Fig. 3: Optical near-field Lorentz contrast at a gold nanotip.

a Schematic of Lorentz-PINEM at the gold nanotip. Inelastic scattering creates a superposition of gain- and loss-scattered sideband wave functions with order-dependent optical phase profiles imprinted. b Gain-filtered in-focus TEM image. c, Corresponding boundary-element method simulation. d–g Measured (d, f) and simulated (e, g) defocus Lorentz images of gain (blue frame) and loss (red frame) filtered sidebands, illustrating distinct phase-contrast features at the tip apex and shaft.