A nonlinear Yb:YAB laser material is disclosed. The material is capable of generating fundamental o-polarized first wavelength laser light and frequency doubled e-polarized second wavelength laser light, the material being oriented for type 1 phase matching of the first wavelength laser light. Also disclosed is a laser system. The system comprises a pumping light source (102) emitting a pumping beam of light, a laser cavity (114) having an input coupler (108) operatively disposed with respect to the light source (102) so as to couple the pumping beam of light into the cavity (114), and a nonlinear Yb:YAB laser material (105) capable of lasing in response to a pumping beam of light thereby generating fundamental o-polarized first wavelength laser light and frequency doubled e-polarized second wavelength laser light, the material being oriented for type 1 phase matching of the first wavelength laser light, the first wavelength laser light being in the range of 1020-1100 nm and the second wavelength laser light being in the range of 510-550 nm. The input coupler (108) comprises a reflector to at least partially reflect the first wavelength laser light and the second wavelength laser light into the cavity (114), and the laser cavity (114) further includes an output coupler (111) for coupling and outputting at least the second wavelength laser light from the cavity (114) as an output laser beam. Also disclosed are methods of providing an output laser beam and methods of using the beam.