We calculate the relative amplitude of orbital angular momentum (OAM) entangled photon pairs from the spontaneous parametric down conversion. The results show that the amplitude depends on both the two Laguerre indices l, p. We also discuss the influences of the mostly used holograms and mono-mode fibers for mode analyzation. We conclude that only a few dimensions can be explored from the infinite OAM modes of the down-converted photon pairs.
@article{arxiv.quant-ph/0309044,
title = {Orbital angular momentum of the down converted photons},
author = {Xi-Feng Ren and Guo-Ping Guo and Bo Yu and Jian Li and Guang-Can Guo},
journal= {arXiv preprint arXiv:quant-ph/0309044},
year = {2007}
}