Short-wavelength asymptotics for the low Landau zones of the two-dimensional magnetic Schrödinger operator

Author(s):  
K.V. Pankrashkin ◽  
M.A. Poteryakhin
1994 ◽  
Vol 22 (9) ◽  
pp. 734-745
Author(s):  
Kou KUROSAWA ◽  
Masahito KATTO ◽  
Yasuo TAKIGAWA ◽  
Wataru SASAKI

2012 ◽  
Vol 523-524 ◽  
pp. 913-918 ◽  
Author(s):  
Xing Hui Li ◽  
Yuki Shimizu ◽  
Hiroshi Muto ◽  
So Ito ◽  
Wei Gao

A compact optical three-axis surface encoder, which can detect displacements in the XYZ-directions simultaneously by employing a scale grating with a short pitch (0.57 μm) and a single laser beam with a short wavelength (405 nm), is described in this paper. This surface encoder mainly consists of a blue-ray laser diode, a pair of two-dimensional diffractive gratings serving as scale grating and reference grating, respectively, and two quarter photodiodes (QPD) utilized for detecting output optical density. The displacements of the scale grating along X-, Y- and Z-directions are measured by analyzing interference signals caused by the phase shifts and light path difference of diffracted beams from the scale grating and reference grating. Basic measurement principle is illuminated, a compact surface encoder is designed and evaluation experiments are carried out.


2019 ◽  
Vol 881 ◽  
pp. 3-22 ◽  
Author(s):  
J. D. Crouch ◽  
A. Garbaruk ◽  
M. Strelets

Global stability analysis is used to analyse the onset of transonic buffet on infinite swept and unswept wings. This high-Reynolds-number flow is governed by the unsteady Reynolds averaged Navier–Stokes equations. The analysis generalizes earlier studies focused on two-dimensional airfoils. For the unswept wing, results show spanwise-periodic stationary modes in addition to the earlier-observed oscillatory mode. The oscillatory mode is nominally two-dimensional with a spanwise wavelength greater than ten wing chords. The stationary modes of instability exist over two bands of spanwise wavelengths centred around an intermediate wavelength of one wing chord, and around a short wavelength of one tenth of a wing chord. The intermediate-wavelength modes have a flow structure characteristic of airfoil buffeting modes, concentrated at the shock and in the shear layer downstream of the shock. The short-wavelength modes are only concentrated in the shear layer downstream of the shock. These stationary modes can lead to spanwise-periodic flow structures for the unswept wing. For the swept wing, these stationary modes become unsteady travelling modes and contribute to the more complex buffeting-flow structures observed on swept wings as compared with unswept wings. The spanwise-wavelength bands of the travelling modes translate to different frequencies, resulting in a broad-banded unsteady response for the swept wing. For a $30^{\circ }$ swept wing, the frequencies associated with the intermediate-wavelength modes are approximately 10 times higher than the swept-wing generalization of the long-wavelength oscillatory mode, and approximately 6 times higher than the long-wavelength mode for the unswept wing. These instability characteristics are in good agreement with experimental observations.


1996 ◽  
Vol 429 ◽  
Author(s):  
Marcel E. Lefrançois ◽  
David M. Camm ◽  
Brendon J. Hickson

AbstractTwo dimensional temperature measurements of patterned wafers are presented. The measurements are made using a commercially available CCD camera operating at λ=900nm, yielding a spatial resolution of 1 pixel per mm2 and a relative accuracy of ±0.25 °C. The emissivity is determined using a reflectivity measurement made possible by the unique properties of a short wavelength arc lamp RTP chamber. The use of this measurement system for closed loop control is discussed and the application to maintaining accurate time temperature profiles independent of emissivity is described.


1966 ◽  
Vol 24 ◽  
pp. 118-119
Author(s):  
Th. Schmidt-Kaler

I should like to give you a very condensed progress report on some spectrophotometric measurements of objective-prism spectra made in collaboration with H. Leicher at Bonn. The procedure used is almost completely automatic. The measurements are made with the help of a semi-automatic fully digitized registering microphotometer constructed by Hög-Hamburg. The reductions are carried out with the aid of a number of interconnected programmes written for the computer IBM 7090, beginning with the output of the photometer in the form of punched cards and ending with the printing-out of the final two-dimensional classifications.


1966 ◽  
Vol 24 ◽  
pp. 3-5
Author(s):  
W. W. Morgan

1. The definition of “normal” stars in spectral classification changes with time; at the time of the publication of theYerkes Spectral Atlasthe term “normal” was applied to stars whose spectra could be fitted smoothly into a two-dimensional array. Thus, at that time, weak-lined spectra (RR Lyrae and HD 140283) would have been considered peculiar. At the present time we would tend to classify such spectra as “normal”—in a more complicated classification scheme which would have a parameter varying with metallic-line intensity within a specific spectral subdivision.


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