Modelling heterogeneous nonlinear subwavelength systems with the finite difference time domain method

Predicting the response of heterogeneous nonlinear microscopic systems to laser excitation is very difficult using analytical techniques and is only feasible under simplifying assumptions. However, using numerical methods, it is possible to analyze arbitrary systems and make predictions about their behaviour. This information may be used to develop new techniques and a better understanding of measurements. One area which stands to benefit from such methods is nonlinear microscopy. We use finite difference time domain methods to explain experimental measurements and also develop a new nonlinear microscopy technique which shows a significant improvement in axial resolution over traditional techniques. We then explore the behaviour of Maxwell Garnett nanocomposites and illustrate the limitations of the current theoretical models for these systems