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• W2186933672 abstract "Optical lateral and longitudinal standing waves can be recorded using an optical scanning probe in collection mode. We describe both analytical and numerical methods to determine the image height and the location of a single point scatterer from the recorded surface diffraction image. We find that the phase of the lateral optical standing wave is minimal along the direction of the reflected beam and that the lateral standing waves are centered around the reflected beam direction. We find that the second derivative of the extracted phase peaks at the position of the point scatterer. We have estimated the image height by fitting the envelop function to the recorded intensity profile along the symmetry axis. In the intermediate distance range (several wavelengths off the surface) we can record objects of sizes smaller than the distance between the object and the image plane. optical field in the vicinity of the surface by illuminating at an angle and scanning an optical probe. The overlap of incident and reflected waves leads first to standing waves parallel to the surface (surface standing waves, SW). These SWs can be used to orient the image plane parallel to the surface at variable distances from the surface without the use of a feedback signal. The accuracy of how parallel the image plane can be oriented depends on the size of the recorded image. A lateral structure in the surface or presence of an object influences the reflected wave which results in diffraction and the formation of lateral standing waves (LSW). The amplitude of the LSW at intermediate distances from the surface depends on the size of the local non-uniformity of the surface or its polarizability. The LSW is proportional to the incident and scattered field. The scattered field is considerably smaller than the incident field and the incident field amplifies the LSW. The incident wave can be approximated with a plane wave and the scattered wave by a dipole field. The LSW falls off only proportional to the scattering amplitude, inversely proportional to the distance due to the fact that the plane wave has constant amplitude. We note that one would expect for a single radiating dipole that the field falls off inversely proportional to the distance squared but not in the case where the scattered field overlaps with the incident plane field. Nanometer sized objects can be detected though the LSW at relative large distance from the surface (6,7). We consider in the following only the propagating field component of a single dipole wave whose amplitude falls off at a rate inversely proportional to the distance from the object and we neglect the quasi-electrostatic longitudinal component." @default.
• W2186933672 created "2016-06-24" @default.
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• W2186933672 date "2005-05-08" @default.
• W2186933672 modified "2023-10-04" @default.
• W2186933672 title "Optical surface diffraction and improved lateral resolution" @default.
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