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Universal loss and gain characterization inside photonic integrated circuits

Abstract

Integrated photonics has undergone tremendous development in the past few decades. Loss and gain are two fundamental parameters in photonic integrated circuits (PICs) and have direct impacts on nearly all key performance metrics. Surprisingly, the tools to characterize the optical loss and gain inside PICs are very limited. This is because, unlike free-space or fibre optics, integrated circuits cannot be non-destructively disassembled. Here we report a universal method to see inside the PICs and measure loss and gain on the component level non-destructively. The method leverages nonlinear optical devices as optical power discriminators to retrieve the loss and gain information. Our method has a precision better than 0.1 dB and can characterize the loss of individual fibre–chip coupling facets as well as general unknown devices under test. As an application, we measured the true on-chip quantum efficiency of a quantum PIC consisting of heterogeneously integrated balanced photodiodes, a critical building block for integrated quantum technology. Our non-destructive and highly precise method can be implemented on different photonic platforms to understand gain and loss in complex photonic circuits, which is essential to optimize circuit design and to create large-scale systems with predictable, reproducible performance.

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Fig. 1: Illustration of universal loss and gain measurement method for PICs.
Fig. 2: Validation of the loss and gain measurement method.
Fig. 3: Measurement of on-chip efficiency of a quantum photonic circuit using thermo-optic nonlinearity.

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Data availability

The data that support the plots within this Article and other findings of this study are available via Figshare at https://doi.org/10.6084/m9.figshare.30526868 (ref. 45).

Code availability

The codes that support the findings of this study are available from the corresponding authors upon reasonable request.

References

  1. Rüter, C. E. et al. Observation of parity–time symmetry in optics. Nat. Phys. 6, 192–195 (2010).

    Article  Google Scholar 

  2. El-Ganainy, R. et al. Non-hermitian physics and pt symmetry. Nat. Phys. 14, 11–19 (2018).

    Article  Google Scholar 

  3. Boyd, R. W. Nonlinear Optics 3rd edn (Academic Press, 2008).

  4. Vahlbruch, H., Mehmet, M., Danzmann, K. & Schnabel, R. Detection of 15 dB squeezed states of light and their application for the absolute calibration of photoelectric quantum efficiency. Phys. Rev. Lett. 117, 110801 (2016).

    Article  ADS  Google Scholar 

  5. Andersen, U. L., Gehring, T., Marquardt, C. & Leuchs, G. 30 years of squeezed light generation. Phys. Scripta 91, 053001 (2016).

    Article  ADS  Google Scholar 

  6. Takeda, S. & Furusawa, A. Toward large-scale fault-tolerant universal photonic quantum computing. APL Photonics 4, 060902 (2019).

    Article  ADS  Google Scholar 

  7. Wang, J., Sciarrino, F., Laing, A. & Thompson, M. G. Integrated photonic quantum technologies. Nat. Photonics 14, 273–284 (2020).

    Article  ADS  Google Scholar 

  8. Zhong, H.-S. et al. Quantum computational advantage using photons. Science 370, 1460–1463 (2020).

    Article  ADS  Google Scholar 

  9. Pirandola, S., Eisert, J., Weedbrook, C., Furusawa, A. & Braunstein, S. L. Advances in quantum teleportation. Nat. Photonics 9, 641–652 (2015).

    Article  ADS  Google Scholar 

  10. Tse, M. et al. Quantum-enhanced advanced ligo detectors in the era of gravitational-wave astronomy. Phys. Rev. Lett. 123, 231107 (2019).

    Article  ADS  Google Scholar 

  11. Casacio, C. A. et al. Quantum-enhanced nonlinear microscopy. Nature 594, 201–206 (2021).

    Article  ADS  Google Scholar 

  12. Xiang, C., Bowers, S. M., Bjorlin, A., Blum, R. & Bowers, J. E. Perspective on the future of silicon photonics and electronics. Appl. Phys. Lett. 118, 220501 (2021).

    Article  Google Scholar 

  13. Barfuss, H. & Brinkmeyer, E. Modified optical frequency domain reflectometry with high spatial resolution for components of integrated optic systems. J. Lightwave Technol. 7, 3–10 (1989).

    Article  ADS  Google Scholar 

  14. Soller, B. J., Gifford, D. K., Wolfe, M. S. & Froggatt, M. E. High resolution optical frequency domain reflectometry for characterization of components and assemblies. Opt. Express 13, 666–674 (2005).

    Article  ADS  Google Scholar 

  15. Bauters, J. F. et al. Ultra-low-loss high-aspect-ratio Si3N4 waveguides. Opt. Express 19, 3163–3174 (2011).

    Article  ADS  Google Scholar 

  16. Bauters, J. F. et al. Planar waveguides with less than 0.1 dB/m propagation loss fabricated with wafer bonding. Opt. Express 19, 24090–24101 (2011).

    Article  ADS  Google Scholar 

  17. Lee, H., Chen, T., Li, J., Painter, O. & Vahala, K. J. Ultra-low-loss optical delay line on a silicon chip. Nat. Commun. 3, 867 (2012).

    Article  ADS  Google Scholar 

  18. Kippenberg, T., Spillane, S. & Vahala, K. Kerr-nonlinearity optical parametric oscillation in an ultrahigh-Q toroid microcavity. Phys. Rev. Lett. 93, 083904 (2004).

    Article  ADS  Google Scholar 

  19. Carmon, T., Yang, L. & Vahala, K. Dynamical thermal behavior and thermal self-stability of microcavities. Opt. Express 12, 4742–4750 (2004).

    Article  ADS  Google Scholar 

  20. Iadanza, S. et al. Model of thermo-optic nonlinear dynamics of photonic crystal cavities. Phys. Rev. B 102, 245404 (2020).

    Article  ADS  Google Scholar 

  21. Clementi, M. et al. Thermo-optically induced transparency on a photonic chip. Light Sci. Appl. 10, 240 (2021).

    Article  ADS  Google Scholar 

  22. Del’Haye, P. et al. Optical frequency comb generation from a monolithic microresonator. Nature 450, 1214–1217 (2007).

    Article  ADS  Google Scholar 

  23. Kippenberg, T. J., Holzwarth, R. & Diddams, S. Microresonator-based optical frequency combs. Science 332, 555–559 (2011).

    Article  ADS  Google Scholar 

  24. Herr, T. et al. Temporal solitons in optical microresonators. Nat. Photonics 8, 145–152 (2014).

    Article  ADS  Google Scholar 

  25. Gaeta, A. L., Lipson, M. & Kippenberg, T. J. Photonic-chip-based frequency combs. Nat. Photonics 13, 158–169 (2019).

    Article  ADS  Google Scholar 

  26. Herr, T. et al. Universal formation dynamics and noise of Kerr-frequency combs in microresonators. Nat. Photonics 6, 480–487 (2012).

    Article  ADS  Google Scholar 

  27. Briegel, H. J., Browne, D. E., Dür, W., Raussendorf, R. & Van den Nest, M. Measurement-based quantum computation. Nat. Phys. 5, 19–26 (2009).

    Article  Google Scholar 

  28. O’brien, J. L. Optical quantum computing. Science 318, 1567–1570 (2007).

    Article  ADS  Google Scholar 

  29. Dutt, A. et al. On-chip optical squeezing. Phys. Rev. Appl. 3, 044005 (2015).

    Article  ADS  Google Scholar 

  30. Reimer, C. et al. Generation of multiphoton entangled quantum states by means of integrated frequency combs. Science 351, 1176–1180 (2016).

    Article  ADS  Google Scholar 

  31. Vaidya, V. D. et al. Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device. Sci. Adv. 6, eaba9186 (2020).

    Article  ADS  Google Scholar 

  32. Zhao, Y. et al. Near-degenerate quadrature-squeezed vacuum generation on a silicon-nitride chip. Phys. Rev. Lett. 124, 193601 (2020).

    Article  ADS  Google Scholar 

  33. Yang, Z. et al. A squeezed quantum microcomb on a chip. Nat. Commun. 12, 4781 (2021).

    Article  ADS  Google Scholar 

  34. Jahanbozorgi, M. et al. Generation of squeezed quantum microcombs with silicon nitride integrated photonic circuits. Optica 10, 1100–1101 (2023).

    Article  ADS  Google Scholar 

  35. Yu, Q. et al. Heterogeneous photodiodes on silicon nitride waveguides. Opt. Express 28, 14824–14830 (2020).

    Article  ADS  Google Scholar 

  36. Gao, J. et al. Heterogeneous integration of a high-speed photodiode with microcavity solitons for on-chip mmwave generation. Optica 12, 465–468 (2025).

    Article  ADS  Google Scholar 

  37. Ji, X. et al. Ultra-low-loss on-chip resonators with sub-milliwatt parametric oscillation threshold. Optica 4, 619–624 (2017).

    Article  ADS  Google Scholar 

  38. Lu, J. et al. Ultralow-threshold thin-film lithium niobate optical parametric oscillator. Optica 8, 539–544 (2021).

    Article  ADS  Google Scholar 

  39. Tokushima, M. & Ushida, J. Demonstration of in-depth analysis of silicon photonics circuits using OFDR: waveguides with grating couplers. Opt. Lett. 47, 162–165 (2021).

    Article  ADS  Google Scholar 

  40. Zhang, M., Wang, C., Cheng, R., Shams-Ansari, A. & Lončar, M. Monolithic ultra-high-Q lithium niobate microring resonator. Optica 4, 1536–1537 (2017).

    Article  ADS  Google Scholar 

  41. Wang, C. et al. Ultrahigh-efficiency wavelength conversion in nanophotonic periodically poled lithium niobate waveguides. Optica 5, 1438–1441 (2018).

    Article  ADS  Google Scholar 

  42. Lu, J. et al. Periodically poled thin-film lithium niobate microring resonators with a second-harmonic generation efficiency of 250,000%/w. Optica 6, 1455–1460 (2019).

    Article  ADS  Google Scholar 

  43. Pfeiffer, M. H. et al. Photonic damascene process for integrated high-Q microresonator based nonlinear photonics. Optica 3, 20–25 (2016).

    Article  ADS  Google Scholar 

  44. Liu, J. et al. High-yield, wafer-scale fabrication of ultralow-loss, dispersion-engineered silicon nitride photonic circuits. Nat. Commun. 12, 2236 (2021).

    Article  ADS  Google Scholar 

  45. Chen, H. et al. Raw data for "Universal loss and gain characterization inside photonic integrated circuits". Figshare https://doi.org/10.6084/m9.figshare.30526868 (2025).

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Acknowledgements

We acknowledge Ligentec for SiN microresonator fabrication and gratefully acknowledge DARPA INSPIRED (HR0011-24-2-0360), DARPA GRYPHON (HR0011-22-2-0008), DARPA NaPSAC (N660012424000), National Science Foundation (1842641, 2238096), DOE (DE-SC0023337) and QC82 Inc. The views and conclusions contained in this document are those of the authors and should not be interpreted as representing official policies of DARPA, DOE or the US Government.

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X.Y. conceived the concept of the experiments. H.C., R.L. and G.Y.K. performed the measurements. F.T., X.G. and A.B. designed and fabricated the integrated photodiodes. G.Y.K., R.L., H.C., Z.Y., S.S. and B.W. designed the PICs. H.C., R.L., G.Y.K. and X.Y. analysed the experimental results. X.Y. supervised the experiments. All authors participated in preparing the manuscript.

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Correspondence to Xu Yi.

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Nature Photonics thanks Simone Iadanza and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. Peer reviewer reports are available.

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Chen, H., Liu, R., Koehler, G.Y. et al. Universal loss and gain characterization inside photonic integrated circuits. Nat. Photon. (2026). https://doi.org/10.1038/s41566-025-01837-4

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