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We will talk about our recent results on the convexity, uniqueness, and stability of regular reflection solutions for the potential flow equation in a natural class of self-similar solutions. The appr...
This conference will bring together the theory, modeling, measurement and applications for the reflection, scattering and diffraction of electromagnetic waves from the far ultraviolet through the far ...
The Rayleigh-Rice relationship explains roughness scattering from optically smooth surfaces. The 揾oly grail?of roughness-induced scatter is a relationship good for any roughness level. An intuitive re...
Absorption and electro-absorption (Stark effect) spectra of polycrystalline and lyophillized samples of pheophorbides and bacteriopheophorbides have been measured in order to obtain information on the...
This paper considers the question of recovering the phase of an object from intensity-only measurements, a problem which naturally appears in X-ray crystallography and related disciplines. We study a ...
We tested laser diffraction particle size analysis in poorly coherent carbonate platform cataclastic breccias and unfaulted quartz-rich eolian sands, representing low- and high-strength granular mater...
A model including two nonlinear chains with linear and nonlinear couplings between them, and opposite signs of the discrete diffraction inside the chains, is introduced. In the case of the cubic [ χ(3...
Many photonic structures, including waveguides, lenses, and photonic bandgap materials, benefi t greatly from the large index contrast provided by such media.
We establish a link between Fourier optics and a recent construction from the machine learning community termed the kernel mean map. Using the Fraunhofer approximation, it identifies the kernel with t...
The effects of low-temperature on the crystal structure of a natural epidote [Ca1.925 Fe0.745Al2.265Ti0.004Si3.037O12(OH), a=8.8924(7), b=5.6214(3), c=10.1547(6)Å and β= 115.396(8)° at room condi...
Diffraction methods are used to detect atomic order in solids. While uniquely ergodic systems with pure point diffraction have zero entropy, the relation between diffraction and entropy is not as stra...
When an electromagnetic wave is obliquely incident on the interface between two homogeneous media with different refractive indices, the requirement of phase continuity across the interface generally ...
The short and intense pulses of the new X-ray free electron lasers, now operational or under construction, may make possible diffraction experiments on single molecule-sized objects with high resoluti...
In this paper we show that for metrics with conormal singularities that correspond to class C^{1,\alpha} with \alpha>0, the reflected wave is more regular than the incident wave in a Sobolev sense. Th...
A single-beam interference-lithography scheme is demonstrated for the fabrication of large-area slant gratings, which requires exposure of the photoresist thin film spin-coated on a glass plate with p...

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