Abstract: We have invented a method of sensing a surface by driving a resonator with two or more frequencies and exploiting the nonlinear phenomenon of intermodulation. When a resonator (for example an oscillating cantilever) with a sharp tip is brought close to a surface, the non-linear tip-surface interaction generates intermodulation response of the resonator. The measured frequency spectrum of intermodulation response contains much information about the material composition of the surface. When the resonator is scanned over the surface, the intermodulation spectrum can be used to make an image of the surface with enhanced contrast for different materials on the surface, or it can be used to extract the tip-surface interaction at every point on the surface.

Abstract: We have invented a method of sensing a surface by driving a resonator with two or more frequencies and exploiting the nonlinear phenomenon of intermodulation. When a resonator (for example an oscillating cantilever) with a sharp tip is brought close to a surface, the non-linear tip-surface interaction generates intermodulation response of the resonator. The measured frequency spectrum of intermodulation response contains much information about the material composition of the surface. When the resonator is scanned over the surface, the intermodulation spectrum can be used to make an image of the surface with enhanced contrast for different materials on the surface, or it can be used to extract the tip-surface interaction at every point on the surface.