A SYNTHESIS METHOD FOR CROSSED-FIELD ELECTRON GUNS.
Interim rept. no. 14,
CALIFORNIA UNIV BERKELEY ELECTRONICS RESEARCH LAB
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A general approximate method for the synthesis of crossed-field sheet beams and for the determination of electrodes to produce such beams is developed. The limitations of the method and its accuracy are discussed with reference to some problems of practical importance in microwave amplifiers. The problem of synthesizing an electron beam requires compromises among various competing factors hence it is desirable to work with approximate methods in which the effects of the various requirements may be studied and modifications may be made on these requirements. The first-order paraxial-ray equation is such an equation in which the important beam parameters are included in a simple mathematical description of the central trajectory of the beam. The approximation comes about in specifying the beam parameters on the nonaxial trajectories in terms of power-series expansions of their values on the axis and neglecting higher-order terms in beam thickness. This approximation is shown to be sufficiently accurate for thin beams. The numerical solutions for the beam parameters obtained from the paraxial-ray equation may be put in analytic form by using polynomical approximations, and analytic methods may be used for the determination of the electrodes to produce such beams. Author
- Electrical and Electronic Equipment