An optically pumped laser oscillator or amplifier including a laser head including a gain medium exhibiting polarization-dependent absorption along two crystallographic axes and a pump source producing a pump beam. The medium's absorption coefficients along both of the crystallographic axes are equal or the difference between the absorption coefficients relative to the lowest absorption coefficients is reduced at least by a factor of two compared to the same relative difference between the two absorption coefficients at the medium's absorption peaks. In some embodiments, the gain medium is a crystal, e.g., a Neodymium-doped Vanadate (Nd:YVO4) crystal, greater than 15 mm. In various embodiments, the optically pumped laser oscillator or amplifier includes two pump sources producing two pump beams.