Generation of different Bell states within the spontaneous parametric down-conversion phase-matching bandwidth

We theoretically investigate the effective nonlinear coefficient d eff of spontaneous parametric down-conversion (SPDC) process in biaxial nonlinear crystal BiB3O6 (BIBO). We solve the Fresnel equations in the collinear degenerate down-converted configuration, and get the relations of phase-matching angles. Considering the double phase-matching, we compute the phase-matching angles with different wavelength. Furthermore, we simplify the expression of effective nonlinear coefficient out of the principal planes, and numerically calculate it varying with the angle and wavelength. These results indicate that there are three effective phase-matching schemes for SPDC which can be used to construct a system to generate entangled photon pairs.

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Phase matching in β-barium borate crystals for spontaneous parametric down-conversion

Journal of Optics ◽

10.1088/2040-8986/ab89e4 ◽

2020 ◽

Vol 22 (8) ◽

pp. 083501

Author(s):

Suman Karan ◽

Shaurya Aarav ◽

Homanga Bharadhwaj ◽

Lavanya Taneja ◽

Arinjoy De ◽

...

Keyword(s):

Phase Matching ◽

Barium Borate ◽

Parametric Down Conversion ◽

Down Conversion

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PARAMETRIC DOWN-CONVERSION IN PHOTONIC CRYSTAL WAVEGUIDES

International Journal of Modern Physics B ◽

10.1142/s0217979206034121 ◽

2006 ◽

Vol 20 (11n13) ◽

pp. 1543-1550 ◽

Cited By ~ 5

Author(s):

GREGOR WEIHS

Keyword(s):

Photonic Crystal ◽

Photonic Crystals ◽

Phase Matching ◽

Dispersion Characteristics ◽

Photonic Crystal Waveguides ◽

High Brightness ◽

Parametric Down Conversion ◽

Matching Schemes ◽

Down Conversion ◽

Very High

Photonic crystals create dramatic new possibilities for nonlinear optics. I suggest to use defect waveguides for the production of pairs of photons in order to achieve particular dispersion characteristics and potentially very high brightness. I identify two possible phase-matching schemes and discuss their properties and advantages.

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Theoretical analysis of collinear spontaneous parametric down conversion properties in BiB3O6

Journal of Nonlinear Optical Physics & Materials ◽

10.1142/s0218863514500210 ◽

2014 ◽

Vol 23 (02) ◽

pp. 1450021

Author(s):

Meizhi Zhang ◽

Guangwen Huo

Keyword(s):

Dielectric Dispersion ◽

Phase Matching ◽

Biaxial Crystal ◽

Type I ◽

Type Ii ◽

Entangled Photons ◽

Parametric Down Conversion ◽

Effective Phase ◽

Down Conversion

In this paper, we report on the collinear spontaneous parametric down conversion (SPDC) with quantum theory in angle picture. Based on angle-dependent refractive index of biaxial crystal and the dielectric dispersion, we numerically simulate the effective nonlinear coefficients of BiB 3 O 6 (BIBO) crystal in principle planes. The results indicate that the most effective phase matching scheme is the type I in yz plane, while the secondary options are the type I, type II in xz plane. Considering the derivation of angular phase matching conditions, the calculation is convenient, and it is superior in determination of the spatial distribution of entangled photons.

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