“Handbook of nonlinear optical crystals” CRYSTAL OPTICS “Handbook of nonlinear optical crystals” by Dmitriev, Gurzadyan and Nikogosyan Born and Wolf Pages 790-795 TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAA

CRYSTALS With respect to principal axis: Uniaxial crystal Biaxial crystal TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAAAAAA

E D k B, H

Uniaxial crystals Ordinary ray Extraordinary ray Principal plane

Uniaxial crystals ne does not depend on j

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

Orienting Uniaxial crystals k z x, y or r q b ne (q) ne no L qc

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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

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

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

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