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Mathematical Methods in the Applied Sciences
Article . 2014 . Peer-reviewed
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Article . 2015
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https://dx.doi.org/10.48550/ar...
Article . 2016
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On the geometry of spatial biphoton correlation in spontaneous parametric down conversion

Authors: Procopio, L. M.; Rosas-Ortiz, O.; Velázquez, V.;

On the geometry of spatial biphoton correlation in spontaneous parametric down conversion

Abstract

Analytical expressions are derived for the distribution rates of spatial coincidences in the counting of photons produced by spontaneous parametric down conversion. Gaussian profiles are assumed for the wave function of the idler and signal light created in type‐I spontaneous parametric down conversion. The distribution rates describe ellipses on the detection planes that are oriented at different angles according to the photon coincidences in either horizontal–horizontal, vertical–vertical, horizontal–vertical, or vertical–horizontal position variables. The predictions are in agreement with the experimental data obtained with a type‐I beta‐barium borate crystal that is illuminated by a 100‐mW violet pump laser as well as with the results obtained from the geometry defined by the phase‐matching conditions. Copyright © 2014 John Wiley & Sons, Ltd.

Keywords

Quantum optics, Quantum Physics, Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics), Applications of operator theory in the physical sciences, quantum machanics, spontaneous parametric down conversion, FOS: Physical sciences, spatial correlation of photons, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Quantum Physics (quant-ph), PDEs in connection with optics and electromagnetic theory, PDEs in connection with quantum mechanics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Average
Green
bronze