Synthesizing Optical Spectra Using Computer-Generated Holography Techniques

We present a novel mapping between computer-generated holography (CGH) and optical spectrum generation via phase modulation. Using this mapping, we create arbitrary optical spectra by modulating light with a time-dependent phase generated through holography techniques. Since our method is compatible with non-linear optical processes such as sum frequency generation and second harmonic generation, one can leverage existing high-bandwidth phase modulators in the NIR to generate arbitrary spectra in the visible, which is often needed in laser-cooling of molecules. As a proof-of-principle demonstration, we create spectra suitable for cycling photons on the X-B transition in CaF and demonstrate efficient molecular beam slowing with the modulated light. Our technique could greatly simplify experimental setups for laser-cooling complex molecules, where multiple closely spaced optical frequencies could be needed.