Optical frequency combs are the enabling technology of a myriad of areas of science and engineering, where the line frequency spacing plays a fundamental role in their areas of application. Here, we review recent research work on the proposal and experimental demonstration of a set of signal processing techniques based on linear phase-only operations, inspired by the theory of the Talbot effect. These are aimed at re-distributing the energy of periodic spectral waveforms, such as frequency combs, achieving an arbitrary control of their line spacing. The energy-preserving nature of such techniques provides them with the capability of mitigating the noise of the signals of interest in a deterministic way, even allowing for the detection and measurement of signals entirely buried under the noise floor.

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Luis Romero Cortés, Reza Maram, Hugues Guillet de Chetlellus, and José Azaña, "Frequency comb signal processing and noise mitigation based on coherent energy redistribution (Conference Presentation)," Proc. SPIE 10921, Integrated Optics: Devices, Materials, and Technologies XXIII, 1092102 (Presented at SPIE OPTO: February 04, 2019; Published: 4 March 2019); https://doi.org/10.1117/12.2513635.6009881827001.