ABSTRACT

In this chapter, the authors rederive the transverse electric (TE) mode eigenvalue equation and fields from a more general viewpoint. They address the solution of the eigenvalue equation; let us now look briefly at a few ways of expressing the field distribution. The resulting eigenvalue equation for these TM modes is because only the odd TE modes and even transverse magnetic (TM) modes of the ungrounded slab are present, the only mode of the grounded slab with no cutoff frequency is the TM 0 mode. Some field plots for the various modes of the fiber in such a situation will be presented in the chapter, which should prove more useful for determining what it is that distinguishes them from a physical point of view. This principle can be extended to step-index fibers of any core shape, provided that they know the cutoff wavenumbers for the TM modes of a correspondingly shaped hollow metallic guide.