Accession Number:

AD0270865

Title:

ON ELECTRODE DESIGN FOR AXIALLY SYMMETRIC ELECTRON GUNS

Descriptive Note:

Corporate Author:

STANFORD UNIV CALIF MICROWAVE LAB

Personal Author(s):

Report Date:

1961-11-01

Pagination or Media Count:

8.0

Abstract:

IMPROVEMENTS IN A PREVIOUSLY REPORTED METHOD FOR DETERMINING ELECTRODE SHAPES FOR AXIALLY SYMMETRIC ELECTRON GUNS ARE DESCRIBED. The general method of attack is to obtain a series of differential equations which will be used to obtain the boundary conditions at the beam edge. These will then be used as boundary conditions for integrating Laplaces equation outward from the edge of the beam. The integration of Laplaces equation is made stable by the process of analytic continuation developed by Garabedian. The case of axially symmetric flow from a hollow cylindrical cathode in which all electron trajectories are invariant to translation parallel to the axis is discussed. Since the system considered has axial symmetry, attention is confined to a meridian plane with the cylindrical coordinates r and z. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE