研究目的
To study the frequency-angular characteristics of signal and idler photons in strongly nondegenerate spontaneous parametric down-conversion, accounting for absorption, thermal fluctuations, and multimode effects.
研究成果
Spatial limitation increases angular divergence of idler photons; absorption affects parametric conversion coefficients uniformly across modes; thermal and quantum fluctuations contribute differently to signal and idler outputs, with loss factors interrelated by sign change of absorption coefficient.
研究不足
The study is theoretical and does not include experimental validation; assumes low-gain approximation and specific crystal properties; neglects higher-order effects and potential experimental uncertainties.
1:Experimental Design and Method Selection:
Theoretical analysis using the generalized Kirchhoff law for nonlinear media with absorption, without paraxial approximation, to model spontaneous parametric down-conversion in a lossy crystal with a Gaussian pump beam.
2:Sample Selection and Data Sources:
No experimental samples; theoretical study based on parameters of a Mg:LiNbO3 crystal.
3:List of Experimental Equipment and Materials:
Nonlinear crystal (e.g., Mg:LiNbO3), Gaussian laser pump beam, photodetectors for signal and idler frequencies.
4:Experimental Procedures and Operational Workflow:
Solving Heisenberg equations for field operators, calculating scattering matrix elements, integrating over spatial modes to obtain photon numbers and power densities.
5:Data Analysis Methods:
Analytical solutions for scattering matrix, numerical integration for angular distributions, comparison of loss factors and contributions from thermal and quantum fluctuations.
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