Problems in Two Dimensions

Abstract

Transmission of electromagnetic energy may be accomplished by means of hollow metallic cylinders called wave guides. The electromagnetic waves propagate in the nonconducting region enclosed by the metal cylinder. For the fields in this region, Maxwell’s equations reduce to¹

$$\nabla \cdot E = 0,$$

(4.1a)

$$\nabla \times E + \mu \frac{{\partial H}}{{\partial t}} = 0,$$

(4.1c)

$$\nabla \cdot H = 0,$$

(4.1c)

$$\nabla \times H - \varepsilon \frac{{\partial E}}{{\partial t}} = 0.$$

(4.1d)

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