All-Dielectric Nanophotonics

1. Introduction

2. Theoretical background

2.1 Maxwell’s equations

2.2 General concepts of scattering theory

2.3 Multipole decompositions

2.4 Quasinormal modes

2.5 Phenomenological models

2.6 General principles of periodic arrays

3. Dielectric materials

3.1 Introduction

3.2 Conventional semiconductors

3.3 Emerging materials

4. Directional scattering of dielectric nanoantennas

4.1 First and second Kerker conditions

4.2 Generalized Kerker effect

4.3 Non-diffractive arrays: Kerker effect, perfect reflection, and lattice anapole

4.4 Lattice resonance effect

4.5 Finite-size arrays

4.6 Unidirectional scattering near substrate

4.7 Transverse Kerker effect

4.8 Superdirectivity

4.9 Beamsteering with nanoantennas

4.10 Nanoparticle chain waveguides

4.11 Summary

4.12 Abbreviations

5. Fano resonances in all-dielectric nanostructures

5.1 Theory of Fano resonances

5.2 Disorder-induced Fano resonances

5.3 Cascades of Fano resonances

5.4 Fano resonance and Purcell effect

5.5 Dynamical scattering effects at the Fano resonances

5.6 Fano resonance in metasurfaces

5.7 Summary

6. Non-radiating sources

6.1 Multipole analysis of radiationless states

6.2 Fano–Feshbach description of radiationless states

6.3 Selected experiments and applications

7. Bound states in the continuum in dielectric resonators embedded into metallic waveguide

7.1 Introduction

7.2 BICs in periodical arrays and gratings

7.3 Dielectric rods inserted into radiation space restricted by metal planes

7.4 Rectangular rod between two metallic planes

7.5 Fabry–Perot BICs: two rods inside waveguide

7.6 Topologically protected BICs merge into SP or accidental BICs

7.7 Conclusions and discussion

8. Exceptional points

8.1 Introduction

8.2 General theory of exceptional points

8.3 Exceptional points in isolated and coupled dielectric resonators

8.4 Exceptional points in non-Hermitian systems with gain and loss

8.5 Topological properties of exceptional points

8.6 Enhanced sensitivity at the EP

8.7 EPs and strong coupling

8.8 Conclusion

9. Rational design of maximum chiral dielectric metasurfaces

9.1 Introduction

9.2 Theoretical background

9.3 Chiral mirrors

9.4 Rotationally symmetric chiral metasurfaces

9.5 Asymmetric metasurfaces

9.6 Conclusions and outlook

10. Transparent phase dielectric metasurfaces

10.1 Introduction

10.2 Fano metasurfaces

10.3 Huygens metasurfaces

10.4 Transverse Kerker metasurfaces

10.5 Hybrid anapole metasurfaces

10.6 Pancharatnam–Berry phase metasurfaces

11. Nonlinear phenomena empowered by resonant dielectric nanostructures

11.1 Introduction

11.2 Third-order nonlinear effects in dielectric nanostructures

11.3 Quadratic nonlinear effects in dielectric nanostructures

11.4 Conclusions and outlook

12. Active nanophotonics

12.1 Theoretical concepts

12.2 Configurations for enhancing the emission of quantum emitters

12.3 Outlook

13. Summary, future perspectives, and new directions