This thesis analyses Parametric Frequency Conversion arising from second order non-linear effects in crystals, namely a 5% Mg-doped PPLN crystal.
The analysis starts with a detailed analytical framework discussing the simplifications and approximations used in developing the governing equations later simulated. The theoretical framework constitutes the fundamental backbone of the simulations presented afterwards and the validity of several assumptions is analysed with the simulations as a basis. The effect of accounting for spatial and temporal confinement and depletion are all analysed.
The simulations include; quasi-monochromatic continuous plane waves, quasi-monochromatic continuous Gaussian waves and quasi-monochromatic plane wave} pulses. Simulation results are compared to analytical results, to previously published numerical results and to new experimental results.
Results show that the computation time of the simple plane wave theory is significantly less than that of the Gaussian basis model used to describe spatially confined CW field and the Split-step Fourier method used to describe plane wave pulses. The plane wave theory is seen to be applicable for spatially confined pulses in the slightly confined, weak coupling regime and for temporally long pulses.
Optical Sensor Technology
Optical Sensor Technology
Simulation of DFG for plane wave CW fields.
Governing differential equations that is solved using Runge-Kutte 45.
Simulation of DFG for Gaussian CW fields.
Subscript to create a basis transformation matrix.
Subscript to plot the temporal form as function of pump powers.
Anders Bilfeldt — Anders.Bilfeldt.dk — (+45) 3116 4000