Accession Number:

ADA169604

Title:

General Solutions to Maxwell's Equations for a Transverse Field.

Descriptive Note:

Interim rept. Nov 85-Feb 86,

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON DC

Personal Author(s):

Report Date:

1986-05-30

Pagination or Media Count:

11.0

Abstract:

The general solution to the wave equation for a transverse field is obtained in terms of the geometry of the wavefront surfaces S. Every solution to Maxwells equation is a solution to this wave equation, but the converse is not necessarily true. Indeed, by using results from differential geometry and topology, it is found that smooth, singularity-free transverse solutions to Maxwells equation cannot exist if S is a spheroid, a noncircular cylinder, or a surface or revolution. It is conjectured that smooth, singularity-free, transverse solutions to Maxwells equations can only exist if S is a circular cylinder or a flat plane. Keywords Electromagnetic propagation and Harmonic fields.

Subject Categories:

  • Electricity and Magnetism
  • Radiofrequency Wave Propagation

Distribution Statement:

APPROVED FOR PUBLIC RELEASE