An error was made which is a basic calculation mistake. We have corrected this error and updated the prospects about ring cavity-based photon pair sources.
© 2010 OSA
In the article , in the first sentence of Section 5.3, we stated that the flux spectral density generated in out ring resonator should be approximately 3700 higher than in our 1.13 cm long waveguide. This predicted enhancement factor is incorrect. The correct enhancement factor, obtained from Fp,i,s = 110 and length equal 57 µm (this is the length deduced from the free spectral range, which differs from the physical length equal to 43 µm) is 5.1011. The same underestimate occurs in the discussion (Section 5.3.1) since the field enhancement factor appears at the 8th power (not the 4th as stated). The predicted flux should be 1015 Hz instead of 107 Hz. The discrepancy between theory and experiment is thus extremely large. If it could be resolved, then integrated ring resonator would provide an extremely bright photon pair source.
We thanks Luke Helt from University of Toronto for pointing out this mistake. We acknowledge the support of the Fonds pour la formation à la Recherche dans l’Industrie et dans l’Agriculture (FRIA, Belgium), of the Interuniversity Attraction Poles Photonics@be Programme (Belgian Science Policy) under grant IAP6-10, of the EU project QAP contract 015848, of the Programme International de Coopération Scientifique PICS-3742 and the Groupement de Recherche Photonique Nonlinéaire et Milieu Microstructurés GDR-3073 of the CNRS.
References and links
1. S. Clemmen, K. Phan Huy, W. Bogaerts, R. G. Baets, Ph. Emplit, and S. Massar, “Continuous wave photon pair generation in silicon-on-insulator waveguides and ring resonators,” Opt. Express 17, 16558–16570 (2009). [CrossRef] [PubMed]