Heteronuclear molecules in an optical lattice: Theory and experiment

2008 ◽  
Vol 77 (3) ◽  
Author(s):  
F. Deuretzbacher ◽  
K. Plassmeier ◽  
D. Pfannkuche ◽  
F. Werner ◽  
C. Ospelkaus ◽  
...  
2015 ◽  
Vol 112 (16) ◽  
pp. 4930-4934 ◽  
Author(s):  
Tiemo Bückmann ◽  
Muamer Kadic ◽  
Robert Schittny ◽  
Martin Wegener

Spatial coordinate transformations have helped simplifying mathematical issues and solving complex boundary-value problems in physics for decades already. More recently, material-parameter transformations have also become an intuitive and powerful engineering tool for designing inhomogeneous and anisotropic material distributions that perform wanted functions, e.g., invisibility cloaking. A necessary mathematical prerequisite for this approach to work is that the underlying equations are form invariant with respect to general coordinate transformations. Unfortunately, this condition is not fulfilled in elastic–solid mechanics for materials that can be described by ordinary elasticity tensors. Here, we introduce a different and simpler approach. We directly transform the lattice points of a 2D discrete lattice composed of a single constituent material, while keeping the properties of the elements connecting the lattice points the same. After showing that the approach works in various areas, we focus on elastic–solid mechanics. As a demanding example, we cloak a void in an effective elastic material with respect to static uniaxial compression. Corresponding numerical calculations and experiments on polymer structures made by 3D printing are presented. The cloaking quality is quantified by comparing the average relative SD of the strain vectors outside of the cloaked void with respect to the homogeneous reference lattice. Theory and experiment agree and exhibit very good cloaking performance.


2019 ◽  
Vol 100 (6) ◽  
Author(s):  
M. I. Molina ◽  
L. Q. English ◽  
Ming-Hua Chang ◽  
P. G. Kevrekidis

2006 ◽  
Vol 97 (12) ◽  
Author(s):  
C. Ospelkaus ◽  
S. Ospelkaus ◽  
L. Humbert ◽  
P. Ernst ◽  
K. Sengstock ◽  
...  

Author(s):  
Gertrude F. Rempfer

I became involved in electron optics in early 1945, when my husband Robert and I were hired by the Farrand Optical Company. My husband had a mathematics Ph.D.; my degree was in physics. My main responsibilities were connected with the development of an electrostatic electron microscope. Fortunately, my thesis research on thermionic and field emission, in the late 1930s under the direction of Professor Joseph E. Henderson at the University of Washington, provided a foundation for dealing with electron beams, high vacuum, and high voltage.At the Farrand Company my co-workers and I used an electron-optical bench to carry out an extensive series of tests on three-electrode electrostatic lenses, as a function of geometrical and voltage parameters. Our studies enabled us to select optimum designs for the lenses in the electron microscope. We early on discovered that, in general, electron lenses are not “thin” lenses, and that aberrations of focal point and aberrations of focal length are not the same. I found electron optics to be an intriguing blend of theory and experiment. A laboratory version of the electron microscope was built and tested, and a report was given at the December 1947 EMSA meeting. The micrograph in fig. 1 is one of several which were presented at the meeting. This micrograph also appeared on the cover of the January 1949 issue of Journal of Applied Physics. These were exciting times in electron microscopy; it seemed that almost everything that happened was new. Our opportunities to publish were limited to patents because Mr. Farrand envisaged a commercial instrument. Regrettably, a commercial version of our laboratory microscope was not produced.


1997 ◽  
Vol 44 (10) ◽  
pp. 1853-1862
Author(s):  
A. GORLITZ , T. HANSCH and A. HEMMERIC

1978 ◽  
Vol 39 (12) ◽  
pp. 1355-1363 ◽  
Author(s):  
L.G. Caron ◽  
M. Miljak ◽  
D. Jerome

1986 ◽  
Vol 150 (10) ◽  
pp. 321
Author(s):  
V.L. Dunin-Barkovskii

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