Hybrid OAM-Amplitude multiplexing and demultiplexing of incoherent optical states
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 (where is an integer known as the topological charge and , with 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 , generated by two independent laser sources. We assume that the two OAM beams are generated at the same location from waists of equal size , and propagate collinearly to an observation plane at a distance from the common waist position. In Section 3 we will show how these requirements can be experimentally fulfilled.
We introduce polar coordinates on the – 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 , (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 and , under the assumption , occurs when or more in general when (with any integer), however, the phase 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 cm and the beam cross-section cm, where 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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