Landolt-Brnstein Group III
: Condensed Matter
Volume 30 

High Frequency Properties of Dielectric Crystals 

Subvolume B Nonlinear Dielectric Susceptibilities 
Introductory material 
1 - 2 See Vol. 29A 3 - 4 See Vol. 29B 5 
See Vol. 30A 
6 
Nonlinear dielectric susceptibilities (F. CHARRA, G. GURZADYAN) 1

6.1 
Introduction 1

6.1.1 
Symbols and abbreviations 1

6.1.1.1 
Symbols 1

6.1.1.2 
Abbreviations 2

6.1.1.3 
Crystal-name abbreviations 3

6.1.1.4 
Crystal common names 5

6.1.2 
About the new tables 6

6.1.3 
Dielectric constitutive relations 6

6.1.4 
Time- and frequency-related properties of dielectric susceptibilities 9

6.1.4.1 
Intrinsic symmetries 9

6.1.4.2 
Energy exchange through nonlinear dielectric susceptibility 10

6.1.4.3 
Pulsed regime properties 11

6.1.5 
Tensor properties of dielectric susceptibilities 11

6.2 
Physical origin and methods of measurement of nonlinear dielectric susceptibilities 17

6.2.1 
Different optical processes and their physical origin 17

6.2.1.1 
First-order (linear) effects 18

6.2.1.2 
Second-order effects 18

6.2.1.3 
Third-order effects 20

6.2.1.4 
Higher-order effects 22

6.2.2 
Methods of measurement 23

6.2.2.1 
Second-order effects 23

6.2.2.2 
Third-order effects 25

6.3 
Wave propagation in nonlinear media 26

6.3.1 
Three-wave interactions 26

6.3.2 
Uniaxial crystals 27

6.3.3 
Biaxial crystals 29

6.3.4 
Effective nonlinearity 32

6.3.5 
Frequency conversion in crystals 34

6.4 
How to use the tables 36

6.5 
Second-order nonlinear dielectric susceptibilities 38

6.5.1 
Cubic 38

6.5.1.1 
Point group: (-4)3m 38

6.5.1.2 
Point group: 23 40

6.5.2 
Hexagonal 40

6.5.2.1 
Point group: 6mm 40

6.5.2.2 
Point group: (-6)2m 41

6.5.2.3 
Point group: 6 42

6.5.2.4 
Point group: (-6) 42

6.5.3 
Trigonal 42

6.5.3.1 
Point group: 3m 42

6.5.3.2 
Point group: 32 43

6.5.3.3 
Point group: 3 44

6.5.4 
Tetragonal 45

6.5.4.1 
Point group: (-4)2m 45

6.5.4.2 
Point group: 4mm 47

6.5.4.3 
Point group: 422 48

6.5.4.4 
Point group: (-4) 49

6.5.4.5 
Point group: 4 49

6.5.5 
Orthorhombic 50

6.5.5.1 
Point group: mm2 50

6.5.5.2 
Point group: 222 57

6.5.6 
Monoclinic 59

6.5.6.1 
Point group: 2 59

6.5.6.2 
Point group: m 61

6.5.7 
Triclinic 62

6.5.7.1 
Point group: 1 62

6.6 
Third-order nonlinear dielectric susceptibilities 63

6.6.1 
Cubic: m3m, (-4)3m, 63

6.6.2 
Hexagonal: 6, 6mm 65

6.6.3 
Trigonal: 32, 3m, (-3)m 65

6.6.4 
Tetragonal: (-4)2m, 4/mmm 66

6.6.5 
Monoclinic: 2, 2/m 66

6.6.6 
Orthorhombic: 222, mm2 67

6.7 
Data on crystals (alphabetically ordered substance names) 68

6.8 
References for 6 324

6.9 
Alphabetical list of crystals 347

6.10 
Index of substances for Volumes 29A, 29B and 30A, 30B 355

6.10.1 
Alphabetical index of element systems 357

6.10.2 
Alphabetical index of names 433


