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Showing papers on "Contrast transfer function published in 1977"



Journal ArticleDOI
TL;DR: In this paper, the authors investigated the possibility of using phase changes induced in the electrons by the object and by microscope defocus to produce usable image contrast for polymer microstructure studies.
Abstract: A significant problem in studies of polymer microstructure is obtaining enough contrast in electron micrographs to visualize the system Most techniques now used take advantage of amplitude changes produced by the interaction of the electron beam with the object In this paper we investigate the possibility of using phase changes induced in the electrons by the object and by microscope defocus to produce usable image contrast We use the standard linear transfer theory of microscope imaging to evaluate the images produced by several different model objects The basic structure investigated is an alternating sequence of domains These models correspond reasonably closely to the suggested microstructure of several polymer systems and the calculations should be directly applicable to them Our calculations show that for reasonable inner potential changes and film thickness usable image contrast can be obtained The technique is most sensitive to rapid phase changes and will be most successful with objects having sharp rather than diffuse domain boundaries Defocusing produces fringes at the domain boundaries with the size of these fringes depending on both the object and the amount of defocus The results indicate that defocusing is useful for polymer structure investigations However, the defocused image will not correspond directly to the object structure, and some care must be taken in deducing the true object structure

12 citations


Journal ArticleDOI
01 Jan 1977-Micron
TL;DR: In this paper, the wave function of a single atom, consisting of the complex scattering amplitude and the phase shift due to spherical aberration, is rigorously obtained as a function of defocus by use of the Kirchhoff diffraction integral in the Fraunhofer approximation.

8 citations


Journal ArticleDOI
TL;DR: In this article, a simple geometrical analysis suggests that the contrast is an artifact caused by spherical aberration in the microscope objective lens, which is explained by weak phase approximation.
Abstract: Iijima (1975) obtained a series of electron microscope images of crystallographic shear planes (CSPs) in tungsten trioxide, some of which showed light and dark bands accompanying the defect having a periodicity of approximately 20 A. This oscillatory contrast was interpreted, using the weak phase approximation (Cowley and Iijima 1972), as resulting from small displacement of cations from their original positions. We have obtained electron micrographs of CSPs in magnesium-doped rutile which show oscillatory contrast similar to that observed by Iijima. A simple geometrical analysis suggests that the contrast is an artifact caused by spherical aberration in the microscope objective lens. The many-beam dynamical theory of electron diffraction and the method of periodic continuation were used to calculate the image of widely-spaced, unstrained CSPs. The computer-simulated images showed light and dark bands adjacent to the CSP and a similar variation in spacing for changing objective lens defocus as di...

4 citations


Journal ArticleDOI
TL;DR: Two concentric, coaxial solenoids form an intermediate ring image with a cusped caustic enabling momentum selection to be made where the transverse aberration is of third order in aperture as discussed by the authors.

2 citations