渐变磁场下回旋振荡管工作参量的最优化

本文利用最优控制理论研究了渐变磁场下回旋振荡管工作参量及效率的最优化问题.详细推导了回旋振荡管中电子与波互作用的状态方程及其相应的目标泛函、共轭方程和泛函梯度——它们构成了一个完整的最优控制问题.用Goldfarb方法对此最优化问题进行求解,得到大量的优化数据,可用于回族振荡管的工程设计.文中对理论分析结果进行了讨论.

OPTIMIZATION OF OPERATING PARAMETERS OF GYROMONOTRON WITH A SLOWLY VARYING MAGNETIC FIELD

An optimization program for the operating parameters and efficiency of gyrom-onotron based on the optimum control theory has been discussed in this paper. In this program we employ the orbit theory of gyromonotron and adopt a slowly varying static magnetic field to enhance the interaction efficiency. An integrated optimum control problem comprising the state equations, the conjugate equations, the objective functional and the functional gradient is worked on in detail in a slowly time-varying coordinate system. The above optimization problem is numerically solved using Goldfarb's method (BQFS method) for fixed parameters V₀ (beam voltage) and a (ratio of initial transverse velocity to parallel velocity) to obtain the optimum operation parameters A, N_λ, μ, b₁, b₂, and optimum interaction efficiency η_e. Then the product of QI can be calculated. A large number of optimized data which can be used in design of gyromonotron are provided and some remarks on this theoretical analysis are given.