Generating and processing optical waveforms using spectral singularities

We show that a laser at threshold can be utilized to generate the class of coherent and transform-limited waveforms ${(vt-z)}^m{e}^{i(kz-\omega t)}$ at optical frequencies.We derive these properties analytically and demonstrate them in semiclassical time-domain laser simulations. We then utilize these waveforms to expand other waveforms with high modulation frequencies and demonstrate theoretically the feasibility of complex-frequency coherent-absorption at optical frequencies, with efficient energy transduction and cavity loading. This approach has potential applications in quantum computing, photonic circuits, and biomedicine.