The Second-Order Analytic Approximation to the Solution of the Euler-Hill Equations of Relative Motion

Author(s):  
Jean Albert Kéchichian
2006 ◽  
Vol 97 (2) ◽  
pp. 101-129 ◽  
Author(s):  
Prasenjit Sengupta ◽  
Srinivas R. Vadali ◽  
Kyle T. Alfriend

2003 ◽  
Vol 26 (1) ◽  
pp. 41-49 ◽  
Author(s):  
Christopher D. Karlgaard ◽  
Frederick H. Lutze

1999 ◽  
Vol 13 (05n06) ◽  
pp. 559-567
Author(s):  
W. H. DICKHOFF

The scattering process of nucleons in nuclear matter is studied. After a review of the conventional asymptotic analysis of the two-body propagator in coordinate space, the modifications of this analysis due to the dressing of the scattering nucleons is developed. While the scattering energy singles out a unique (on-shell) momentum in the relative wave function of free or mean-field nucleons, this uniqueness is lost for dressed nucleons. The resulting distribution of momenta in the corresponding relative wave function leads to a localization in coordinate space of the influence of the scattering process on the relative motion of nucleons. An analytic approximation to the noninteracting propagator of the dressed nucleons is utilized to illustrate these points. As a consequence of the localization the scattered wave is damped and the particles no longer remember their scattering event beyond some finite distance.


Author(s):  
W. L. Bell

Disappearance voltages for second order reflections can be determined experimentally in a variety of ways. The more subjective methods, such as Kikuchi line disappearance and bend contour imaging, involve comparing a series of diffraction patterns or micrographs taken at intervals throughout the disappearance range and selecting that voltage which gives the strongest disappearance effect. The estimated accuracies of these methods are both to within 10 kV, or about 2-4%, of the true disappearance voltage, which is quite sufficient for using these voltages in further calculations. However, it is the necessity of determining this information by comparisons of exposed plates rather than while operating the microscope that detracts from the immediate usefulness of these methods if there is reason to perform experiments at an unknown disappearance voltage.The convergent beam technique for determining the disappearance voltage has been found to be a highly objective method when it is applicable, i.e. when reasonable crystal perfection exists and an area of uniform thickness can be found. The criterion for determining this voltage is that the central maximum disappear from the rocking curve for the second order spot.


Author(s):  
Bridget Carragher ◽  
David A. Bluemke ◽  
Michael J. Potel ◽  
Robert Josephs

We have investigated the feasibility of restoring blurred electron micrographs. Two related problems have been considered; the restoration of images blurred as a result of relative motion between the specimen and the image plane, and the restoration of images which are rotationally blurred about an axis. Micrographs taken while the specimen is drifting result in images which are blurred in the direction of motion. An example of rotational blurring arises in micrographs of thin sections of helical particles viewed in cross section. The twist of the particle within the finite thickness of the section causes the image to appear rotationally blurred about the helical axis. As a result, structural details, particularly at large distances from the helical axis, will be obscured.


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