Fast radio bursts (FRBs) are a new mysterious class of radio transients with short intrinsic durations, large dispersion measures (DMs), and all-sky distribution. Their physical origin is not identified, but the recent observational properties have finally settled FRBs to the cosmological range. So far, many interesting properties of FRBs have been found. Our recent works involve propagation properties of FRBs: 1. Extracting host galaxy DM and constraining cosmological parameters using FRBs data; 2. Large host-galaxy DM of FRBs; 3. The DM variation of FRBs. The above studies can help us further understand FRB origin and astrophysical application.
