Schotland, John C
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Publication Computational Lens for the Near Field(2004-04-23) Carney, P. Scott; Frazin, Richard A; Bozhevolnyi, Sergey I; Volkov, Valentyn S; Boltasseva, Alexandra; Schotland, John CA method is presented to reconstruct the structure of a scattering object from data acquired with a photon scanning tunneling microscope. The data may be understood to form a Gabor type near-field hologram and are obtained at a distance from the sample where the field is defocused and normally uninterpretable. Object structure is obtained by the solution of the inverse scattering problem within the accuracy of a perturbative, two-dimensional model of the object.Publication Classical Theory of Optical Nonlinearity in Conducting Nanoparticles(2008-02-01) Panasyuk, George Y; Schotland, John C; Markel, Vadim A.We develop a classical theory of electron confinement in conducting nanoparticles. The theory is used to compute the nonlinear optical response of the nanoparticle to a harmonic external field.Publication Inverse Scattering and Acousto-Optic Imaging(2010-01-28) Bal, Giullaume; Schotland, John CWe propose a tomographic method to reconstruct the optical properties of a highly scattering medium from incoherent acousto-optic measurements. The method is based on the solution to an inverse problem for the diffusion equation and makes use of the principle of interior control of boundary measurements by an external wave field.Publication Quantum Imaging and Inverse Scattering(2010-10-07) Schotland, John CWe consider the inverse scattering problem that arises in two-photon quantum imaging with interferometric measurements. We show that the two-point correlation function of the field contains information about the scattering medium at a spatial frequency of twice the Rayleigh bandwidth. The linearized inverse problem, however, yields reconstructions with a resolution of λ=2, where λ is the wavelength of light.Publication Phaseless Three-Dimensional Optical Nanoimaging(2009-11-16) Govyadinov, Alexander A.; Panasyuk, George Y; Schotland, John CWe propose a method for optical nanoimaging in which the structure of a three-dimensional inhomogeneous medium may be recovered from far-field power measurements. Neither phase control of the illuminating field nor phase measurements of the scattered field are necessary. The method is based on the solution to the inverse scattering problem for a system consisting of a weakly-scattering dielectric sample and a strongly-scattering nanoparticle tip. Numerical simulations are used to illustrate the results.Publication Generalized optical theorem for reflection, transmission, and extinction of power for scalar fields(2004-09-22) Carney, P. Scott; Schotland, John C; Wolf, EmilWe present a derivation of the optical theorem that makes it possible to obtain expressions for the extinguished power in a very general class of problems not previously treated. The results are applied to the analysis of the extinction of power by a scatterer in the presence of a lossless half space. Applications to microscopy and tomography are discussed.Publication Generalized optical theorem for reflection, transmission, and extinction of power for electromagnetic fields(2005-05-01) Lytle II, D. R; Carney, P. Scott; Schotland, John C; Wolf, EmilWe present a generalization of the optical theorem for electromagnetic fields. This result is used to obtain the power extinguished from a field by a scatterer contained in a dielectric half space. Applications to microscopy and tomography are described.Publication Geometrical optics limit of stochastic electromagnetic fields(2008-04-01) Schoonover, Robert W; Zysk, Adam M; Carney, P. Scott; Schotland, John C; Wolfe, EmilA method is described which elucidates propagation of an electromagnetic field generated by a stochastic, electromagnetic source within the short wavelength limit. The results can be used to determine statistical properties of fields using ray tracing methods.Publication Strong Tip Effects in Near-field Scanning Optical Tomography(2007-11-15) Sun, Jin; Carney, P. Scott; Schotland, John CA model for the interaction of the scanning probe in near-field scanning optical microscopy is presented. Multiple scattering of the illuminating field with the probe is taken into account. The implications of this so-called strong tip model for the solution of the associated inverse scattering problem are studied through simulations.Publication Near-Field Scanning Optical Tomography: A Nondestructive Method for Three-Dimensional Nanoscale Imaging(2006-12-01) Sun, Jin; Carney, P. Scott; Schotland, John CWe present the theoretical foundation for near-field scanning optical tomography, a method for three-dimensional optical imaging with subwavelength resolution. An analysis of the forward problem for both scalar and vector optical fields is described. This is followed by the construction of the pseudoinverse solution to the linearized inverse scattering problem. The results are illustrated by numerical simulations.