Free Particles Incident on Potentials, Time Delay, Phase Shifts and the Born Approximation

1987 ◽  
pp. 64-82
Author(s):  
Harry A. Mavromatis
Keyword(s):  
Time Delay ◽  
Born Approximation ◽  
Phase Shifts ◽  
Free Particles

Some extensions of the born approximation for phase shifts

1963 ◽  
Vol 28 (2) ◽  
pp. 229-239 ◽  
Author(s):  
R. F. Dashen
Keyword(s):  
Born Approximation ◽  
Phase Shifts

Optically controlled generation and true-time-delay phase-shifts of broad-band 60-GHz signals

1993 ◽  
Vol 3 (2) ◽  
pp. 42-44 ◽  
Author(s):  
S.-L.L. Huang ◽  
C.H. Lee ◽  
H.-L.A. Hung
Keyword(s):  
Time Delay ◽  
Broad Band ◽  
Phase Shifts ◽  
60 Ghz ◽  
True Time Delay ◽  
True Time

A modified Born approximation for singular potentials

1970 ◽  
Vol 48 (5) ◽  
pp. 511-512
Author(s):  
Byung Chan Eu
Keyword(s):  
Cross Sections ◽  
Born Approximation ◽  
Phase Shifts ◽  
Phase Method ◽  
Singular Potentials ◽  
Variable Phase ◽  
Scattering Cross ◽  
Lennard Jones ◽  
Variable Phase Method ◽  
Scattering Cross Sections

The variable-phase method is used to obtain nondiverging Born phase shifts for a singular (Lennard–Jones (12,6)) potential. An exemplary calculation is made for the parameters kσ = 18 and εσ2 = 125, and the agreement between the approximate and exact differential scattering cross sections is fairly good.

Dynamical Scattering in Crystalline Biological Specimens. I. Criteria of Validity for Scattering Approximations

1975 ◽  
Vol 33 ◽  
pp. 192-193
Author(s):  
Robert M. Glaeser ◽  
Bing K. Jap
Keyword(s):  
Biological Sciences ◽  
Electron Microscopy ◽  
Electron Microscope ◽  
Electron Diffraction ◽  
Born Approximation ◽  
Materials Science ◽  
Image Data ◽  
Dynamical Effect ◽  
Crystallographic Structure ◽  
Electron Microscope Image

The dynamical scattering effect, which can be described as the failure of the first Born approximation, is perhaps the most important factor that has prevented the widespread use of electron diffraction intensities for crystallographic structure determination. It would seem to be quite certain that dynamical effects will also interfere with structure analysis based upon electron microscope image data, whenever the dynamical effect seriously perturbs the diffracted wave. While it is normally taken for granted that the dynamical effect must be taken into consideration in materials science applications of electron microscopy, very little attention has been given to this problem in the biological sciences.

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