Tables for
Volume D
Physical properties of crystals
Edited by A. Authier

International Tables for Crystallography (2013). Vol. D, ch. 1.7, p. 219

Section 1.7.6. Glossary

B. Boulangera* and J. Zyssb

aInstitut Néel CNRS Université Joseph Fourier, 25 rue des Martyrs, BP 166, 38042 Grenoble Cedex 9, France, and bLaboratoire de Photonique Quantique et Moléculaire, Ecole Normale Supérieure de Cachan, 61 Avenue du Président Wilson, 94235 Cachan, France
Correspondence e-mail:

1.7.6. Glossary

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μ0 vacuum magnetic permeability
[epsilon]0 permittivity of free space
c velocity of light in a vacuum
P electronic polarization
Pn nth order electronic polarization
PNL nonlinear polarization
χ(n) nth order dielectric susceptibility tensor
[epsilon] dielectric tensor
n refractive index
nx, ny, nz principal refractive indices
(x, y, z) principal axes of the index surface (optical frame)
no, ne refractive indices of the ordinary and extraordinary eigen modes
T transmission coefficient
V half of the angle between optic axes
ω laser circular frequency
λ laser wavelength
[\varphi] laser phase
vg laser group velocity
k wavevector
u unit wavevector
(θ, [\varphi]) spherical coordinates of the wavevector in the optical frame
Π neutral vibration plane
E electric field vector
(e, E) unit vector and amplitude of the electric field
D dielectric displacement vector
d unit dielectric displacement vector
H magnetic field vector
S Poynting vector
s unit Poynting vector
W work done per unit time
([X, Y, Z]) orthonormal wave frame where Z is along the wavevector
ρ double refraction angle (walk-off angle)
[\nabla] nabla operator
[\otimes] tensorial product
· tensorial contraction
[\times] vectorial product
Q* complex conjugate of Q
w0 laser beam waist radius
ZR Rayleigh length of the laser beam
τ laser pulse half duration
f repetition rate of the pulsed laser
P, P(t) laser instantaneous power
I instantaneous laser intensity
[\tilde E] total energy per laser pulse
[\tilde P] average laser power
Pc laser peak power
L crystal length
χeff, deff effective coefficient
F(n) nth order field tensor
Δk phase mismatch
ηSHG conversion efficiency of second harmonic generation
G, h spatial walk-off attenuation functions


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