1. “Handbook of nonlinear optical crystals”
CRYSTAL OPTICS
“Handbook of nonlinear optical crystals”
by Dmitriev, Gurzadyan and Nikogosyan
Born and Wolf
Pages
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2. CRYSTALS
With respect to principal axis:
Uniaxial crystal
Biaxial crystal
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3. E D k
B, H

4. Uniaxial crystals Ordinary ray Extraordinary ray Principal plane

5. Uniaxial crystals
ne does not depend on j

6. z Uniaxial crystals k E Walk-off angle: no ne (q) D q E x H = s b ne
Equation of the index ellipse:
Walk-off angle: z k E no E
ne (q) D q
E x H = s b ne
x, y or r

7. Orienting Uniaxial crystalsk z
x, y or r q b
ne (q) ne no L qc

8. z Velocities in Uniaxial crystals qc E k L E no vp = c/ne (q) q b ne
vr = ray velocity
x, y or r L
Quote from Born & Wolf: The ray velocity is a useful concept, although, like the phase velocity,
it has no directly verifiable physical significance!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

9. “Handbook of nonlinear optics” by Richard L. Sutherland
“Handbook of nonlinear optical crystals”
by Dmitriev, Gurzadyan and Nikogosyan

10. Phase matching
o o e z k E
E x H = s
no3 E
n01 D q b
ne3
x, y or r

11. Phase matching
o o e z
o e e k
no3
no1 D q
ne1
n01
ne3 y x

12. Optically contacted interface
POSITIVE uniaxial crystals (extraordinary index> ordinary)
YVO4
AR coated faces
Optic axis
25o
P-polarized polarization orthogonal to k vector which is optic axis thus o-wave
25o
Optically contacted interface
Optic
axis
l/4
After interface, still o-wave, since p-wave polarized in plane of paper, optic axis perpendicular to paper in second crystal
No change of index at the interface for a p-wave