Reflection from Corners in Rectangular Wave Guides-Conformal Transformation*

A conformal transformation method is used to obtain approximate expressions for the reflection coefficients of sharp comers in rectangular wave guides. The transformation carries the bent guide over into a straight guide filled with a nonuniform medium. The reflection coefficient of the transformed system can be expressed in terms of the solution of an integral equation which may be solved approximately by successive substitutions. When the corner angle is small and the corner is not truncated the required integrations may be performed and an explicit expression obtained for the reflection coefficient. Although applied here only to corners, the method has an additional interest in that it is applicable to other types of irregularities in rectangular wave guides.