can be achieved with extremely efficient approaches both with refractive [14] and diffractive [15] optics.

Despite the multiplexing and demultiplexing of OAM beams having been extensively explored, locally discriminating OAM states by accessing only a small portion of the entire wavefront is still attracting great interest. This approach becomes essential when the receiver is at large distances from the transmitter and the beam size increases due to the intrinsic divergence of the photon beam, until it exceeds that of the receiver. Local detection methods exploiting double slits have been proposed in previous works to measure the topological charge by using a composite vortex [16] or the intrinsic Gaussian curvature of the OAM radiation [17], [18]. In a more recent work, [19] a phase-locked two-arms interferometer has been proved to be effective in discriminating OAM states of a coherent beams, even by accessing a small portion of the beam only. In the present work, we show that a similar scheme can be used to distinguish OAM states of mutually incoherent beams to avoid amplitude modulations typically generated by superimposed coherent states. This novel approach doubles the effective transmission area preserving the possibility of multiplexing and demultiplexing independent channels. Moreover, with the proposed approach, the incoherent sources can be modulated independently for each channel in order to make the communication link compatible with high-speed modulation systems, much beyond the limit imposed by the spatial light modulator used in [19]. We introduce the proposed method in Section 2 with an extensive formalization of a hybrid OAM-Amplitude scheme for fully incoherent sources. The experimental setup for multiplexing and demultiplexing of two independent channels is described in Section 3, while in Section 4 we discuss our results. Finally, we collect our conclusions in Section 5.

Section snippets

Description of the transmission link

We consider two OAM beams with opposite topological charges l1=l2, generated by two independent laser sources. We assume that the two OAM beams are generated at the same location from waists of equal size w0, and propagate collinearly to an xy observation plane at a distance z from the common waist position. In Section 3 we will show how these requirements can be experimentally fulfilled.

We introduce polar coordinates (r=x2+y2,θ=arctan(y/x)) on the xy plane, and write the instantaneous

Experimental setup

The experimental setup is sketched in Fig. 2. Two independent He–Ne laser sources illuminate two corresponding Computer Generated Holograms (CHG) [20] of opposite charges l1=2, l2=2 (holograms were realized in our laboratory on a polyester film with a resolution of 15 lines/mm). The first diffraction order from both holograms is selected with suitable diaphragms and then overlapped with a beam splitter. An adjustable mirror ensures that the two OAM beams are collinear. The composed beam is

Results and discussion

The intensity transduced with the photodiode in the detection plane has been acquired with the data acquisition system PicoScope 4424. From Eq. (10) we observe that the maximum intensity separation of the states (0,1) and (1,0), under the assumption |l|Δθπ/2, occurs when Δϕ=±π/2 or more in general when Δϕ=(2n+1)π/2 (with n any integer), however, the phase Δϕ is empirically optimized through the piezo-mirror to enhance the separation among the four different states. As shown in Fig. 3, all the

Conclusions

A communication system exploiting two overlapping channels propagating in free space, by using mutually incoherent beams, has been realized in a table-top experiment by taking into account the free space divergence of the beam and the limited 16% effective area of the receiver with respect to the entire radiation wavefront. Here the effective area has been evaluated as the ratio between the detection area AD=As+Am2.6 cm2 and the beam cross-section Ab=πrb216 cm2, where rb=22.5mm is the

Declaration of Competing Interest

The authors declare the following financial interests/personal relationships which may be considered as potential competing interests: B. Paroli has patent issued to PCT/IB2020/053395.

Acknowledgment

This work was supported by the SEED 4 Innovation program of the Università degli Studi di Milano (project: IMPACT) .

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