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A multi-wavelength view of the pulsar environments

Abstract Sometimes the explosion of a supernova can generate a pulsar, most of whose rotational energy is carried away by an energetic wind of particles and magnetic fields expanding into its surroundings and eventually forming extended nebulae, i.e. the pulsar wind nebulae. The experimental advances reached in the last decades, from radio frequencies up to the highest gamma-ray energies, with instruments like VLA, VLBA, Chandra, NuStar, Fermi-LAT and H.E.S.S. among the others, led to the discovery of hundreds of this kind of sources allowing for population studies. In addition, this variety of high-precision spectral and morphological measurement provided an unprecedented opportunity to test and push forward the state-of-the-art theoretical models. In this contribution, we will review the latest, and most significant theoretical and experimental results.