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Rare-earth-doped Gain Media

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Definition: laser gain media which are doped with rare-earth ions

Among the most popular solid-state gain media are the rare-earth-doped laser crystals and glasses; more recently, ceramic media have started to find increasing interest. In any case, these media are doped with rare-earth ions, which are nearly always trivalent (i.e., have a triple positive charge). Divalent rare-earth ions have also been used in laser devices, but only relatively exotic ones for cryogenic operation.

In most cases, the rare-earth ions replace other ions of similar size and same valence (charge state) in the host medium; for example, a Nd3+ ion in Nd:YAG (yttrium aluminum garnet) substitutes an yttrium (Y3+) ion. The concentration of laser-active rare-earth dopants in the host medium is in most cases only a small molar percentage, although there are exotic cases such as potassium ytterbium double tungstate (KYbW) where each unit cell contains a laser-active ion.

A characteristic property of the trivalent rare-earth ions is that their electronic transitions usually occur within the 4f shell, which is somewhat shielded from the host lattice by the optically passive outer electronic shells. (Ce3+ with its 5d-4f transitions is an exception.) This reduces the influence of the host lattice on the wavelengths, bandwidths and cross sections of the relevant optical transitions.

Note that the rare earth elements include all the lanthanides except for the radioactive prometium, plus scandium and yttrium. All the laser-active rare earth ions are actually lanthanides. Therefore, lasers based on rare-earth-doped gain media are sometimes called lanthanide lasers.

Overview on Rare-earth Ions

The most frequently used laser-active rare-earth ions and host media together with typical emission wavelength ranges are shown in the following table:

Ion Common host media Important emission wavelengths
neodymium (Nd3+) YAG, YVO4, YLF, silica 1.03-1.1 μm, 0.9-0.95 μm, 1.32-1.35 μm
ytterbium (Yb3+) YAG, tungstates, silica 1.0-1.1 μm
erbium (Er3+) YAG, silica 1.5-1.6 μm, 2.7 μm, 0.55 μm
thulium (Tm3+) YAG, silica, fluoride glasses 1.7-2.1 μm, 1.45-1.53 μm, 0.48 μm, 0.8 μm
holmium (Ho3+) YAG, YLF, silica 2.1 μm, 2.8-2.9 μm
praseodymium (Pr3+) silica, fluoride glasses 1.3 μm, 0.635 μm, 0.6 μm, 0.52 μm, 0.49 μm
cerium (Ce3+) YLF, LiCAF, LiLuF, LiSAF, and similar fluorides 0.28-0.33 μm

Technologically most important are ytterbium- and neodymium-doped gain media for lasers and erbium-doped fibers for erbium-doped fiber amplifiers.

Other rare-earth-doped ions, normally not used for laser action but sometimes as a codopant, e.g. for quenching the population in certain energy levels by energy transfer processes, or for realizing saturable absorbers, or as optically passive constituents of laser crystals, are yttrium (Y3+), samarium (Sm3+), europium (Eu3+), gadolinium (Gd3+), terbium (Tb3+), dysprosium (Dy3+), and lutetium (Lu3+).

Host Crystals and Glasses

There is a wide range of crystalline media (laser crystals) which can serve as host media for laser-active rare-earth ions. Frequently used crystal materials are certain oxides (e.g. YAG), vanadates, tungstates (e.g. KGW and KYW), fluorides (e.g. YLF, CaF), borates (e.g. BOYS), and apatites (e.g. S-FAP or SYS). The articles on gain media and laser crystals discuss a number of important properties of host crystals.

Compared with crystals, rare-earth-doped glasses usually allow for a larger gain bandwidth and thus larger wavelength tuning ranges, and also shorter ultrashort pulses with passive mode locking. Such glasses are used in the form of bulk pieces or optical fibers (e.g. rare-earth-doped silica fibers). The high optical confinement in fibers allows operation even on "difficult" laser transitions with rather low gain efficiency. Special fibers e.g. made on fluoride glass have particularly low phonon energies, leading to good mid-infrared transmission and long metastable level lifetimes. They are also often used for upconversion lasers. See also the articles on rare-earth-doped fibers, laser crystals versus glasses, and ceramic gain media.

Typical Properties

All rare-earth-doped gain media have in common that the pump and laser transitions are so-called forbidden transitions with rather small oscillator strength. A consequence of this is that the upper-state lifetimes can be rather long, i.e., of the order of microseconds to milliseconds, so that substantial amounts of energy can be stored in such media. This property makes rare-earth-doped lasers quite suitable for pulse generation with Q switching, but also susceptible to spiking phenomena. In such respects, rare-earth-doped lasers are very different e.g. compared with semiconductor lasers, dye lasers, or gas lasers.

Depending on the phonon energies of the host medium, some of the level lifetimes can be strongly quenched by multi-phonon transitions. Such effects are minimized in low-phonon-energy host media such as fluoride fibers. Quenching effects can be welcome if they depopulate the lower laser level, thus preventing or reducing reabsorption, or if they help to populate the upper laser level within the pumping process.

Various kinds of interactions, in particular dipole-dipole interactions, allow energy transfer between different rare-earth ions either of the same species or of different species. This is exploited e.g. in erbium-ytterbium-codoped fibers, where the pump radiation is dominantly absorbed by ytterbium ions and mostly transferred to erbium ions.

Bibliography

[1]B. R. Judd, "Optical absorption intensities of rare-earth ions", Phys. Rev. 127 (3), 750 (1962)
[2]G. S. Ofelt, "Intensities of crystal spectra of rare-earth ions", J. Chem. Phys. 37 (3), 511 (1962)
[3]G. H. Dieke and H. M. Crosswhite, "The spectra of the doubly and triply ionized rare earth", Appl. Opt. 2 (7), 675 (1963)
[4]A. J. Kenyon, "Recent developments in rare-earth doped materials for optoelectronics", Progr. Quantum Electron. 26, 225 (2002)
 [5]M. J. F. Digonnet, "Rare-earth-doped fiber lasers and amplifiers", 2nd edition, CRC Press, Boca Raton, FL (2001)

See also: rare-earth-doped fibers, gain media, laser crystals, neodymium-doped gain media, ytterbium-doped gain media, erbium-doped gain media, solid-state lasers, transition-metal-doped gain media, laser crystals versus glasses, fibers, fluoride fibers, doping concentration

Category: materials

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