Multiple Cylindrical TM-Modes for a Homogeneous, Self-Focusing Dielectric

✍ Scribed by Hans-Jörg Ruppen

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 466 KB
• Volume: 134
• Category: Article
• ISSN: 0022-0396
• DOI: 10.1006/jdeq.1996.3213

✦ Synopsis

In CGS units, Maxwell's equations for a dielectric medium are curl E=&

In these equations, c denotes the speed of light in a vacuum, E denotes the electric field, D denotes the electric displacement field, B denotes the magnetic induction field and H denotes the magnetic field.

The description of electro-magnetic phenomena involves besides Maxwell's equations (1) constitutive relations between E and D as well as between B and H. Throughout this paper we shall assume that the dielectric medium is non-magnetic; thus we are led to assume

( 2 )

As for the constitutive relation between E and D, we express it for a monochromatic electric field E(x, y, z, t)=E 1 (x, y, z) cos |t+E 2 (x, y, z) sin |t (where

where

is the time average of the intensity of the electric field. Such a relation is commonly used when dealing with large values of | (optical waves).