Type I parametric down conversion of highly focused Gaussian beams in finite length crystals
arXiv:1405.2959 · doi:10.1088/2040-8978/16/6/065201
Abstract
We study the correlations in wave vector space of photon pairs generated by type I spontaneous parametric down conversion using a Gaussian pump beam. We analyze both moderate focused and highly focused regimes taking special attention to the angular spectrum and the conditional angular spectrum. Simple analytic expressions are derived that allow us to study in detail the dependence of these spectra on the waist of the source and the length of the nonlinear crystal. These expressions are in good agreement with numerical expectations and reported experimental results. They are used to make a systematic search of optimization parameters that improve the feasibility of using highly focused Gaussian beams to generate idler and signal photons with predetermined mean values and spread of their transverse wave vectors.
arXiv commentaccepted for publication in Journal of Optics (jopt). 8 pages 6 figures
References in corpus (12)
- Spatial correlations in parametric down-conversion
- Entanglement and conservation of orbital angular momentum in spontaneous parametric down-conversion
- Effective fiber-coupling of entangled photons for quantum communication
- Optimal focusing for maximal collection of entangled narrow-band photon pairs into single-mode fibers
- Anisotropically high entanglement of biphotons generated in spontaneous parametric down conversion
- Hybrid photonic entanglement: Realization, characterization and applications
- Modelling and optimization of photon pair sources based on spontaneous parametric down-conversion
- Effects of crystal length on the angular spectrum of spontaneous parametric downconversion photon pairs
- Efficient fiber coupling of down-conversion photon pairs
- Optimal coupling of entangled photons into single-mode optical fibers
- Bi-photon propagation control with optimized wavefront by means of Adaptive Optics
- Transverse spatial and frequency properties of two-photon states generated by spontaneous parametric down-conversion
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