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Deterministic Superfocusing of terahertz waves in random media

We present a theoretical demonstration of a novel approach to harness deterministic spatiotemporal control of ultrafast terahertz waves in random media. We utilise time-domain detection of terahertz fields using established state-of-the-art time-domain spectroscopy and demonstrate retrieval of coherent transfer matrix exploiting the recently emerging technique of nonlinear ghost imaging, which is a key challenge in photonics. Further, in combination with nonlinear ghost imaging, we retrieve complex-valued elements of coherent transfer matrix and achieve full spatiotemporal wave control using single-step constraint inversion to produce the desired-best fit of the transmitted terahertz waves through random media.