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Further estimates of the input limits of x-ray generators
Author(s) -
Alex F. Muller
Publication year - 1931
Publication title -
proceedings of the royal society of london series a containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1931.0123
Subject(s) - focus (optics) , plane (geometry) , line (geometry) , physics , surface (topology) , constant (computer programming) , geometry , point (geometry) , zero (linguistics) , mathematics , optics , computer science , linguistics , philosophy , programming language
The object of this paper is to complete the previous notes on the input limits of X-ray generators. It deals essentially with the “line focus” on a moving and on a stationary target. Energy Density in the Focus . The target is assumed to be a large mass of metal with an infinite plane surface. The small area which is bombarded by the rays is called the focus. The temperature gradient normal to the plane surface is zero at any point in this surface with the exception of the focus. The other boundaries of the target are at distances which are large compared with the focus dimensions. It is owing to this assumption that the target dimensions do not enter into the expressions for the maximum input. The remote boundaries are kept at a constant temperature “To” The energy inflow at the focus is assumed be k . ∂T/∂z = W/π . ln 2/δ1.δ2 . exp( ─ ln 2[ x 2/δ21 + y 2/δ22]).

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