Recently, with the development of high- optical microresonators and nonlinear photonics, Kerr soliton microcombs1
Advanced Photonics, Volume. 7, Issue 5, 056002(2025)
Generation of 2/3-octave-spanning visible Kerr soliton microcomb
Visible optical frequency combs are essential to optical atomic clocks, astronomical spectrograph calibration, and biological imaging. However, due to the limitations of the dispersion properties of available materials and the Q-factors of the optical microresonators working at visible wavelengths, the generation of the visible soliton microcomb remains highly challenging. Here, we demonstrate a chip-based visible single-soliton microcomb spanning two-thirds of an octave (ranging from 632.5 to 950.1 nm) by precisely engineering the dispersion of a silica microdisk resonator. Two dispersion waves at the spectrum edges are created by simultaneously employing the higher order dispersion and mode interaction in a microresonator. In particular, we achieve a high Q-factor with small mode volume at the short wavelength, which facilitates the generation of the visible soliton microcombs with 1.1 mW pump power. Moreover, based on the soliton self-frequency shift, we implement a precise adjustment of the dispersive wave, which makes the highest power tooth within the dispersive wave access the transition of Sr88 + for the application in optical atomic clocks.
1 Introduction
Recently, with the development of high- optical microresonators and nonlinear photonics, Kerr soliton microcombs1
Optical frequency combs at visible wavelengths play important roles in essential technologies, including optical atomic clocks, astronomical spectrograph calibration, and biological medical imaging.2 At visible wavelengths, the available materials exhibit strong normal group velocity dispersion (GVD), but a prerequisite for the bright soliton generation in an optical microresonator is an anomalous dispersion instead. A possible way to overcome such natural material dispersion and achieve a total anomalous dispersion is to engineer the geometry of a microresonator. For this purpose, it is usually necessary to fabricate the optical microresonators with a relatively small thickness28
In this study, we overcome the above-mentioned challenge by fabricating a dispersion-engineered, ultrahigh- silica microdisk resonator through an optimized dry-etching process.53,54 With that platform, we realize a chip-based visible single-soliton microcomb spanning two-thirds of an octave, which has already covered several clock transitions of atoms or ions and can be used for microcomb self-referencing. Owing to the high -factor and small mode volume of the silica microdisk resonator, the soliton microcombs can be even generated with a low pump power of 1.1 mW. To improve the power of comb teeth at the end of the spectrum, we especially develop an engineering of dual DWs, combining both geometric dispersion and mode interactions. Moreover, by making use of the soliton self-frequency shift effect, we implement a precise tuning of the position of the DW at the short wavelength of the spectrum.
Sign up for Advanced Photonics TOC Get the latest issue of Advanced Photonics delivered right to you!Sign up now
2 Dispersion Engineering and Characterization of High-Q Microdisk Resonator
In this work, we use the dry-etched silica microdisk resonators53,54 for visible soliton microcomb generation. As compared with other materials, silica inherently possesses a lower material dispersion at the visible wavelength,28 which makes it easier to achieve an anomalous dispersion by engineering the geometry of a microresonator. In other words, the GVD of the microdisks can be engineered by carefully designing the three parameters: the diameter (), the silica thickness (), and the wedge angle (), as shown in the right inset of Fig. 1(a).
Figure 1.Dispersion engineering and characterization of the microdisk resonators. (a) Curves of the group velocity dispersion as a function of wavelength for various thicknesses of the microdisk resonator, whereas the wedge angle (37 deg) and diameter (
To achieve an anomalous total dispersion of the microresonator () at the visible wavelength, a straightforward way is to reduce the thickness of the microdisk (change the geometric dispersion) so that the field modes can be well compressed. Based on the finite element method, Fig. 1(a) shows the simulated GVD–wavelength curves of the fundamental transverse magnetic () mode for different microdisk thicknesses but with a fixed diameter () and wedge angle (37 deg). It indicates an overall increase in GVD and a blue-shifted zero-dispersion point of the GVD with the decreased thickness. When the thickness is decreased and approaches , the mode family achieves anomalous dispersion at a wavelength of 780 nm. Moreover, by further reducing the thickness of the silica microdisk resonator, it is feasible to achieve anomalous dispersion as well as generate soliton microcomb at a shorter wavelength (see more details in Section I of the
To extend the comb spectrum to a normal GVD regime, it is generally required to achieve the emission of DW.55,56 The spectral positions of DWs can be conveniently predicted by applying the integrated dispersion (). The takes the approximate form , where is the relative mode number, is the angular frequencies of the cavity resonances, and is the pumped mode frequency. Moreover, is the free spectral range (FSR), is the variation of adjacent FSR, and denotes the third-order dispersion. For a microdisk resonator with a thickness of , the relative to the pump mode at 780 nm is depicted in the left inset of Fig. 1(a). In the presence of third-order dispersion (), a zero-crossing point of occurs in the short-wavelength region, after passing through the zero-dispersion point. Only when the spectrum is extended to the point where for the generated soliton, the DWs will be excited near the corresponding zero-crossing points. However, due to the coexistence of a significant anomalous geometric dispersion and a decreased normal material dispersion with the wavelength increased, the rapidly increases with the involved wavelength, resulting in a considerable wavelength separation between the zero-crossing point in the long-wavelength region [the wavelength of the zero-crossing point is greater than the second zero-dispersion point ()] and the pump wavelength. As a result, it is difficult to excite the DW on the side of long wavelength by means of only employing the third-order dispersion.
Figure 1(b) shows a typical scanning electron microscopy (SEM) image of the fabricated silica microdisk resonator using inductively coupled plasma (ICP) dry-etching.53,54 As compared with the wet-etching process,57 the wedge angle of the dry-etched microdisks can be easily controlled by changing the ICP power during the etching process. By optimizing the fabrication process, we have obtained a high -factor silica microdisk resonator with thickness and a small diameter () at the wavelength of . Figure 1(c) presents the detailed transmission spectrum of the mode with a doublet feature,58 which indicates an intrinsic quality factor of (the high -factor originates from the low sidewall roughness , as shown in Fig. S2 of the
3 Generation of Low Pump Power and Broadband Visible Soliton Microcombs with a Short-Wave DW
Experimentally, we employ the auxiliary laser heating approach to access the soliton states of the visible Kerr microcomb;61
Figure 2.Generation of visible soliton microcomb with a DW at the short wavelength. (a) Optical spectrum of the single-soliton observed at the pump power of 1.1 mW. The gray curve indicates the simulated soliton microcomb spectrum based on the Lugiato–Lefever equation. (b) Transmission of comb power with the soliton steps indicating the existence of the soliton states. (c) Radio frequency noise of the chaotic comb and the single-soliton comb, together with a noise floor of the photodiode. (d) Simulated integrated dispersion of the
Though the modal confinement is primarily set by the thickness, the dispersion can also be slightly impacted by modifying the wedge angle for a fixed thickness and a fixed diameter. It can be seen from the simulated curves in Fig. 2(d). Due to the increase of the anomalous dispersion, the third-order dispersion-induced zero-crossing point on the side of short wavelengths keeps shifting to an even shorter wavelength after the wedge angle is increased. The measured dispersion of the microresonator around 780 nm is shown by hollow dots in Fig. 2(d). By using a silica microdisk resonator with a wedge angle of 39.2 deg, we observe a soliton microcomb with a broader bandwidth of 674.8 to 852.5 nm and a blue shift of the DW to 679.7 nm under a pump power of 8.2 mW [the middle panel of Fig. 2(e)]. This observation is consistent with our numerical simulation. Further increasing the wedge angle to 43.1 deg, we achieve visible soliton microcombs with a short-wave DW at 657.2 nm under a pump power of 32.6 mW, as shown in the bottom panel of Fig. 2(e). The spectrum spans the visible light wavelengths of 650.9 to 759.1 nm, equivalent to a range of 65.6 THz, with a repetition rate of 791 GHz. Due to the generation of the DW at the short wavelength, a red light [Fig. 1(d)] can be clearly seen during the generation of the Kerr single-soliton microcomb.
4 Broadband Visible Soliton Microcombs with Dual DWs
In some applications such as optical clocks and optical frequency synthesis, it is necessary to have sufficient power at the two ends of the soliton microcomb spectrum for the self-reference of the microcomb.17,18 An efficient way to overcome the rapid increases of and excite DW at long-wavelength regions is to make use of the spatial mode interactions in whispering gallery mode optical microresonators.67 After a modification of the dimensions of the microdisk resonator, we see the emergence of an obvious DW near 860.8 nm [Fig. 3(a)]. To explain the existence of this DW, we simulate the relative mode frequency curves of the and mode families with respect to the unperturbed mode at [Fig. 3(d)]. The intersection point of these curves indicates a proximity of the resonant frequencies of these two different mode families. By increasing the diameter of a microdisk resonator, as seen from Figs. 3(a)–3(c), we can shift the DW in the long (short) wavelength range to an even longer (shorter) wavelength. These results are consistent with the tendency of the simulated intersection points [Figs. 3(d)–3(f)], indicating an excellent predictability of our dispersion engineering. Finally, with a microdisk resonator of the diameter , we achieve a visible single-soliton microcomb spanning over two-thirds of an octave (632.5 to 950.1 nm) with a repetition of 720 GHz, as shown in Fig. 3(c). To effectively extract the broadband microcomb, both the diameter of the fiber taper and the coupling distance between the microresonator and the straight taper are optimized (see more details in Section IV of the
Figure 3.Visible single-soliton microcomb with dual DWs. Soliton microcomb spectra of the silica microdisk resonators with a wedge angle of 39.2 deg, a thickness of
5 Precise Control of DW by Tuning Pump Laser Frequency
For optical atomic clock application, one of the comb teeth with enough optical power should match an atomic transition. However, the positions of DWs are highly susceptible to the geometric dimensions of the fabricated microresonator. Consequently, the generated frequency of the highest power comb line (the one that best phase-matches55,67 with the pump laser) within the DW commonly exhibits deviations from the desired atomic transition frequency. Here, we introduce a method of precisely tuning the relative mode number associated with the highest power comb line within the short-wavelength DW, simply by altering the detuning of the pump laser. It is based on the Raman-induced soliton self-frequency shift and DW-induced recoil existing in the silica microdisk resonator to change the phase match condition.67,69 As shown in Fig. 4(b) from top to bottom panels, when the red-detuning of the pump increases (the frequency is decreased), the total shift of the soliton spectral center will be over a range from to , which is primarily attributed to the prominent Raman-induced soliton self-frequency shift (see more details in Sections VI and VII of the
Figure 4.Precise control of DW. (a) Zoom-in spectra of short-wavelength DW blue-shifted as the pump red-detuning increased. (b) Spectra of single-soliton microcombs with increasing pump detuning using microdisk resonators with a wedge angle of 37 deg, a thickness of
In Fig. 4(a), we provide a further clarification of our system’s ability to precisely tune the relative mode number of the highest power tooth within the short-wavelength DW, which indicates that a high-power comb line within the DW has already overlapped with the clock transition of . It also shows that the relative mode number of the comb tooth with the highest power can be adjusted from to . The large DW tuning range is mainly attributed to the significant variation of the soliton self-frequency shift with pump detuning, which results from the ultranarrow soliton pulse width, as well as the relatively wide detuning range enabled by the high -factor and small mode volume. To further elucidate the precision of this tuning mechanism of controlling the position of the DWs, which realizes the adjustment of the highest power tooth within the DW precisely from one relative mode number to the next, we perform the simulations of the soliton microcombs based on the LLE.65,66 As shown in Fig. S6(b) of the
6 Discussion and Conclusion
In summary, we have demonstrated broadband visible Kerr soliton microcombs using dry-etched silica microdisk resonators on the chip. The widest comb spectrum ranges from 632.5 to 950.1 nm (a frequency spacing of 158.5 THz). Broadband visible soliton microcombs with two DWs at their ends of spectra are achieved by delicately engineering the dispersion of microresonators. Even though the diameter and thickness are considerably reduced, we have still managed to obtain an ultrahigh quality factor of the silica microdisk resonator with an appropriate dispersion so that a visible soliton microcomb can be generated under a pump power as low as 1.1 mW. The dispersive wave at the short-wavelength end of the spectrum can be precisely tuned by the detuning of the pump laser through a soliton self-frequency shift effect. The obtained visible soliton microcomb spanning two-thirds of an octave can be self-referenced based on the 2f to 3f scheme.32 Like some recently explored octave-spanning Kerr soliton microcombs (with repetition rates of ),34
Acknowledgments
Acknowledgment. This research was supported by the Guangdong Major Project of Basic and Applied Basic Research (Grant No. 2020B0301030009), National Natural Science Foundation of China (NSFC) (Grant Nos. 12293054, 12341403, and 92463304), National Key R&D Program of China (Grant Nos. 2021YFA1400803 and 2023YFB3906401), and Fundamental Research Funds for the Central Universities (Grant Nos. 021314380260 and 021314380283).
Xuan Li received his MS degree from Hebei University of Technology in 2020. He is currently pursuing a PhD at the College of Engineering and Applied Sciences, Nanjing University. His research focuses on the fabrication of on-chip high-Q optical microresonators and the generation of optical frequency combs.
Kai Qi received his bachelor’s degree in physics from East China Normal University. He is currently a PhD candidate at the College of Engineering and Applied Science, Nanjing University. His research interest includes on-chip high-Q optical microresonators and their applications for nonlinear photonics.
Bing He is an associate professor at Multidisciplinary Center for Physics, Universidad Mayor, Chile. He received his PhD from Graduate Center, City University of New York in 2009. His current research interests cover quantum nonlinear optics, nonlinear dynamical systems, and quantum information processing.
Xiaoshun Jiang is a professor at the College of Engineering and Applied Sciences at Nanjing University. He received his PhD from Zhejiang University in 2010. His research interests include the fabrication of on-chip high-Q optical microresonators and their applications in Kerr soliton microcombs, narrow-linewidth microlasers, and cavity optomechanics.
Biographies of the other authors are not available.
Get Citation
Copy Citation Text
Xuan Li, Kai Qi, Yucheng Wu, Xiaoke Wu, Malong Hu, Zhixuan Li, Yaya He, Shulin Ding, Zhenda Xie, Heng Zhou, Bing He, Min Xiao, Xiaoshun Jiang, "Generation of 2/3-octave-spanning visible Kerr soliton microcomb," Adv. Photon. 7, 056002 (2025)
Category: Research Articles
Received: Mar. 30, 2025
Accepted: Jun. 19, 2025
Posted: Jun. 19, 2025
Published Online: Jul. 18, 2025
The Author Email: Xiaoshun Jiang (jxs@nju.edu.cn)