scholarly journals Distribution of the complex amplitude and intensity in a 3D scattering pattern formed by the optical system for an on-axis point object

2018 ◽  
Vol 42 (3) ◽  
pp. 377-384 ◽  
Author(s):  
S. N. Koreshev ◽  
D. S. Smorodinov ◽  
O. V. Nikanorov ◽  
M. A. Frolova

A quantitative evaluation of the depth of field of optical systems is given. Results of the calculation of the distribution of the complex amplitude and intensity in a three-dimensional scattering pattern formed by the optical system for an on-axis point object are presented. The work was carried out as part of developing optical systems with an extended depth of field for a synthesized hologram of a point object located on a perpendicular constructed to the hologram center.

Author(s):  
J T Fourie

The attempts at improvement of electron optical systems to date, have largely been directed towards the design aspect of magnetic lenses and towards the establishment of ideal lens combinations. In the present work the emphasis has been placed on the utilization of a unique three-dimensional crystal objective aperture within a standard electron optical system with the aim to reduce the spherical aberration without introducing diffraction effects. A brief summary of this work together with a description of results obtained recently, will be given.The concept of utilizing a crystal as aperture in an electron optical system was introduced by Fourie who employed a {111} crystal foil as a collector aperture, by mounting the sample directly on top of the foil and in intimate contact with the foil. In the present work the sample was mounted on the bottom of the foil so that the crystal would function as an objective or probe forming aperture. The transmission function of such a crystal aperture depends on the thickness, t, and the orientation of the foil. The expression for calculating the transmission function was derived by Hashimoto, Howie and Whelan on the basis of the electron equivalent of the Borrmann anomalous absorption effect in crystals. In Fig. 1 the functions for a g220 diffraction vector and t = 0.53 and 1.0 μm are shown. Here n= Θ‒ΘB, where Θ is the angle between the incident ray and the (hkl) planes, and ΘB is the Bragg angle.


2010 ◽  
Vol 2 (4) ◽  
Author(s):  
Jorge Ojeda-Castaneda ◽  
E. Yepez-Vidal ◽  
E. Garcia-Almanza

2006 ◽  
Vol 45 (34) ◽  
pp. 8586 ◽  
Author(s):  
Qingguo Yang ◽  
Liren Liu ◽  
Jianfeng Sun ◽  
Yongjian Zhu ◽  
Wei Lu

2015 ◽  
Vol 23 (2) ◽  
pp. 787 ◽  
Author(s):  
Heng Li ◽  
Danni Chen ◽  
Gaixia Xu ◽  
Bin Yu ◽  
Hanben Niu

1999 ◽  
Vol 24 (4) ◽  
pp. 253 ◽  
Author(s):  
Daniel L. Marks ◽  
Ronald A. Stack ◽  
David J. Brady ◽  
Joseph van der Gracht

2014 ◽  
Vol 40 (1) ◽  
pp. 29-40 ◽  
Author(s):  
L.M. Ledesma-Carrillo ◽  
M. Lopez-Ramirez ◽  
C.A. Rivera-Romero ◽  
A. Garcia-Perez ◽  
G. Botella ◽  
...  

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