Statistical properties of experimental coherent waves in microcavity lasers: Analogous study of quantum billiard wave functions

We use a microcavity laser to explore the properties of experimental coherent waves as an analogous study of the chaotic wave functions in quantum billiards. With the eigenstate expansion method, the experimental high-order chaotic coherent waves are well reconstructed. The reconstructed wave functions are employed to calculate the field and intensity correlations. It is found that the spreading of k -space (momentum space) distribution leads to not only wave localization in coordinate space but also enhancement of long-range correlations.