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Journal of the Optical Society of America B

Web-deployable numerical analysis platform for non-collinear type-0 interactions in quasi-phase-matched nonlinear crystals for efficient spontaneous parametric down-conversion

Gopal Prasad Sahu, Himani Sharma, Rojalin Padhi, Kavita Devi

Published Jun 22, 2026• 0 citations
Publisher

Abstract

High-brightness correlated photon pairs at longer wavelengths are of key interest for mid-infrared quantum imaging, spectroscopy, and sensing applications. Here, we report numerically investigated optimum conditions for the generation of correlated photon pairs via the spontaneous parametric down-conversion (SPDC) process at longer wavelengths, exploiting bulk quasi-phase-matched (QPM) nonlinear crystals. Using numerical simulation within a unified numerical analysis framework, the performance of various crystals in terms of emission angles in non-collinear interaction, the spatial profile of correlated photon pairs, and the absolute gain has been evaluated. Among the crystals studied, orientation-patterned gallium arsenide has been found to demonstrate significant potential for photon pair generation in mid-infrared (IR), with high absolute gain. In line with the analysis performed, we have further developed a web-deployable numerical analysis platform for efficient SPDC in QPM nonlinear crystals under optimal conditions across near-IR to mid-IR. The findings of this work contribute to the advancement of quantum technologies by offering insights into the design and optimization of high-brightness single-photon sources from near-IR to mid-IR, while providing an interactive numerical analysis platform for the systematic investigation of phase-matching and gain characteristics.

DOI
10.1364/josab.601274

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High-brightness correlated photon pairs at longer wavelengths are of key interest for mid-infrared quantum imaging, spectroscopy, and sensing applications. Here, we report numerically investigated optimum conditions for the generation of correlated photon pairs via the spontaneous parametric down-conversion (SPDC) process at longer wavelengths, exploiting bulk quasi-phase-matched (QPM) nonlinear crystals. Using numerical simulation within a unified numerical analysis framework, the performance of various crystals in terms of emission angles in non-collinear interaction, the spatial profile of correlated photon pairs, and the absolute gain has been evaluated. Among the crystals studied, orientation-patterned gallium arsenide has been found to demonstrate significant potential for photon pair generation in mid-infrared (IR), with high absolute gain. In line with the analysis performed, we have further developed a web-deployable numerical analysis platform for efficient SPDC in QPM nonlinear crystals under optimal conditions across near-IR to mid-IR. The findings of this work contribute to the advancement of quantum technologies by offering insights into the design and optimization of high-brightness single-photon sources from near-IR to mid-IR, while providing an interactive numerical analysis platform for the systematic investigation of phase-matching and gain characteristics.
Photon pairs from spontaneous parametric down-conversion (SPDC) are important for a wide range of quantum optics experiments with spectral properties such as their bandwidths often being a crucial concern. Here we show the generic existence of particular phase-matching conditions in quasi-phase-matched KTP, MgO:LN, and SLT crystals that lead to ultra-broadband, widely nondegenerate photon pairs. It is based on the existence of group-velocity-matched, far apart wavelength pairs and, for 2 mm long crystals, results in SPDC bandwidths between 15 and 25 THz for photon pairs with the idler photon in the technologically relevant mid-IR range of 3-5 μm and the signal photon in the near-IR below 1100 nm. We experimentally demonstrate this type of broadband phase matching in ppKTP crystals for photon pairs centered at 800 and 3800 nm and measure a bandwidth of 15 THz. This novel method of generating broadband photon pairs will be highly beneficial for SPDC-based imaging, spectroscopy, refractometry, and optical coherence tomography with undetected mid-IR photons.
Abstract We report the generation of highly non-degenerate spontaneous parametric down conversion (SPDC) in a novel mid-infrared nonlinear crystal BaGa 2 GeS 6 , and provide a direct experimental comparison with the widely used AgGaS 2 crystal. Using a continuous-wave near-infrared (near-IR) pump laser, we generate correlated photon pairs with signal wavelengths in the near-IR ∼815–900 nm and idler wavelengths extending deep into the mid-infrared (mid-IR) up to 22–24 µ m. Wavelength-angular SPDC spectra are measured for both crystals under identical experimental conditions and analyzed using available dispersion data. Our results demonstrate, for the first time, the efficient generation of correlated photon pairs in BaGa 2 GeS 6 via SPDC. A quantitative comparison shows that BaGa 2 GeS 6 exhibits approximately twice the nonlinear conversion efficiency of AgGaS 2 , which is in good agreement with values reported in the literature. In addition, BaGa 2 GeS 6 produces a narrower external SPDC emission cone due to its lower refractive indices, which is advantageous for photon collection and nonlinear interferometric applications. Due to its large effective second-order nonlinearity and broad mid-IR transparency BaGa 2 GeS 6 emerges as a highly promising platform for bright and stable sources of correlated photon pairs. These results establish BaGa 2 GeS 6 as a strong candidate for mid-IR quantum spectroscopy, imaging, and gas-sensing applications.
Abstract The nonlinear process of spontaneous parametric down-conversion in the silver-gallium-sulfide crystal can generate highly non-degenerate photon pairs in near-infrared and mid-infrared spectral ranges. In this work, we demonstrate and characterize the tunable mid-infrared photon source in silver-gallium-sulfide. By angle tuning the phase matching condition of the nonlinear crystal, we can tune the wavelength of the generated photons in mid-infrared from 5.661 to 10.885 μm (from 1766 to 919 cm −1 ), while the correlated photons in the near-infrared are from 747.1 to 702.6 nm. The phase matching curve and the frequency-angular spectrum of mid-infrared photons were experimentally validated by measuring the properties of near-infrared photons. The brightness of the photon pair source was found to be (29.2± 1.1) MHzmW\frac{\text{MHz}}{\text{mW}}mWMHz​ in the low-gain regime, exceeding the values reported in previous studies using silver-gallium-sulfide crystals. The wide tunability of the photon source in the mid-infrared range is important for hyperspectral imaging and sensing, and it is of significant interest for biomedical, chemical, and environmental applications.
For advanced quantum information technology, sources of photon pairs in quantum mechanically factorable states are of great importance for realizing high-fidelity photon-photon quantum gate operations. Here we experimentally demonstrate a technique to produce spectrally factorable photon pairs utilizing multi-order quasi-phase-matching (QPM) conditions in spontaneous parametric downconversion (SPDC). In our scheme, a spatial nonlinearity profile of a nonlinear optical crystal is shaped with current standard poling techniques, and the associated phase-matching function can be approximated to a Gaussian form. By the measurement of a phase-matching function and the second-order autocorrelation function, we demonstrate that telecom-band photon pairs produced by our custom-poled crystal are highly factorable with > 95% single-photon purity.
Photon sources based on spontaneous parametric down-conversion (SPDC) are central to experimental quantum optics and quantum technologies. Their performance is commonly quantified by three metrics: pair-collection probability, heralding efficiency, and spectral purity. In bulk-crystal SPDC, these metrics are known to be mutually constrained, yet the physical origin of the resulting trade-offs is often obscured. We show that these trade-offs originate from the frequency-dependent population of discrete spatial modes in the SPDC emission. By performing a Laguerre-Gauss mode decomposition at each frequency component, we show how spectral-spatial non-separability impacts collection probability, heralding efficiency, and purity. We apply this framework to two widely used quasi-phase-matching configurations: collinear degenerate type-0 and type-II SPDC in periodically poled bulk crystals, and quantify how different phase-matching functions shape the spectral-spatial mode structure. In particular, for type-II SPDC we compare standard periodically poled and aperiodically poled Gaussian phase matching. We experimentally validate some of our theoretical results using spatial- and spectral-projection measurements. This spectral-spatial mode analysis provides a quantitative and predictive framework for understanding and engineering bulk-crystal photon sources, enabling systematic multi-parameter optimization beyond qualitative design guidelines.
Single-photon creation through parametric downconversion underpins quantum technology for quantum sensing and imaging. Here we numerically study the creation of single photons in the near- and mid-infrared regime from 1.5 - 12 um in a range of novel nonlinear semiconductor and chalcopyrite materials. We identify phase-matching conditions and single out regimes in which group-velocity matching can be achieved with commercially available pump lasers. Finally, we discuss how mid-infrared single photons can be detected. Using our numerical results, we identify materials and pump lasers for up-conversion detection in conventional wavelength bands. Our study provides a complete recipe for mid-IR single-photon generation and detection, opening up quantum enhancements for mid-IR applications such as bio-medical imaging, communication, and remote sensing.