Fast radio bursts are a coherent cosmological probes. Searching for the phase correlations of a fast radio burst in the voltage data of radio telescopes can allow for the detection of a gravitational lens. The papers below link to the technique used to search for this signature and how this search allows us to constrain dark matter in the form of compact objects.

Papers:

Coherent Search Algorithm
Constraints on Dark Matter 

By simulating from first principles how the propagation of electromagnetic radiation through astrophysical mediums appears to observers, we can model the detection signatures that can change depending on the astrophysical lens. The paper linked below provides a simulation toolset to model different types of astrophysical lenses and provides a overview of how different propagation signatures may appear in data.  

Paper:

Simulating Astrophysical Lensing 

Code:

Github Repo