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Design of nonlinear integrated devices for quantum optics applications / vorgelegt von Matteo Santandrea ; [Erstgutachter: Prof. Dr. Christine Silberhorn, Zweitgutachter: Prof. Dr. Torsten Meier]. Paderborn, 2019
Inhalt
0 Erklärung der Selbstständigkeit
0 Summary
0 Zusammenfassung
0 Preface
0 Introduction
0 List of abbreviations and nomenclature
Background
1 Integrated waveguides
Ray optics description
Rigorous mathematical description
Asymmetric slab waveguide
Numerical methods
2 Nonlinear optics in waveguiding structures
Nonlinear material response
Second-order nonlinear polarisation density
Nonlinear coupled-mode theory in waveguides
Three wave mixing in waveguides
SFG at perfect phase matching
Phase matching spectrum of SHG processes under NPDA
Final remarks
Understanding and tailoring three wave mixing
Birefringent phase matching
Quasi-phase matching
Elements of ultrafast quantum optics
PDC and broadband modes
FC and broadband modes
Decorrelated JSA
3 Nonlinear materials and waveguide fabrication
Lithium niobate
Optical properties
Diffused waveguide in LN
Thin film LNOI
KTP
Optical properties
Rb exchanged waveguides in KTP
Linear characterisation
Propagation losses
Waveguide-fibre coupling efficiency
Periodic poling
Design of nonlinear processes
4 Design of nonlinear processes in KTP
Frequency conversion IR ext ext UV
Sample fabrication
Linear characterisation
Frequency conversion measurement
Decorrelated PDC source at 1300nm
5 Effect of inhomogeneities in nonlinear systems
Qualitative model
Numerical analysis of |w| for Ti:LN waveguides
Phase matching in inhomogeneous waveguides.
Mathematical modelling of waveguide inhomogeneities
Analysis of different types of noises
Impact of fabrication errors in squeezing generation.
Impact of fabrication errors on quantum information encoding.
Impact of fabrication errors on the performance of a bandwidth compressor.
Reconstruction of sample inhomogeneity
Experiment
Correction of fabrication imperfection
Simulation of the inhomogeneous system and its correction
General theory of waveguide inhomogeneities
Mathematical formulation
Simulation of inhomogeneous systems
General design rule for nonlinear systems
Comparison with simulations of different physical systems
6 Second harmonic losses
Measurement Strategy and Theory
Fitting procedure
Results
7 Design of nonlinear processes in LNOI
Dispersion relations of LNOI waveguides
Modelling of LNOI waveguides
Numerical derivation of the dispersion relations
Dependence of the dispersion relation on the waveguide geometry: a qualitative analysis
Process engineering in LNOI waveguides
ext ext contour lines: a novel method of analysis
Engineering of PDC processes in LNOI waveguides
Pure degenerate PDC states in LNOI
Identification of the design parameters
Sensitivity of the PDC process to fabrication errors
Conversion efficiency of type II PDC
Analysis of facet reflectivity
8 Conclusions
Appendix
A Coefficients for LNOI waveguides
A Acknowledgement
Bibliography
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