Name
Title | ||
|---|---|---|
Noninvasive Imaging of Three-Dimensional Micro and Nanostructures by Topological Methods. |
Abstract | ||
|---|---|---|
We present topological derivative and energy based procedures for the imaging of micro and nano structures using one beam of visible light of a single wavelength. Objects with diameters as small as 10 nm can be located and their position tracked with nanometer precision. Multiple objects distributed either on planes perpendicular to the incidence direction or along axial lines in the incidence direction are distinguishable. More precisely, the shape and size of plane sections perpendicular to the incidence direction can be clearly determined, even for asymmetric and nonconvex scatterers. Axial resolution improves as the size of the objects decreases. Initial reconstructions may proceed by gluing together two-dimensional horizontal slices between axial peaks or by locating objects at three-dimensional peaks of topological energies, depending on the effective wavenumber. Below a threshold size, topological derivative based iterative schemes improve initial predictions of the location, size, and shape of obj... |
Year | Venue | Field |
|---|---|---|
2016 | SIAM J. Imaging Sciences | Topology,Holography,Perpendicular,Topological derivative,Wavenumber,Beam (structure),Geometry,Wavelength,Mathematics,Nanostructure,Inverse scattering problem |
DocType | Volume | Issue |
Journal | 9 | 3 |
Citations | PageRank | References |
1 | 0.48 | 2 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ana Carpio | 1 | 1 | 0.48 |
| Thomas G. Dimiduk | 2 | 1 | 0.48 |
| María-Luisa Rapún | 3 | 27 | 5.76 |
| Virginia Selgás | 4 | 3 | 1.73 |