Study of the first Stokes line of Raman cell full of CH4, H2, D2 and their mixture with Ar,He gases

2005 ◽  
Author(s):  
Zongming Tao ◽  
Yinchao Zhang ◽  
Kaifa Cao ◽  
Shihua Yu ◽  
Xin Fang ◽  
...  
Keyword(s):  
1992 ◽  
Vol 45 (3) ◽  
pp. 1843-1846 ◽  
Author(s):  
Gautam Gangopadhyay ◽  
Deb Shankar Ray

1971 ◽  
pp. 265-272
Author(s):  
D. J. Antion ◽  
J. R. Durig

Author(s):  
John Heading

SynopsisA generalisation is considered of the potential barrier problem beyond the familiar case in which the barrier is bounded by transition points of order one. Here, the two transition points involved are of arbitrary odd order. The approximate method employed, though formal in character, avoids certain pitfalls often made in the past whereby certain exponentially small terms within the barrier are confounded with inherent error terms. This confusion is avoided in the treatment given here by tracing uniformly approximate solutions round the transition points in the complex plane by means of the Stokes phenomenon, the method not requiring the dubious concept of a subdominant term existing in the presence of a dominant term on a Stokes line. At the same time, the solutions to which the reflection and transmission coefficients may be attached are carefully discussed, so that the appearance of a small exponential term may be seen to be genuine when taken in conjunction with inherent error terms. The resulting formula for the modulus of the reflection coefficient generalizes the more elementary formula.


1999 ◽  
Author(s):  
Valentin Simeonov ◽  
Benoit Lazzarotto ◽  
Gilles Larcheveque ◽  
Philippe Quaglia ◽  
Bertrand Calpini
Keyword(s):  

Author(s):  
S. Jonathan Chapman ◽  
David B Mortimer

A singularly perturbed linear partial differential equation motivated by the geometrical model for crystal growth is considered. A steepest descent analysis of the Fourier transform solution identifies asymptotic contributions from saddle points, end points and poles, and the Stokes lines across which these may be switched on and off. These results are then derived directly from the equation by optimally truncating the naïve perturbation expansion and smoothing the Stokes discontinuities. The analysis reveals two new types of Stokes switching: a higher-order Stokes line which is a Stokes line in the approximation of the late terms of the asymptotic series, and which switches on or off Stokes lines themselves; and a second-generation Stokes line, in which a subdominant exponential switched on at a primary Stokes line is itself responsible for switching on another smaller exponential. The ‘new’ Stokes lines discussed by Berk et al . (Berk et al . 1982 J. Math. Phys. 23 , 988–1002) are second-generation Stokes lines, while the ‘vanishing’ Stokes lines discussed by Aoki et al . (Aoki et al . 1998 In Microlocal analysis and complex Fourier analysis (ed. K. F. T. Kawai), pp. 165–176) are switched off by a higher-order Stokes line.


1974 ◽  
Vol 28 (2) ◽  
pp. 194-195 ◽  
Author(s):  
Chris W. Brown ◽  
Alfred G. Hopkins ◽  
Francis P. Daly
Keyword(s):  

1993 ◽  
Vol 64 (7) ◽  
pp. 1994-1998 ◽  
Author(s):  
Donald A. Palmer ◽  
G. M. Begun ◽  
F. H. Ward

Author(s):  
Dietmar Vogel ◽  
Astrid Gollhardt ◽  
Bernd Michel

Three different methods of stress measurement with strong spatial resolution are presented. They base on stress relief techniques caused by focused ion beam milling, on altered electron backscattering by deformed lattices and on Stokes line shift measurements by Raman spectroscopy. The capability of these methods is demonstrated by their application to typical MEMS structures. A comparison between the methods is performed in order to outline potentials and limitations.


2018 ◽  
Vol 176 ◽  
pp. 05025 ◽  
Author(s):  
Michail Mytilinaios ◽  
Alexandros Papayannis ◽  
Georgios Tsaknakis

A compact ozone differential absorption lidar (DIAL) was implemented at the Laboratory of Laser Remote Sensing of the National Technical University of Athens (NTUA), in Athens, Greece. The DIAL system is based on a Nd:YAG laser emitting at 266 nm. A high-pressure Raman cell, filled with D2, was used to generate the λON and λOFF laser wavelength pairs (i.e., 266-289 nm and 289-316 nm, respectively) based on the Stimulated Raman Scattering (SRS) effect. The system was run during daytime and nighttime conditions to obtain the vertical profile of tropospheric ozone in the Planetary Boundary Layer (PBL) and the adjacent free troposphere.


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