We review some recent experiments based upon multimode two-photon
interference of photon pairs created by spontaneous parametric down-conversion.
The new element provided by these experiments is the inclusion of the
transverse spatial profiles of the pump, signal and idler fields. We discuss
multimode Hong-Ou-Mandel interference, and show that the transverse profile of
the pump beam can be manipulated in order to control two-photon interference.
We present the basic theory and experimental results as well as several
applications to the field of quantum information.Comment: 20 pages, 14 figures, Brief Review to be published in Modern Physics
Letters