TY - JOUR A1 - Elsner, Robert A1 - Puhlmann, Dirk A1 - Pieplow, Gregor A1 - Heuer, Axel A1 - Menzel, Ralf T1 - Transverse distinguishability of entangled photons with arbitrarily shaped spatial near- and far-field distributions JF - Journal of the Optical Society of America : B, Optical physics N2 - Entangled photons generated by spontaneous parametric downconversion are ubiquitous in quantum optics. In general, they exhibit a complex spatial photon count distribution. This spatial structure is responsible for seemingly surprising results concerning, e.g., complementarity such as the apparent simultaneous observation of interference fringes V and which-way information D at a double slit, as recently reported by Menzel et al. [Proc. Natl. Acad. Sci. USA 109, 9314 (2012)]. We implement a complete quantitative model of the SPDC interaction that fully incorporates the effects of crystal anisotropies, phase matching, and the pump beam structure and allows for arbitrary manipulations of the SPDC light in the near and far fields. This enables us to establish an upper bound D-2 + V-2 <= 1.47 for the experimental parameters reported by Menzel et al. We report new experimental results that agree excellently with these theoretical predictions. The new model enables a detailed quantitative analysis of this surprising result and the fair sampling interpretation of biphotons passing a double slit. (C) 2015 Optical Society of America Y1 - 2015 U6 - https://doi.org/10.1364/JOSAB.32.001910 SN - 0740-3224 SN - 1520-8540 VL - 32 IS - 9 SP - 1910 EP - 1919 PB - Optical Society of America CY - Washington ER -