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Heterogeneous sapphire-supported low-loss photonics platform

Yubo Wang\authormark1    Yu Guo\authormark1    Yiyu Zhou\authormark1    Hao Xie\authormark1    and Hong X. Tang\authormark1 \authormark1Department of Electrical Engineering, Yale University, New Haven, CT 06520, USA \authormark*[email protected]
Abstract

Sapphire is a promising wideband substrate material for visible photonics. It is a common growth substrate for III-nitride light-emitting diodes and laser structures. Doped sapphires are important gain media foundational to the development of titanium-sapphire and ruby lasers. For lasers operating at visible and near-infrared wavelengths, a photonic platform that minimizes loss while maximizing gain material overlap is crucial. Here, we introduce a novel low-loss waveguiding strategy that establishes high-performance integrated photonics on sapphire substrates. This platform achieves a high intrinsic quality factor of 5.6 million near 780 nm and features direct compatibility with a range of solid-state laser gain media.

journal: oearticletype: Research Article

1 Introduction

Silicon photonics has gained significant success across various areas due to its ability to support high-density integration and its compatibility with silicon microelectronics fabrication processes, with its application in the telecom sector at the 1.5-μ\mum wavelength serving as a prime example. Sapphire is considered an important wide bandgap material in photonics and is acclaimed for its use as important gain media such as titanium-doped sapphire and ruby, in addition to being a preferred substrate for blue semiconductor devices like gallium nitride emitters. The advent of visible photonic integrated circuits (PICs) is set to transform fields like quantum metrology[1], optical sensing[2, 3, 4], and consumer display optics, driven by progress in integrating visible to near-infrared (near-IR) lasers through both heterogeneous[5] and hybrid integration techniques[6, 7]. The landscape of platforms for visible wavelengths encompasses silicon-supported silicon nitride[8, 9, 10, 11, 12, 13, 14, 15], alumina[16, 17], and lithium niobate[18, 19]. Notably, on sapphire substrates, III-Nitride materials such as aluminum nitride and gallium nitride have exhibited remarkably low losses, reaching down to 5.3 dB/cm in the visible[20] and 8 dB/cm in the UV bands[21].

While a wide range of photonics platforms has been developed, there remains a notable gap in the capabilities of existing platforms for certain applications, such as heterogeneous laser integration and on-chip sensing[22], where a significant overlap with cladding is essential. High-confinement platforms, which contain most of the optical field within the waveguide, face challenges in achieving sufficient modal overlap with the gain material when integrated heterogeneously. On the other hand, low-confinement platforms like thin core silicon nitride[23, 24, 25, 26] and tantala[27], offer ultralow optical losses and notable cladding overlap, however require large bending radii, which can range from millimeters to centimeters. This affects radiation loss and device compactness, often necessitating reliance on foundry-based manufacturing processes. Additionally, the capabilities and potential applications of sapphire-based platforms have yet to be fully explored.

In this study, we demonstrate low-loss waveguides on sapphire substrates that effectively mitigate the trade-off between minimizing radiation loss and maximizing modal overlap, thus achieving a notably compact design. We achieved a quality factor of 5.6 million at near-visible wavelengths and substantial modal overlap with the top cladding of up to 35%. This integrated circuit platform is scalable to shorter wavelengths[28], capable of integrating additional functionalities such as thermal tuning elements, thus particularly well-suited for integrating sapphire-based solid-state lasers and the heterogeneous integration of III-N emitters[29, 30].

Refer to caption
Figure 1: (a) Schematic illustration of the proposed sapphire sandwich waveguide geometry. (b) Simulated top cladding overlap factor for the sapphire-based waveguide, where the waveguide width is 3 µm. (c) The waveguide bending loss as a function of the bending radius in three geometries: 3 μ\upmum×\,\times\,150 nm, 3 μ\upmum×\,\times\,100 nm, and 5 μ\upmum×\,\times\,50 nm. The insets show typical TE mode profiles corresponding to the three geometries at bending radii of 200 μ\upmum, 400 μ\upmum, and 800 μ\upmum, from top to bottom, respectively. Arrow direction and length represent the local electric field’s direction and strength, respectively.

2 Design and Fabrication

The waveguide discussed in this manuscript is composed of three layers: a bottom sapphire substrate, a silicon nitride (SiN) waveguide core, and a top sapphire cladding, as depicted in Figure 1(a). Among various design considerations for creating low-loss waveguides, selecting the appropriate thickness for the waveguide core is paramount. A thinner core can reduce scattering losses due to decreased modal confinement, albeit at the cost of a larger bending radius, which in turn, reduces the potential for high-density integration. Figure 1(b) illustrates the variation of the overlap factor with the top cladding across different waveguide thicknesses. The overlap factor is defined as Γclad=12ϵ0μ0Acladnclad|E|2𝑑AASz𝑑A\Gamma_{\text{clad}}=\frac{1}{2}\sqrt{\frac{\epsilon_{0}}{\mu_{0}}}\frac{\int_{A_{\text{clad}}}n_{\text{clad}}|E|^{2}\,dA}{\int_{A}\langle S_{z}\rangle\,dA}, where ϵ0\epsilon_{0},μ0\mu_{0} are the vacuum permittivity and vacuum permeability, ncladn_{\text{clad}} is the refractive index of the cladding, Sz\langle S_{z}\rangle is the average Poynting vector, AcladA_{\text{clad}} and AA are the cladding integration and overall integration area. A thickness of 50 nm achieves an overlap factor of up to 46%, fostering significant optical-ion interactions when the top cladding is doped. However, this benefit comes at a cost: thinner SiN waveguides incur higher bending losses. Figure 1(c) presents the simulated bending losses for waveguides of three thicknesses—50 nm, 100 nm, and 150 nm—with widths of 5 μ\upmum for the 50 nm thickness and 3 μ\upmum for the 100 nm and 150 nm thicknesses, specifically for the fundamental TE mode. Considering the limitations of the typical electron beam (ebeam) writing field of 1mm by 1mm for resonator fabrication, we selected a waveguide thickness of 100 nm for subsequent device fabrication.

Refer to caption
Figure 2: (a) Process flow for sapphire-based waveguide device fabrication, which includes steps from low-pressure chemical vapor deposition (LPCVD) of silicon nitride (SiN), etching of waveguides, bonding of the top sapphire layer, and the deposition of silicon oxynitride (SiON). (b) Atomic force microscopy image illustrating the sapphire substrate utilized for SiN growth, exhibiting a roughness average (Ra) of 0.10 nm. (c) Microscopic image of a microring resonator. (d) Optical image of the final device, scale bar 3 mm.

The fabrication sequence is outlined in Figure 2(a). The process begins with depositing a 100 nm thick layer of stoichiometric silicon nitride via low-pressure chemical vapor deposition (LPCVD) onto a sapphire substrate by Rogue Valley Microdevices. Due to the optical mode’s intensive interaction with the waveguide’s top and bottom boundaries, a highly polished sapphire, as evidenced by the atomic force microscopy image in Figure 2(b), is employed, achieving a surface roughness average (Ra) of 0.10 nm. Similarly, the top surface of the deposited SiN film exhibits a roughness of 0.13 nm. The waveguide pattern is defined by hydrogen silsesquioxane (HSQ) ebeam resist using a Raith EBPG 5200+ electron beam lithography system with a three-pass exposure process with offset in both x and y axis. To counteract the charge build-up from the sapphire’s insulating properties during electron beam lithography, a water-soluble polymer poly(4-styrenesulfonic acid) (PSSA) (300 nm) is applied, followed by 8 nm gold deposition. The pattern is then etched into the SiN waveguide using a fluorine-based plasma, augmented with an increased oxygen flow to remove fluoride-carbon polymer residues on the sidewalls[31]. The etching mask is subsequently removed using a buffered oxide etch, and the resultant device is shown in Figure 2(c). Next, the surfaces of both the PIC and the top sapphire piece are cleaned using RCA cleaning, followed by treatment with piranha solution. The top sapphire piece, approximately 5 mm by 5 mm in size, and the PIC surfaces are activated via oxygen plasma before being directly bonded. Silicon oxynitride, deposited via plasma-enhanced chemical vapor deposition around the non-bonded areas, serves as the top cladding with a refractive index matched to the sapphire at a visible wavelength of 780 nm. The final device is cleaved to expose facets along the sapphire’s m-plane, with Figure 2(d) showcasing the completed chip, which houses 16 ring resonators within the bonded area.

Refer to caption
Figure 3: (a) Transmission spectrum of a microring resonator, obtained through tuning a laser across the wavelength range of 769 nm to 781 nm. (b, c) Zoom-in of the optical resonances at 769.874 nm and 771.902 nm, respectively, each measuring intrinsic quality (Q) factors of 5.6 million and 4.6 million. (d) Distribution of the intrinsic Q-factor across the near-visible spectrum.

3 Results

We characterize the optical loss of SiN PICs by analyzing the optical resonances at visible wavelengths, as depicted in Figure 3(a). A tunable laser (Newport TLB 6712-P) couples light into and out of the SiN chips via lensed fibers and inverse tapers with less than 2.5 dB per waveguide facet. The transmitted light is launched into a power meter (HP81530A) and linked to a DAQ. The design of the ring resonator utilizes a point-coupling approach to mitigate loss in the coupling region. We observed a larger variability in resonance extinction at short wavelength, which might be attributed to coupled Fabry–Pérot cavity effects involving the bonded crystal interface and the chip facet.

Refer to caption
Figure 4: (a) Measurement setup for evaluating resonance quality factor through optical side-band modulation. FPC: fiber polarization controller, PD: photodetector. (b) Resonance profile prior to applying the microwave drive. (c) The resonance from (b) under the influence of an 800 MHz microwave drive on the phase modulator, with a drive power of 20 dBm. (d) Calibrated resonance profile with a derived intrinsic quality factor of 4.3 million and a loaded quality factor of 2.5 million.
Platform Wavelength (nm) Quality factor Loss (dB/cm) Year Ref
SiN on Sapphire 780 5.6M 0.12 2024 This work
SiN on Sapphire 780 1.5M 0.4 2023 [28]
AlN on Sapphire 638 170k 5.3 2018 [20]
AlN on Sapphire 369.5 20k 75 2018 [20]
AlN on Sapphire 390 210k 8 2018 [21]
AlN on Sapphire 1550 2.8M 0.13 2019 [32]
GaN/AlN on Sapphire 1560 411k - 2024 [33]
GaN on Sapphire 1550 100k - 2019 [34]
GaN on Sapphire 1550 2.5M 0.17 2022 [35]
AlGaAs on Sapphire 1543 460k 1.2 2019 [36]
LN on Sapphire 1550 1.7M 0.2 2021 [37]
Silicon on Sapphire 4500 - 4.3 2010 [38]
Table 1: Performance comparison of photonic waveguides on sapphire-supported platforms

The quality factor of the resonances is calculated using the equation Q=ω/κQ=\omega/\kappa, where ω\omega and κ\kappa represent the optical frequency and the loss rate of the resonance, respectively. The mode’s polarization is adjusted to TE00, which is the fundamental transverse-electric mode of the 400-μ\mum radius microresonators. Figures 3(b,c) display typical TE00 mode resonances fitted with a Lorentzian curve, with the loaded quality factors fitted to be 3.8 million and 2.9 million respectively. The extinction ratios for these resonances, reflecting the under-coupling condition (κ0>κex\kappa_{0}>\kappa_{\mathrm{ex}}), are 8.95 dB and 11.6 dB, respectively. The formula used to calculate the intrinsic quality factor, QintQ_{\mathrm{int}}, from the loaded quality factor is shown below:

Qint=2Qloaded1±T0Q_{\mathrm{int}}=\frac{2Q_{\mathrm{loaded}}}{1\pm\sqrt{T_{0}}}

where T0T_{0} is the extinction ratio converted from decibels to a linear scale. The calculated intrinsic quality factors are 5.6 million for Figure 3(b) and 4.6 million for Figure 3(c), respectively. Based on the Q measurements, the lowest propagation loss of the current ring resonator is derived to be 0.12 dB/cm at 769.874 nm, utilizing the formula α=4.343×2πngQintλ\alpha=4.343\times\frac{2\pi n_{g}}{Q_{\mathrm{int}}\lambda}, where ng=c2πRringFSRn_{g}=\frac{c}{2\pi R_{\mathrm{ring}}\cdot\mathrm{FSR}} is the group refractive index. The propagation losses here show a significant reduction compared to those measured in our previous publication[28]. This improvement is attributed to two key factors: the lower surface roughness of both the sapphire substrate and the cladding, and a decrease in the waveguide thickness from 150 nm to 100 nm, which results in a weaker optical mode confinement. Figure 3(d) shows a histogram of intrinsic quality factors for all fitted resonances, with a mean of 3.2 million. The extinction ratios from shorter to longer wavelengths initially increase and then decrease. To ensure accuracy without overestimating the intrinsic quality factors, we converted all measurements under the assumption of under-coupling. However, it is noted that at longer wavelengths, the intrinsic QQ may be higher due to the over-coupling condition.

To accurately estimate the cavity quality factor, an electro-optic modulator (EOM) is used to generate optical sidebands, serving as frequency rulers[39, 40]. Figure 4(a) shows the experimental setup, where a fiber-coupled phase modulator, driven by an RF source, generates a sinusoidally phase-modulated signal on the probe laser, producing sidebands in the frequency domain. The distance of these sidebands from the original signal offers a scale for calibrating the frequency’s x-axis. Initially, a resonance was measured with phase modulation “off”, as shown in Figure 4(b). Subsequently, as depicted in Figure 4(c), two 1.6 GHz apart dips appear in the transmission spectrum, after introducing RF modulation at an 800 MHz frequency via the fiber-coupled EOM (AZ-OK5-20-PFA-PFA-UL). Utilizing these sidebands as reference points, as shown in Figure 4(d), the x-axis is calibrated, the linewidth ascertained, and the Q values calculated in the original resonance without the microwave drive. Through this calibrated method, we arrive at an RF-calibrated intrinsic Q value of 4.3 million, which is in close agreement with the previously established intrinsic Q value of 4.2 million.

Table 1 compares recent advancements in sapphire-based photonic platforms across various wavelengths, featuring AlN on sapphire[20, 21, 32], GaN on sapphire[33, 34, 35], LN on sapphire[37], AlGaAs on sapphire[36],and silicon on sapphire[38]. As shown in Table 1, our SiN on sapphire platform exhibits the highest intrinsic quality factor at 5.6 million and the lowest propagation loss at 0.12 dB/cm.

4 Conclusions

In summary, we demonstrate high-quality, visible wavelength band ring resonators featuring low-loss SiN waveguide cores, achieving an exceptional intrinsic quality factor of 5.6 million and a 35% overlap factor with the top cladding. This sapphire-based approach marks a significant advance in the field of low-loss visible photonics, effectively closing a crucial gap in integration capabilities and facilitating the creation of compact, high-efficiency devices for visible photonics.

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Funding Defense Advanced Research Projects Agency (HR0011-20-2-0045).

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Acknowledgments The authors thank Michael Rooks, Yong Sun, Lauren McCabe, and Kelly Woods for their support in the cleanroom and assistance in device fabrication.

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Disclosures The authors declare no conflicts of interest.

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Data availability Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

References

  • [1] R. J. Niffenegger, J. Stuart, C. Sorace-Agaskar, D. Kharas, S. Bramhavar, C. D. Bruzewicz, W. Loh, R. T. Maxson, R. McConnell, D. Reens, G. N. West, J. M. Sage, and J. Chiaverini, “Integrated multi-wavelength control of an ion qubit,” \JournalTitleNature 586, 538–542 (2020).
  • [2] C. L. Degen, F. Reinhard, and P. Cappellaro, “Quantum sensing,” \JournalTitleRev. Mod. Phys. 89, 035002 (2017).
  • [3] A. Mohanty, Q. Li, M. A. Tadayon, S. P. Roberts, G. R. Bhatt, E. Shim, X. Ji, J. Cardenas, S. A. Miller, A. Kepecs et al., “Reconfigurable nanophotonic silicon probes for sub-millisecond deep-brain optical stimulation,” \JournalTitleNat. Biomed. Eng 4, 223–231 (2020).
  • [4] R. Singh, Z. Wang, C. Marques, R. Min, B. Zhang, and S. Kumar, “Alanine aminotransferase detection using TIT assisted four tapered fiber structure-based LSPR sensor: From healthcare to marine life,” \JournalTitleBiosensors and Bioelectronics 236, 115424 (2023).
  • [5] M. A. Tran, C. Zhang, T. J. Morin, L. Chang, S. Barik, Z. Yuan, W. Lee, G. Kim, A. Malik, Z. Zhang et al., “Extending the spectrum of fully integrated photonics to submicrometre wavelengths,” \JournalTitleNature 610, 54–60 (2022).
  • [6] A. Siddharth, T. Wunderer, G. Lihachev, A. S. Voloshin, C. Haller, R. N. Wang, M. Teepe, Z. Yang, J. Liu, J. Riemensberger et al., “Near ultraviolet photonic integrated lasers based on silicon nitride,” \JournalTitleAPL Photonics 7, 046108 (2022).
  • [7] C. A. Franken, A. van Rees, L. V. Winkler, Y. Fan, D. Geskus, R. Dekker, D. H. Geuzebroek, C. Fallnich, P. J. van der Slot, and K.-J. Boller, “Hybrid-integrated diode laser in the visible spectral range,” \JournalTitleOptics Letters 46, 4904–4907 (2021).
  • [8] M. Sanna, A. Baldazzi, G. Piccoli, S. Azzini, M. Ghulinyan, and L. Pavesi, “SiN integrated photonic components in the visible to near-infrared spectral region,” \JournalTitleOptics Express 32, 9081–9094 (2024).
  • [9] J. K. Poon, A. Govdeli, A. Sharma, X. Mu, F.-D. Chen, T. Xue, and T. Liu, “Silicon photonics for the visible and near-infrared spectrum,” \JournalTitleAdvances in Optics and Photonics 16, 1–59 (2024).
  • [10] M. Corato-Zanarella, X. Ji, A. Mohanty, and M. Lipson, “Absorption and scattering limits of silicon nitride integrated photonics in the visible spectrum,” \JournalTitleOptics Express 32, 5718–5728 (2024).
  • [11] Z. Ye, H. Jia, Z. Huang, C. Shen, J. Long, B. Shi, Y.-H. Luo, L. Gao, W. Sun, H. Guo et al., “Foundry manufacturing of tight-confinement, dispersion-engineered, ultralow-loss silicon nitride photonic integrated circuits,” \JournalTitlePhotonics Research 11, 558–568 (2023).
  • [12] C. Xiang, W. Jin, and J. E. Bowers, “Silicon nitride passive and active photonic integrated circuits: trends and prospects,” \JournalTitlePhotonics Research 10, A82–A96 (2022).
  • [13] M. Sinclair, K. Gallacher, M. Sorel, J. C. Bayley, E. McBrearty, R. W. Millar, S. Hild, and D. J. Paul, “1.4 million Q factor Si3N4 micro-ring resonator at 780 nm wavelength for chip-scale atomic systems,” \JournalTitleOptics Express 28, 4010–4020 (2020).
  • [14] M. H. Pfeiffer, J. Liu, A. S. Raja, T. Morais, B. Ghadiani, and T. J. Kippenberg, “Ultra-smooth silicon nitride waveguides based on the damascene reflow process: fabrication and loss origins,” \JournalTitleOptica 5, 884–892 (2018).
  • [15] K. A. Buzaverov, A. S. Baburin, E. V. Sergeev, S. S. Avdeev, E. S. Lotkov, M. Andronik, V. E. Stukalova, D. A. Baklykov, I. V. Dyakonov, N. N. Skryabin et al., “Low-loss silicon nitride photonic ICs for near-infrared wavelength bandwidth,” \JournalTitleOptics Express 31, 16227–16242 (2023).
  • [16] G. N. West, W. Loh, D. Kharas, C. Sorace-Agaskar, K. K. Mehta, J. Sage, J. Chiaverini, and R. J. Ram, “Low-loss integrated photonics for the blue and ultraviolet regime,” \JournalTitleAPL Photonics 4, 026101 (2019).
  • [17] C. He, Y. Wang, C. Waldfried, G. Yang, J.-F. Zheng, S. Hu, and H. X. Tang, “Ultra-high Q alumina optical microresonators in the UV and blue bands,” \JournalTitleOptics Express 31, 33923–33929 (2023).
  • [18] T. P. McKenna, J. D. Witmer, R. N. Patel, W. Jiang, R. Van Laer, P. Arrangoiz-Arriola, E. A. Wollack, J. F. Herrmann, and A. H. Safavi-Naeini, “Cryogenic microwave-to-optical conversion using a triply resonant lithium-niobate-on-sapphire transducer,” \JournalTitleOptica 7, 1737–1745 (2020).
  • [19] B. Desiatov, A. Shams-Ansari, M. Zhang, C. Wang, and M. Lončar, “Ultra-low-loss integrated visible photonics using thin-film lithium niobate,” \JournalTitleOptica 6, 380–384 (2019).
  • [20] T.-J. Lu, M. Fanto, H. Choi, P. Thomas, J. Steidle, S. Mouradian, W. Kong, D. Zhu, H. Moon, K. Berggren et al., “Aluminum nitride integrated photonics platform for the ultraviolet to visible spectrum,” \JournalTitleOptics Express 26, 11147–11160 (2018).
  • [21] X. Liu, A. W. Bruch, Z. Gong, J. Lu, J. B. Surya, L. Zhang, J. Wang, J. Yan, and H. X. Tang, “Ultra-high-Q UV microring resonators based on a single-crystalline AlN platform,” \JournalTitleOptica 5, 1279–1282 (2018).
  • [22] R. Zektzer, N. Mazurski, Y. Barash, and U. Levy, “Nanoscale atomic suspended waveguides for improved vapour coherence times and optical frequency referencing,” \JournalTitleNature Photonics 15, 772–779 (2021).
  • [23] M. W. Puckett, K. Liu, N. Chauhan, Q. Zhao, N. Jin, H. Cheng, J. Wu, R. O. Behunin, P. T. Rakich, K. D. Nelson et al., “422 million intrinsic quality factor planar integrated all-waveguide resonator with sub-MHz linewidth,” \JournalTitleNature Communications 12, 934 (2021).
  • [24] T. J. Morin, L. Chang, W. Jin, C. Li, J. Guo, H. Park, M. A. Tran, T. Komljenovic, and J. E. Bowers, “CMOS-foundry-based blue and violet photonics,” \JournalTitleOptica 8, 755–756 (2021).
  • [25] W. Jin, Q.-F. Yang, L. Chang, B. Shen, H. Wang, M. A. Leal, L. Wu, M. Gao, A. Feshali, M. Paniccia et al., “Hertz-linewidth semiconductor lasers using CMOS-ready ultra-high-Q microresonators,” \JournalTitleNature Photonics 15, 346–353 (2021).
  • [26] J. F. Bauters, M. J. Heck, D. D. John, J. S. Barton, C. M. Bruinink, A. Leinse, R. G. Heideman, D. J. Blumenthal, and J. E. Bowers, “Planar waveguides with less than 0.1 dB/m propagation loss fabricated with wafer bonding,” \JournalTitleOptics Express 19, 24090–24101 (2011).
  • [27] Q. Zhao, R. O. Behunin, P. T. Rakich, N. Chauhan, A. Isichenko, J. Wang, C. Hoyt, C. Fertig, D. J. Blumenthal et al., “Low-loss low thermo-optic coefficient Ta2O5 on crystal quartz planar optical waveguides,” \JournalTitleAPL Photonics 5, 116103 (2020).
  • [28] Y. Wang, J. A. Holguín-Lerma, M. Vezzoli, Y. Guo, and H. X. Tang, “Photonic-circuit-integrated titanium: sapphire laser,” \JournalTitleNature Photonics 17, 338–345 (2023).
  • [29] J. A. Holguín-Lerma, Y. Wang, Y. Guo, M. Vezzoli, and H. X. Tang, “Narrow-linewidth GaN lasers based on an AlN photonic integrated circuit,” in Frontiers in Optics, (Optica Publishing Group, 2022), pp. FM1E–2.
  • [30] R. Arefin, S. H. Ramachandra, H. Jung, W. You, S. M. Hasan, H. Turski, S. Dwivedi, and S. Arafin, “III-N/Si3N4 integrated photonics platform for blue wavelengths,” \JournalTitleIEEE Journal of Quantum Electronics 56, 1–9 (2020).
  • [31] X. Ji, S. Roberts, M. Corato-Zanarella, and M. Lipson, “Methods to achieve ultra-high quality factor silicon nitride resonators,” \JournalTitleAPL Photonics 6, 071101 (2021).
  • [32] Y. Sun, W. Shin, D. A. Laleyan, P. Wang, A. Pandey, X. Liu, Y. Wu, M. Soltani, and Z. Mi, “Ultrahigh Q microring resonators using a single-crystal aluminum-nitride-on-sapphire platform,” \JournalTitleOptics Letters 44, 5679–5682 (2019).
  • [33] N. Bhat, M. Gromovyi, M. El Kurdi, X. Checoury, B. Damilano, and P. Boucaud, “GaN/AlN bilayers for integrated photonics,” \JournalTitleOptical Materials Express 14, 792–800 (2024).
  • [34] E. Stassen, M. Pu, E. Semenova, E. Zavarin, W. Lundin, and K. Yvind, “High-confinement gallium nitride-on-sapphire waveguides for integrated nonlinear photonics,” \JournalTitleOptics Letters 44, 1064–1067 (2019).
  • [35] Y. Zheng, C. Sun, B. Xiong, L. Wang, Z. Hao, J. Wang, Y. Han, H. Li, J. Yu, and Y. Luo, “Integrated gallium nitride nonlinear photonics,” \JournalTitleLaser & Photonics Reviews 16, 2100071 (2022).
  • [36] Y. Zheng, M. Pu, H. K. Sahoo, E. Semenova, and K. Yvind, “High-quality-factor AlGaAs-on-sapphire microring resonators,” \JournalTitleJournal of Lightwave Technology 37, 868–874 (2019).
  • [37] J. Mishra, T. P. McKenna, E. Ng, H. S. Stokowski, M. Jankowski, C. Langrock, D. Heydari, H. Mabuchi, M. Fejer, and A. H. Safavi-Naeini, “Mid-infrared nonlinear optics in thin-film lithium niobate on sapphire,” \JournalTitleOptica 8, 921–924 (2021).
  • [38] T. Baehr-Jones, A. Spott, R. Ilic, A. Spott, B. Penkov, W. Asher, and M. Hochberg, “Silicon-on-sapphire integrated waveguides for the mid-infrared,” \JournalTitleOptics Express 18, 12127–12135 (2010).
  • [39] J. Li, H. Lee, K. Y. Yang, and K. J. Vahala, “Sideband spectroscopy and dispersion measurement in microcavities,” \JournalTitleOptics express 20, 26337–26344 (2012).
  • [40] X. Zhu, Y. Hu, S. Lu, H. K. Warner, X. Li, Y. Song, L. Magalhaes, A. Shams-Ansari, N. Sinclair, and M. Loncar, “Twenty-nine million intrinsic q-factor monolithic microresonators on thin film lithium niobate,” \JournalTitlearXiv preprint arXiv:2402.16161 (2024).