  One-dimensional optical waveguiding is revisited using the electromagnetic
deduction of Fresnel formulas relating the incident, reflected, and transmitted
waves on the abrupt interface between two different optical media. Throughout
the paper, different optical configurations are analyzed from this perspective
revealing that, in all cases, those solutions corresponding to waveguiding
configurations share common features. These shared characteristics are:
firstly, the guided modes always emerge as singular solutions of the associate
coherent optical scattering problem and, secondly, the resonance condition that
must be satisfied corresponds to the pole of the associated Fresnel
Coefficients.
