Numerical Modelling of Soliton Crystal Formation in a Hydex Micro-resonator
Caitlin Murray
Numerical Modelling of Soliton Crystal Formation in a Hydex Micro-resonator
A micro-ring resonator is a small device that can produce optical frequency combs. Due to the non-linearity of the optical medium solitons; self-reinforcing waves, can be generated in the ring.
Soliton Crystals states occur when the ring is pack full of soliton waves, which produces interesting and useful spectra. This project looks at modelling the formation of Soliton Crystals states and looks at how to go about reliability generating them.
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A micro-ring resonator is a small device that can produce optical frequency combs which consist of a precise sequence of discrete and equally-spaced spectral lines that represent precise marks in frequency. Some applied uses of micro-ring resonators include atomic clocks, terabit optical coherent communication, ultra-fast distance measurement and calibration of spectrometers.
The aim of this project was to produce working MATLAB simulation which models comb formation in optical-micro resonators. The model uses the symmetrical split step Fourier method with a Runge-Kutta 4th order solver to solve the periodic Lugiato-Lefever equation, The Lugiato-Lefever equation describes optical propagation in a non-linear medium.
With the inclusion of mode crossing interesting Soliton Crystal states can be generated. This model is then used to look at ways to reliably generate these Soliton Crystals, by changing power of a CW input, for resonators with different mode crossing strengths and locations.
