Abstract: An optical fiber waveguide is disclosed wherein the cladding surrounds a fiber core having a noncircularly symmetric cross section. Equations are presented which dictate the value of the index of refraction that must be provided at each spatial point within the fiber core in order to construct a fiber waveguide having minimum modal dispersion. An especially useful optical fiber waveguide is disclosed with an elliptical fiber core thereby providing a fiber which can be more efficiently coupled to a light emitting source having an elongated source area such as in a heterojunction laser or an edge-emitting light emitting diode.