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The measurement of the optical Transmission Matrix (TM) enables to access"open channels": input patterns, specific to each scattering structure, capableto deliver very high transmission. Various approaches, based either on multipleinterferometric measurements or on systematic random testing of incidentwavefronts, enable to estimate the inputs required to excite these openchannels. Here, we provide for the first time an approach enabling the completeand reference-less retrieval of the open channels. It is based on the fullmapping all the pairwise interference terms resulting from all the input modescouples. We show that these interference terms are organized into a bi-dyadiccoupling matrix whose eigenvalues enables to access the open channel. Adisordered optical system, is thus behaving exactly like an Hopfield neuralnetwork, where a specific input vector (an eigenvalue of the neurons' couplingmatrix) enables to retrieve a specific memory pattern. The proposed Hopfieldlike open-channel-retrieval approach, enables to reach almost 100$\%$ of thetheoretically expected value of the Intensity. Moreover employing a digitalmicromirror device to modulate light, we demonstrate high speed laser scanningat the back of a disordered medium.

Hopfield-like open channel retrieval for disordered optical media