“…Short-wavelength operation of laser-diode-pumped solid-state laser systems could be achieved by using nonlinear techniques. Thus, harmonic generation in nonlinear crystals [4] and frequency upconversion [5,6] are two promising techniques. In upconversion laser schemes, excitation of high-energy optical states is achieved either by sequential absorption of pump photons in one ion, or by cooperative transfer involving two or more excited ions, or, as shown recently, by photon avalanche, i.e., a process that involves cross relaxation to populate the metastable states of two ions followed by excited-state absorption (ESA) from these states [7].…”