Certain matters concerning scaling in the magnetron with special reference to the relative efficiency of magnetrons of different sizes |
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| Authors: | WFG Swann |
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| Institution: | 1. Director, Bartol Research Foundation of The Franklin Institute, Swarthmore, Penna., U.S.A. |
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| Abstract: | The paper concerns the comparison of the behavior of two magnetron systems of different sizes, all apparatus from the input terminals of the magnetron to the final radiation antenna being contemplated in the picture. The mathematical comparison of the two systems assumes a specially simple form when the electrical conductivities of the corresponding parts of the systems in the two cases are adjusted to values in the inverse ratio of the scaling in linear dimensions. A scaling of this kind is therefore studied. The conclusions reached are as follows:For an assigned potential applied to the two models, the power input is the same, the power radiated from the antenna is the same, the power dissipated in Ohm's law heating in all parts is the same, and the power dissipated in back-bombardment or at the anode is the same.As a corollary to the foregoing, it is inferred that if the corresponding parts of the two models have the same electrical conductivity, then in so far as Ohm's law heating is an important factor at all, it is more important in the small model than in the large one. |
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