Fig. 5

3D single nanoparticle tracking with DH-PSF iSCAT microscopy. a The simulated image shows the ratio of the angular-dependent electric field intensity between the RCP radiation light and the total radiation light from an electric dipole that is placed on a 1D PC. b Raw DH-PSF iSCAT image of a single 20 nm Au nanoparticle. c Resulting ratiometric image of a 20 nm Au particle obtained by subtracting the background without particles. d The calibration curve of the angular orientation vs. axial position of the Au nanoparticle. e Representative trajectory of a single 20 nm Au nanoparticle in glycerol solution with a duration of 1.8 s and an exposure time of 1 ms. f Plots of the mean-square displacement (MSD) in r and z versus diffusion time (blue for r, pink for z) for a nanoparticle’s trajectory over 1 s. The thin lines show the MSD extracted from each individual trajectory. The thick circles and lines show the weighted average and a linear fit to the MSD for displacements r and z, respectively