University of Twente Student Theses


Modelling nonlinear optical pulse propagation using pseudo-spectral methods.

Schuttrups, B. (2020) Modelling nonlinear optical pulse propagation using pseudo-spectral methods.

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Abstract:We present a newly developed code for simulating nonlinear pulse propagation in waveguides, using the efficient fourth-order Runge-Kutta method in the interaction picture (RK4IP). We compare RK4IP with the widely-used split-step Fourier method (SSFM) for solving both the normal and generalised nonlinear Schrödinger equation. We provide verification and validation for our results and confirm 2nd- and 4th-order convergence for SSFM and RK4IP, respectively. In addition, we find that RK4IP is more accurate and computationally efficient method than SSFM, especially for simulating more complex and highly dynamic cases. We use RK4IP to study the nonlinear propagation and asymptotic behaviour of various optical pulses. Finally, we present the results of simulating supercontinuum generation in a photonic crystal fiber. Our simulation results show the increase of spectral broadening as the pulse energy increases, while keeping a constant pulse width of 60 fs. We find the generation of a supercontinuum with a spectral width of 546 THz for the maximum input pulse energy of 501 pJ.
Item Type:Essay (Master)
Faculty:TNW: Science and Technology
Subject:31 mathematics, 33 physics
Programme:Applied Physics MSc (60436)
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