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ABCD Matrix

Yttrium Aluminum Garnet Crystal (YAG)

Yttrium aluminum garnet (YAG) is a synthetic cubic crystal with formula Y3/Al5/O12


In lasers and photonics it is the most important host lattice for rare-earth-doped solid-state lasers: yttrium sites readily accept ions such as Nd3+, Yb3+, Er3+, Tm3+ or Ho3+ with only modest lattice distortion.


Pure (undoped) YAG is colorless, optically isotropic and transparent from the UV into the mid-IR; it is also used as a window or substrate material.


Technical properties:


  • Crystal system: cubic garnet (space group Ia3ˉd), lattice constant ≈ 12.01 Å.


  • Density: 4.55−4.56 g cm−3


  • Melting point: ≈ 1970∘C.


  • Hardness: Mohs 8–8.5 (Knoop ≈1215).


  • Thermal conductivity: 10−14 W m−1K−1 at room temperature.


  • Thermal expansion: ≈7−8×10−6/K−1.


  • Refractive index: n≈1.82 at 1064 nm (dn/dT≈+7−10×10−6 K−1).


  • Transmission window: roughly 0.21–5.5 µm.


  • No natural birefringence (only thermally induced).


Crystals are grown by the Czochralski method (typical boule diameters up to ~100 mm). Typical Nd doping for lasers is 0.6–1.1 at.% (≈1.38×1020 cm−3 at 1 at.%).


Principal laser variants:


  • Nd:YAG (the classic “YAG laser”) is a four-level system. Strongest line is 1064 nm (4F3/2→4I 11/2); other useful lines include 946 nm (quasi-three-level), 1319 nm and 1338 nm. Fluorescence lifetime ≈230 μs, emission cross-section at 1064 nm ≈2.8×10−19 cm2. Pumped at ~808 nm (diodes) or by flashlamps. Harmonics give 532 nm, 355 nm and 266 nm. 


  • Yb:YAG emits near 1030 nm (also 1050 nm). Longer upper-state lifetime (~1 ms), broader bandwidth and lower quantum defect make it the preferred medium for high-power thin-disk and high-energy pulsed lasers.


  • Er:YAG operates near 2.94 µm, strongly absorbed by water, and is used for tissue ablation.


Applications:


  • Industrial processing: cutting, welding, drilling, marking and surface treatment of metals and other materials (high peak power, good beam quality, fiber delivery).


  • Medicine: ophthalmology (posterior capsulotomy, iridotomy, floater treatment), dermatology, oncology and soft-tissue surgery (especially Er:YAG at 2.94 µm).


  • Defense and ranging: target designation, rangefinding, designation.


  • Scientific and photonic: pump sources for other lasers (Ti:sapphire, OPOs), spectroscopy, nonlinear frequency conversion, high-power amplifiers.


  • Non-laser photonics: Ce:YAG phosphors for white LEDs and scintillators; undoped YAG windows and substrates that replace sapphire when isotropy is required.


YAG remains the workhorse host because it combines high optical quality, mechanical robustness, good thermal conductivity and a mature growth technology. Yb:YAG and ceramic/transparent-polycrystalline YAG variants continue to push average-power and energy limits.

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