1 A preview of the subject of the book
1.1 Symmetry considerations
1.2 Ferroic materials
1.3 Laser optics
1.4 Creating the trinity
1.5 Structure of this book
 
2 Symmetry
2.1 Describing interactions in condensed-matter systems
2.2 Introduction to practical group theory
2.3 Crystals
2.4 Point groups and space groups
2.5 From symmetries to properties
 
3 Ferroic materials
3.1 Ferroic phase transitions
3.2 Ferroic states
3.3 Antiferroic states
3.4 Classification of ferroics
 
4 Nonlinear optics
4.1 Interaction of materials with the electromagnetic radiation field
4.2 Wave equation in nonlinear optics
4.3 Microscopic sources of nonlinear optical effects
4.4 Important nonlinear optical processes
4.5 Nonlinear spectroscopy of electronic states
 

5 Experimental aspects
5.1 Laser sources
5.2 Experimental setups
5.3 Temporal resolution
6 Nonlinear optics on ferroics - an instructive example
6.1 SHG contributions from antiferromagnetic Cr2O3
6.2 SHG spectroscopy
6.3 Topography on antiferromagnetic domains
6.4 Magnetic structure in the spin-flop phase
 
7 The unique degrees of freedom of optical experiments
7.1 Polarisation-dependent spectroscopy
7.2 Spatial resolution - domains
7.3 Temporal resolution - correlation dynamics
 
8 Theoretical aspects
8.1 Microscopic sources of SHG in ferromagnetic metals
8.2 Microscopic sources of SHG in antiferromagnetic insulators
 
9 SHG and multiferroics with magnetoelectric correlations
9.1 Type-I multiferroics - the hexagonal manganites
9.2 Type-I multiferroics - BiFeO3
9.3 Type-I multiferroics with strain-induced ferroelectricity
9.4 Type-II multiferroics - MnWO4
9.5 Type-II multiferroics - TbMn2O5
9.6 Type-II multiferroics - TbMnO3
9.7 Type-II multiferroics with higher-order domain functionalities
 
10 SHG and materials with novel types of primary ferroic order
10.1 Ferrotoroidics
10.2 Ferro-axial order - RbFe(MoO4)2
 
11 SHG and oxide electronics - thin films and heterostructures
11.1 Growth techniques
11.2 Thin epitaxial oxide films with magnetic order
11.3 Thin epitaxial oxide films with ferroelectric order
11.4 Poling dynamics in ferroelectric thin films
11.5 Growth dynamics in oxide electronics by in-situ SHG probing
 
12 Nonlinear optics on ordered states beyond ferroics
12.1 Superconductors
12.2 Metamaterials - photonic crystals
12.3 Topological insulators
 
13 A retrospect of the subject of the book