Super-Resolution Limit for Raman Spectroscopy and Optical Coherence Tomography.

We study resolution limit for measurements affected by noise and limited by the impulse-response of the measurement system, and discuss its implications for Raman spectroscopy and optical coherence tomography. Regardless of the width of the impulse response, we show theoretically and by numerical example, that the resolution can be enhanced indefinitely by improving signal-to-noise ratio, the number of measurement samples and by relaxing the accuracy needed for amplitudes.