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Direct solution to the inverse scattering problem for surfaces from near-field intensities without phase retrieval.

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TLDR
A solution to the problem pertaining to the reconstruction of the profile of an interface separating two media of different refractive index is demonstrated using near-field scattered intensity measurements, achieved by integration of the intensities of the scattered near fields over several angles of incidence.
Abstract
We demonstrate a solution to the problem pertaining to the reconstruction of the profile of an interface separating two media of different refractive index, using near-field scattered intensity measurements. This is achieved by integration of the intensities of the scattered near fields over several angles of incidence, hence producing an effective incoherent source on the surface.

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Citations
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Journal ArticleDOI

Near-field optics theories

TL;DR: In this paper, the development of near-field optics theory is reviewed and the main results of the application of various practical schemes which all rely on a numerical procedure are discussed from the point of view of their ability to assess evanescent electromagnetic waves.
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Image formation in near-field optics

TL;DR: In this paper, an overview of the image formation theory in near-field optical microscopy is presented, where the emphasis is placed on the basic concepts and the understanding of the images.
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Zero permittivity materials: Band gaps at the visible

TL;DR: In this article, the authors theoretically discuss the possibility of having materials with zero effective permittivity that would create band gaps in a wide range of frequencies up to the visible, and show that the cutoff frequency ωc is determined by the lattice parameter of the composite.
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Inverse scattering for near-field microscopy

TL;DR: In this paper, the analytic singular value decomposition of the linearized scattering operator for scalar waves is derived and a robust inversion formula for the inverse scattering problem in the near zone is given.
References
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Journal ArticleDOI

Optical stethoscopy: Image recording with resolution λ/20

TL;DR: In this paper, an extremely narrow aperture along a test object equipped with fine-line structures was used to demonstrate a resolving power of at least λ/20 which is to be compared with the values of λ 2.3 obtainable in conventional optical microscopy.
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Three-dimensional structure determination of semi-transparent objects from holographic data

TL;DR: In this article, a solution to an inverse scattering problem that arises in the application of holography to the determination of the three-dimensional structure of weakly scattering semi-transparent objects is presented.
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Microscopy by reconstructed wave-fronts

TL;DR: In this paper, it is shown that a coherent monochromatic wave can be used to reconstruct the original image of an object from its mirror image with respect to the coherent background.
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Phase retrieval in crystallography and optics

TL;DR: In this paper, the principles of phase retrieval in crystallography are outlined and compared and contrasted with phase retrieval for general imaging, and the emphasis is on phase-retrieval algorithms and areas in which results in one discipline have, and may, contribute to the other.
Journal ArticleDOI

On the Rayleigh assumption in scattering by a periodic surface. II

TL;DR: In this article, the authors re-examined the Rayleigh assumption, which concerns the domain of validity of a representation for the field scattered by a periodic surface under time-harmonic plane-wave excitation.
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