Proceedings PaperThe Generalized Electron-Optical Spread Functions And Their Application For The Image-Intensifier System
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The classical, idealized spread functions are defined as the probability density functions. In the case of image intensifier such a concept disregards the fact that in any real electron-optical system, the PSF is detected not as a density of probability but as an average value of this function in a neighborhood of a given point. This may be connected with the structure of the microchannel plate or with the granulation of the phosphor on the screen. Similarly, the use of the ray-tracing method and the endpoint counting procedure for the numerical calculation of the spread functions, results in the evaluation of the locally averaged values. According to that, the aim of this paper is introducing the new generalized formulas for real spread functions. This paper contains both the analytical and numerical formulaS for the spread functions in the general case of the aberrated spot diagram. A new concept of the three-dimensional (3-D) point spread function (PSF) is presented using the same mathematical formalism. The physical illustration of this concept is shown with reference to the statistical-image-surface (SIS). The proposed formulas may be also simply used as a basis for the calculation of the spread functions for the case of the polychromatic illumination.