The complete description of a continuous-wave light field includes its four fundamental
properties: wavelength, polarization, phase and amplitude. However, the simultaneous
measurement of a multi-dimensional light field of such four degrees of freedom is
challenging in conventional optical systems requiring a cascade of dispersive and
polarization elements. In this work, we demonstrate a disordered-photonics-assisted
intelligent four-dimensional light field sensor. This is achieved by discovering that
the speckle patterns, generated from light scattering in a disordered medium, are
intrinsically sensitive to a high-dimension light field given their high structural
degrees of freedom. Further, the multi-task-learning deep neural network is leveraged
to process the single-shot light-field-encoded speckle images free from any prior
knowledge of the complex disordered structures and realizes the high-accuracy recognition
of full-Stokes vector, multiple orbital angular momentum (OAM), wavelength and power.
The proof-of-concept study shows that the states space of four-dimensional light field
spanning as high as 1680=4 (multiple-OAM)
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