Analytical Transmission Electron Microscopy by Jürgen Thomas & Thomas Gemming

Author:Jürgen Thomas & Thomas Gemming
Language: eng
Format: epub
Publisher: Springer Netherlands, Dordrecht

We recognise the inverse proportionality: the larger the periodic length of the brightness modulation the smaller the distance between the brightness maxima in the Fourier transform is.

Let us transfer this method to a (two-dimensional) picture. The picture should have N x pixels horizontally and N y pixels vertically. The pixel brightness at position (x, y) is I(x, y). Then, the brightness of the pixel (q x, q y) in the Fourier transformed image can be calculated by

(7.25)

q x and q y are space frequencies, i.e. reciprocal lengths. Instead of the cosine the sine function can also be used as well as a combination of both in form of a complex function

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