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电子三角学是估算电子光学系统成象的新方法。这个电子光学系统可由一个或多个有限长的透镜组成,包括静电透镜、磁透镜或混合透镜。电子三角学不是确定轨迹和主点,而是直接给出电子象的大小和位置。用电子三角学分析静电系统,是以电压线性或抛物线线段来逼近已知的轴电位分布。各段的连接要使函数和斜率连续。线性部分用长度经过适当换算的等效漂移管来代替。各抛物线部分应遵循一定的有关三个电子渡越相位角之和的基本三角法则。这些渡越相位角是对物、象和透镜区特殊定义的。从这些相同相位角立刻可知电子成象的放大率和位置。它对成实象、成虚象以及正负两种极性的透镜都适用。包括磁透镜的系统用相似的方法处理,把这样的场再分段。当轴电位是线性或抛物线时,每段的磁场由它的平均值代替。作为试验,把电子三角学应用于熟知的双圆筒双电位透镜。这是一个轴电位分布复杂的双透镜系统。由电子三角学得到的结果与已知的性能数据相当吻合。电子三角学的另一种应用是用于计算有偏转后加速的阴极射线管的角放大率。这种分析的结果得到一种新型的扫描稳定的结构。它用一个非均匀的螺旋内衬的外壳,以实现一个大的发散透镜。在这种扫描稳定的结构中,电子束基本上是直线运动,这就导致了很高的偏转灵敏度(3.2伏/厘米·千伏)。该值在很宽的屏电压范围内2-20千伏)都不改变。
Electron trigonometry is a new method to estimate the imaging of electron optical systems. This electronic optical system may consist of one or more lenses of finite length, including electrostatic lenses, magnetic lenses, or hybrid lenses. Electronic trigonometry is not to determine the trajectory and the main point, but directly gives the size and location of the electronic image. Electron trigonometry analysis of electrostatic systems, voltage linear or parabolic line to approximate the known axis potential distribution. The connection of each segment is to make the function and slope continuous. The linear part is replaced by an equivalent drift tube of appropriate length. Each parabolic portion should follow a basic triangular law about the sum of the three electron transit phase angles. These transitional phase angles are specifically defined for objects, lenses, and lenses. From these same phase angles, the magnification and position of the electron image are immediately known. It is true, into a virtual image and the two positive and negative lens are applicable. Systems including magnetic lenses are handled in a similar manner, with such fields re-staging. When the shaft potential is linear or parabolic, the magnetic field of each segment is replaced by its average value. As a test, electron trigonometry is applied to the well-known double-cylinder bi-potential lens. This is a two-lens system with a complex distribution of axis potentials. The results obtained by electronic trigonometry are in good agreement with the known performance data. Another application of electronic trigonometry is to calculate the angular magnification of a cathode ray tube accelerated after deflection. The result of this analysis leads to a new type of scanning stable structure. It uses a non-uniform spiral-lined housing to achieve a large divergent lens. In this scanning-stable structure, the electron beam is essentially linear, resulting in high deflection sensitivity (3.2 volts / cm-kilovolt). This value is in the wide screen voltage range of 2-20 kV) are not changed.