On the Possibility of Generating Solutions to Electromagnetic Problems from known Solutions of Corresponding Static Problems

✍ Scribed by R.M. Huey; Y.S. Liu

• Publisher: Elsevier Science
• Year: 1969
• Tongue: English
• Weight: 808 KB
• Volume: 288
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(69)90175-6

✦ Synopsis

This paper coordinates and formalizes previous ideas on the possibility of creating solutions to electromagnetic wave (i.e. dynamic) problems in three dimensions from the electrostatic and magnetostatic solutions for the corresponding zero-frequency (i.e. static) problems in the same geometry. Extension of the method to the conical coordinate system is shown to be possible. Previous workers had included the rectangular, circular cylindrical, elliptic cylindrical, parabolic cylindrical, and spherical coordinate systems. It is further reported that it is impossible to extend the method to the other$ve coordinate systems in which the Laplace and Helmholtz equations, in three dimensions, are separable.