Nonlinear Wave Equation

We look at how the various pieces of optics we have studied throughout the course are integrated in to devices.

We look at generation, propagation and detection of ultrafast laser pulses

We look at the third order nonlinear effect and uses for Kerr lenses.

We use coupled mode analysis to investigate the field amplitudes in three wave mixing, and look at the effect of phase mismatch on the conversion efficiency of nonlinear processes.

We look at the phase matching condition for Second Harmonic Generation and also do a tuning curve example for an OPO

We introduce non-linear optics and discuss various forms of 3 wave mixing including frequency converters, optical parametric amplifiers (OPAs), optical parametric oscillators (OPOs) and second harmonic generation (SHG)

We generalize the expressions for 1D waveguide to 2 dimensions and focus on the calculation of power coupled into a waveguide from a Gaussian beam.

We look at both the ray picture and field picture of modes in a 1D waveguide.

We look at the unusual properties of 2d and 3d photonic crystals

We look at Bloch Wave solutions to propagation in a periodic material using Fourier analysis of the material permittivity.