We calculate the coincidence count probabilities when the photon pairs entangled in orbital angular momentum generated via spontaneous parametric downconversion are measured by using holograms with an m-fold dislocation, considering the nonzero crystal length. We find that the coincidence probabilities related to azimuthal changes in hologram positions deviate significantly from a sinusoidal curve, which has often been assumed in simple analyses. It is found that the main cause of this effect is the high-dimensional entanglement in Laguerre–Gaussian modes. We also find that the crystal length causes the hologram positions to change for the maximum coincidence probabilities.
© 2009 Optical Society of America
Original Manuscript: August 6, 2008
Revised Manuscript: February 5, 2009
Manuscript Accepted: February 25, 2009
Published: March 26, 2009
Daisuke Kawase, Yoko Miyamoto, Mitsuo Takeda, Keiji Sasaki, and Shigeki Takeuchi, "Effect of high-dimensional entanglement of Laguerre-Gaussian modes in parametric downconversion," J. Opt. Soc. Am. B 26, 797-804 (2009)