Intense, ultrashort laser pulses are required for the study of many nonlinear optical effects and are of utmost relevance for various applications from ultrafast X-ray radiography in medicine up to remote sensing of the atmosphere. Increasing their intensity while interacting with matter eventually leads to the generation of laser-induced plasma. This plasma has fascinating optical properties such as a negative refractive index contribution proportional to the free electron density or the lack of a damage threshold, giving the prospect of a multitude of new applications based on the manipulation of light with plasma. The realization of such plasma-based applications requires a precise knowledge of its properties and temporal evolution, as ...