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( ′′ )
K %
GaAsO 4 25% ?
40
GaPO 4
Coupling coefficient, k
20
AT cut angle
30
AlAsO 4
tuPO 4
AlPO 4
Ω SiO 2
10
10
β quartz
θ ( ° )
GaAsO 4 O ° Y Cut ?
130
135
140
145
150
155
Figure 5.35 Extrapolation of possible piezoelectric properties to other quartz-like materials [117] .
Source: Courtesy of the Academic Press, Orlando, FL.
Table 5.12 Extrapolation of AT-Cut Characteristic from Well-Known Quartz and
Quartz-Like Materials
Material
SiO 2
AlPO 4 FePO 4 AlAsO 4 GaPO 4 GeO 2 GaAsO 4
AT-cut angle ( )
2 35.25
2 33.02
2 20
2 15
2 15
0
0
Coupling coefficient k (%)
8.5
11.0
15
18
18
25
25
c/a
2.20
2.22 2.23
2.23
2.26
2.27
2.28
best compromise for industrial development because of its high AT-cut coupling
coefficient and large temperature range stability with a few drastic packing distor-
tions. If the size of the GaPO 4 crystals grown by the hydrothermal technique is
increased at least by one-fourth the value of the quartz, then GaPO 4 would be the
best piezoelectric material of the twentieth century and probably of the early
twenty-first century as well.
5.5 Potassium Titanyl Phosphate
Potassium titanyl phosphate, KTiOPO 4 (KTP), is one of the best nonlinear optical
materials increasingly being used commercially for the second harmonic generation
(SHG) and parametric oscillation since its discovery and introduction in 1976
[134] . It all began when there was a search for a suitable crystal to convert effi-
ciently the near-IR light at 1.06
m, which is useful in laser surgery. However,
from the surgeon's point of view, there is a difficulty as the near-IR is not visible
μ
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