Capacitance and Equivalent Area of a Hollow Single Gap Prolate/Oblate Spheroidal Electromagnetic Pulse Sensor

摘要

Electromagnetic sensors of various geometric configurations are used to measure the nuclear electromagnetic pulse. Certain design parameters exist for these sensors and are so related that if any two are known, the others are also known. For dipole sensors, the two most readily calculable parameters are capacitance and equivalent area. The capacitance and equivalent area are calculated for both prolate and oblate hollow single-gap dipole sensors for various ranges of eccentricity and gap-size. The method used is a finite difference scheme in matrix form which solves Laplace's equation in spheroidal coordinates with mixed boundary conditions. The computations are performed on a CDC 6600 digital computer, and a sequence-to-sequence limiting procedure is used to improve the accuracy of the solution. The results are presented in graphical form and the validity of the method is discussed. Recommendations are made for improving the method. (Author)