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31.
32.
Yau Y. Hung 《Optics Communications》1974,11(2):132-135
A speckle-shearing interferometer is developed using a sheared Michelson interferometer. The tool, like speckle interferometry, utilizes the speckle effect of coherent light. However, while speckle interferometry measures surface displacements, the speckle-shearing interferometer determines the derivatives of the surface displacements. Hence, it eliminates the necessity of differentiating the measured displacements to obtain strain. 相似文献
33.
Bruno?NachtergaeleEmail author Horng-Tzer?Yau 《Communications in Mathematical Physics》2003,243(3):485-540
We derive the Euler equations from quantum dynamics for a class of fermionic many-body systems. We make two types of assumptions. The first type are physical assumptions on the solution of the Euler equations for the given initial data. The second type are a number of reasonable conjectures on the statistical mechanics and dynamics of the Fermion Hamiltonian.©2003 B. Nachtergaele and H.-T. Yau. This article may be reproduced in its entirety for non-commercial purposes.Research partially supported by NSF # DMS-0070774.Research partially supported by NSF # DMS-0072098, the Veblen Fund from the Institute for Advanced Study and a Fellowship from the MacArthur Foundation. 相似文献
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Amphoteric refraction of light ray at the interface between isotropic materials and anisotropic materials is analyzed. Depending on the incident angle, the refractive light ray can either refract positively or negatively. This amphoteric refraction phenomenon can be quite prevalent when the difference of the two principal refractive indices is large. The reflectance under various incident angles has also been calculated, and an experimental demonstration with a calcite crystal in air is presented. 相似文献
36.
László Erdős Sandrine Péché José A. Ramírez Benjamin Schlein Horng‐Tzer Yau 《纯数学与应用数学通讯》2010,63(7):895-925
We consider N × N Hermitian Wigner random matrices H where the probability density for each matrix element is given by the density ν(x) = e?U(x). We prove that the eigenvalue statistics in the bulk are given by the Dyson sine kernel provided that U ∈ C6( \input amssym $\Bbb R$ ) with at most polynomially growing derivatives and ν(x) ≥ Ce?C|x| for x large. The proof is based upon an approximate time reversal of the Dyson Brownian motion combined with the convergence of the eigenvalue density to the Wigner semicircle law on short scales. © 2010 Wiley Periodicals, Inc. 相似文献
37.
C.C. Chang Y.P. Tong T.C. Chen H.F. Yau P.X. Ye 《Applied physics. B, Lasers and optics》2000,71(1):47-50
A pentagon-shaped undoped BaTiO3 crystal was used to construct a high-quality mutually pumped phase conjugator. It yields two very stable phase-conjugate outputs (ǃ.7% fluctuation in intensity) with high reflectivity (the highest ᅝ%) when the two incident beams are of equal intensities. The response time of the conjugator is rather fast (ƻ s) and the tolerance of the acceptance angle is large too (걄°). Fine structures (35 7m) in an image, after passing through a phase aberrator, can be recovered by the conjugate waves yielded by this conjugator. 相似文献
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Computational conformal geometry is an inter-disciplinary field between mathematics and computer science. This work introduces
the fundamentals of computational conformal geometry, including theoretic foundation, computational algorithms, and engineering
applications. Two computational methodologies are emphasized, one is the holomorphic differentials based on Riemann surface
theory and the other is surface Ricci flow from geometric analysis. 相似文献
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