Relative-phase and time-delay maps all over the emission cone of hyperentangled photon source

Salem F. Hegazy; Yahia A. Badr; Salah S. A. Obayya

doi:10.1117/1.OE.56.2.026114

16 February 2017 Relative-phase and time-delay maps all over the emission cone of hyperentangled photon source

Salem F. Hegazy, Yahia A. Badr, Salah S. A. Obayya

Author Affiliations +

Optical Engineering, Vol. 56, Issue 2, 026114 (February 2017). https://doi.org/10.1117/1.OE.56.2.026114

Abstract

Realizing high flux of hyperentangled photons requires collecting photon pairs simultaneously entangled in multiple degrees of freedom over relatively wide spectral and angular emission ranges. We consider the hyperentangled photons produced by superimposing noncollinear spontaneous parametric down conversion (SPDC) emissions of two crossed and coherently pumped nonlinear crystals. We present an approach for determining the directional-spectral relative-phase and time-delay maps of hyperentangled photons all over the SPDC emission cone. A vectorial representation is adopted for all parameters of concern. This enables us to examine unconventional arrangements such as the autocompensation of relative-phase and time-delay via oblique pump incidence. While prior works often adopt first-order approximation, it is shown that the actual directional relative-phase map is very well approximated by a quadratic function of the polar angle of the two-photon emission while negligibly varying with the azimuthal angle.

Citation Download Citation

Salem F. Hegazy, Yahia A. Badr, and Salah S. A. Obayya "Relative-phase and time-delay maps all over the emission cone of hyperentangled photon source," Optical Engineering 56(2), 026114 (16 February 2017). https://doi.org/10.1117/1.OE.56.2.026114

Received: 11 September 2016; Accepted: 1 February 2017; Published: 16 February 2017

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