A unidirectional ring laser oscillator has a travelling wave unstable mode in one transverse dimension and either a waveguide or freespace Gaussian mode in the orthogonal transverse dimension for coupling to large volumes of asymmetric cross section laser gain media. This device concept is shown to have unique and innovative features such as an exchange of left for right in the intracavity radiation profile without having to employ concave optics. Also, a high insensitivity to misalignment of one of the intracavity ring optics is achieved without having to suffer any deleterious effects associated with the high intensity of radiation normally encountered at an intracavity focal plane. Unidirectional operation of the laser is achieved using both intracavity and extracavity optical techniques.