Teaching astronomical speckle techniques

This paper gives an introduction to speckle techniques developed for high angular-resolution imagery in astronomy. The presentation is focussed on fundamental aspects of the techniques of Labeyrie and Weigelt. The formalism used is that of Fourier optics and statistical optics, and corresponds to graduate level. Several new approaches of known results are presented, An operator formalism is used to identify similar regions of the bispectrum. The relationship between the bispectrum and the phase closure technique is presented in an original geometrical way. Effects of photodetection are treated using simple Poisson statistics. Realistic simulations of astronomical speckle patterns illustrate the presentation.