New expressions of dyadic Green´s functions in uniform waveguides with perfectly conducting walls

New expressions of the dyadic Green\´s functions in uniform waveguides with perfectly conducting walls are obtained. Significant features of these expressions are an explicit modal evaluation of their singular part. The same forms as in the free space appear; moreover the use of the divergence theorem allow to apply the operator on the currents in the integral representations of the electromagnetic fields. Consequently the involved kernels are less singular, and this procedure can be conveniently used in some applications.