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The purpose of this program was the establishment of a computer program for optimizing the design of high power crossed-field amplifiers (C.F.A.'s). The basic tasks of this study were to: (1) Critically evaluate the predictive value of existing large signal Crossed-Field Amplifiers theories or computer codes, and improve their quantitative performance by revision of assumptions and physical concepts as emerging from the comparison between experimental and theoretical results. (2) Investigate the electron flow in the crossed-field gridded gun and resultant non-homogeneities. (3) Examine the electron flow (for the cold electron case) in the crossed-field gun, analytically and/or by numerical computations to achieve self consistency for the solutions of the dynamic and the field equations. (4) Compare theoretical results with actual data as obtained from experiments with gridded crossed-field guns and so assess the value of theoretical achievements. Incorporate for this purpose the functional dependence of the gun performance on various parameters which may be subject to variations in actual tube production and/or operation.