Toby Bi
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
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Research Interests
Toby Bi has a total of 81 co-authors. Here are the top co-authors by number of shared publications:
Shuangyou Zhang
Max Planck Institute for the Science of Light, Erlangen, Germany
13 shared publicationsAlekhya Ghosh
Max Planck Institute for the Science of Light, Erlangen, Germany
8 shared publicationsArghadeep Pal
Friedrich Alexander University Erlangen-Nüremberg
8 shared publicationsPascal Del’hAye
Friedrich Alexander University Erlangen-Nüremberg
8 shared publications- Yaojing Zhang
School of Science and Engineering The Chinese University of Hong Kong (Shenzhen) Shenzhen Guangdong China
8 shared publications - Pascal Del’hAye
Max Planck Institute for the Science of Light Erlangen Germany
7 shared publications
Latest Publications
- Open Access
- 28 May 2026
- Published by Springer Nature in Nature Communications
- Vol. 17 (1)
Inverse-designed silicon nitride nanophotonics
Silicon nitride photonics has enabled integration of a variety of components for applications in linear and nonlinear optics, including telecommunications, optical clocks, astrocombs, bio-sensing, and LiDAR. With the advent of inverse design – where desired device performance is specified and closely achieved through iterative, gradient-based optimisation – and the increasing availability of silicon nitride photonics via foundries, it is now feasible to expand the photonic design library beyond the limits of traditional approaches and unlock new functionalities. In this work, we present inverse-designed photonics on a silicon nitride platform and demonstrate both the design capabilities and experimental verification by realising precisely tailored wavelength-division multiplexers, mode-division multiplexers, and high- Q resonators with controllable wavelength range and dispersion. This demonstrates inverse-designed enhanced manipulation of orthogonal bases of light. Furthermore, we use these inverse-designed structures to form optical cavities that hold promise for on-chip nonlinear and quantum optics experiments.
- 28 May 2026
- Published by Springer Nature in Nature Communications
- Vol. 17 (1)
Open AccessInverse-designed silicon nitride nanophotonics
Silicon nitride photonics has enabled integration of a variety of components for applications in linear and nonlinear optics, including telecommunications, optical clocks, astrocombs, bio-sensing, and LiDAR. With the advent of inverse design – where desired device performance is specified and closely achieved through iterative, gradient-based optimisation – and the increasing availability of silicon nitride photonics via foundries, it is now feasible to expand the photonic design library beyond the limits of traditional approaches and unlock new functionalities. In this work, we present inverse-designed photonics on a silicon nitride platform and demonstrate both the design capabilities and experimental verification by realising precisely tailored wavelength-division multiplexers, mode-division multiplexers, and high- Q resonators with controllable wavelength range and dispersion. This demonstrates inverse-designed enhanced manipulation of orthogonal bases of light. Furthermore, we use these inverse-designed structures to form optical cavities that hold promise for on-chip nonlinear and quantum optics experiments.
- 23 October 2025
- Published by Optica Publishing Group in Optics Express
- Vol. 33 (22) , 46304-46312
Turnkey soliton frequency combs from a linear fiber cavity with microresonator mirror
We demonstrate robust turnkey soliton frequency combs using a fiber Fabry-Pérot cavity laser. This believed to be novel linear fiber-laser-based approach leverages Rayleigh scattering from a microresonator to serve as a partial reflector to facilitate both lasing and soliton generation. Numerical simulations are used to optimize the gain-maximum wavelength of the fiber cavity to match the target wavelength, at which the microresonator exhibits strong backscattering. A fused silica microrod resonator with an intrinsic Q -factor of 2 × 10 8 simultaneously acts as partial reflector and filter for the laser cavity. Based on this fiber cavity laser, we successfully generate soliton crystal frequency combs in a fused silica microresonator with a mode spacing of approximately 109 GHz. We also validate soliton comb generation using different microresonators with varying dimensions. Our laser system exhibits self-injection locking to one of the microresonator modes. Turnkey performance is evaluated through laser current switching tests. The laser power conversion efficiency from 980 nm to 1550 nm is 25%. As a complement to chip-based systems, our work provides insights into soliton generation using extremely low-loss laser cavities and narrow linewidth fused silica microresonators. Our soliton frequency combs are expected to advance various microwave photonic applications that demand long-term stability and turnkey performance.
- 23 October 2025
- Published by Optica Publishing Group in Optics Express
- Vol. 33 (22) , 46304-46312
Turnkey soliton frequency combs from a linear fiber cavity with microresonator mirror
We demonstrate robust turnkey soliton frequency combs using a fiber Fabry-Pérot cavity laser. This believed to be novel linear fiber-laser-based approach leverages Rayleigh scattering from a microresonator to serve as a partial reflector to facilitate both lasing and soliton generation. Numerical simulations are used to optimize the gain-maximum wavelength of the fiber cavity to match the target wavelength, at which the microresonator exhibits strong backscattering. A fused silica microrod resonator with an intrinsic Q -factor of 2 × 10 8 simultaneously acts as partial reflector and filter for the laser cavity. Based on this fiber cavity laser, we successfully generate soliton crystal frequency combs in a fused silica microresonator with a mode spacing of approximately 109 GHz. We also validate soliton comb generation using different microresonators with varying dimensions. Our laser system exhibits self-injection locking to one of the microresonator modes. Turnkey performance is evaluated through laser current switching tests. The laser power conversion efficiency from 980 nm to 1550 nm is 25%. As a complement to chip-based systems, our work provides insights into soliton generation using extremely low-loss laser cavities and narrow linewidth fused silica microresonators. Our soliton frequency combs are expected to advance various microwave photonic applications that demand long-term stability and turnkey performance.
- Open Access
- 24 May 2025
- Published by Springer Nature in Communications Physics
- Vol. 8 (1) , 1-5
Microresonator soliton frequency combs via cascaded Brillouin scattering
Microresonator frequency combs are vital for advancing optical communications and sensing, but current methods face challenges in achieving low phase noise and flexible repetition rates simultaneously. Here, we demonstrate forward-propagating soliton frequency combs using cascaded Brillouin scattering in a silica resonator. This method bridges distinct resonator modes and decouples soliton repetition rates from the Brillouin frequency shift (~10 GHz in silica). By generating soliton pulses at 107 GHz, we show that the repetition rates can be tailored through resonator geometry without compromising low noise. This integration of Brillouin lasing with microcombs unites stability and design flexibility, overcoming prior limitations. The results can enable scalable photonic platforms for applications such as LiDAR, high-capacity optical networks, and precision microwave generation. This technique is of interest for technologies that demand both ultra-stable and customizable light sources.
- 24 May 2025
- Published by Springer Nature in Communications Physics
- Vol. 8 (1) , 1-5
Open AccessMicroresonator soliton frequency combs via cascaded Brillouin scattering
Microresonator frequency combs are vital for advancing optical communications and sensing, but current methods face challenges in achieving low phase noise and flexible repetition rates simultaneously. Here, we demonstrate forward-propagating soliton frequency combs using cascaded Brillouin scattering in a silica resonator. This method bridges distinct resonator modes and decouples soliton repetition rates from the Brillouin frequency shift (~10 GHz in silica). By generating soliton pulses at 107 GHz, we show that the repetition rates can be tailored through resonator geometry without compromising low noise. This integration of Brillouin lasing with microcombs unites stability and design flexibility, overcoming prior limitations. The results can enable scalable photonic platforms for applications such as LiDAR, high-capacity optical networks, and precision microwave generation. This technique is of interest for technologies that demand both ultra-stable and customizable light sources.
- 17 January 2025
- Published by Optica Publishing Group in Photonics Research
- Vol. 13 (2) , 367
On-chip microresonator dispersion engineering via segmented sidewall modulation
Microresonator dispersion plays a crucial role in shaping the nonlinear dynamics of microcavity solitons. Here, we introduce and validate a method for dispersion engineering through modulating a portion of the inner edge of ring waveguides. We demonstrate that such partial modulation has a broadband effect on the dispersion profile, whereas modulation on the entire resonator’s inner circumference leads to mode splitting primarily affecting one optical mode. The impact of spatial modulation amplitude, period, and number of modulations on the mode splitting profile is also investigated. Through the integration of four modulated sections with different modulation amplitudes and periods, we achieve mode splitting across more than 50 modes over a spectral range exceeding 100 nm in silicon nitride resonators. These results highlight both the simplicity and efficacy of our method in achieving flatter dispersion profiles.
- 17 January 2025
- Published by Optica Publishing Group in Photonics Research
- Vol. 13 (2) , 367
On-chip microresonator dispersion engineering via segmented sidewall modulation
Microresonator dispersion plays a crucial role in shaping the nonlinear dynamics of microcavity solitons. Here, we introduce and validate a method for dispersion engineering through modulating a portion of the inner edge of ring waveguides. We demonstrate that such partial modulation has a broadband effect on the dispersion profile, whereas modulation on the entire resonator’s inner circumference leads to mode splitting primarily affecting one optical mode. The impact of spatial modulation amplitude, period, and number of modulations on the mode splitting profile is also investigated. Through the integration of four modulated sections with different modulation amplitudes and periods, we achieve mode splitting across more than 50 modes over a spectral range exceeding 100 nm in silicon nitride resonators. These results highlight both the simplicity and efficacy of our method in achieving flatter dispersion profiles.
- 17 January 2025
- Published by Optica Publishing Group in Photonics Research
- Vol. 13 (2) , 360
Integrated optical switches based on Kerr symmetry breaking in microresonators
With the rapid development of the Internet of Things and big data, integrated optical switches are gaining prominence for applications in on-chip optical computing, optical memories, and optical communications. Here, we propose a novel approach for on-chip optical switches by utilizing the nonlinear optical Kerr effect induced spontaneous symmetry breaking (SSB), which leads to two distinct states of counterpropagating light in ring resonators. This technique is based on our first experimental observation of on-chip symmetry breaking in a high-Q (9.4×106) silicon nitride resonator with a measured SSB threshold power of approximately 3.9 mW. We further explore the influence of varying pump powers and frequency detunings on the performance of SSB-induced optical switches. Our work provides insights into the development of new types of photonic data processing devices and provides an innovative approach for the future implementation of on-chip optical memories.
- 17 January 2025
- Published by Optica Publishing Group in Photonics Research
- Vol. 13 (2) , 360
Integrated optical switches based on Kerr symmetry breaking in microresonators
With the rapid development of the Internet of Things and big data, integrated optical switches are gaining prominence for applications in on-chip optical computing, optical memories, and optical communications. Here, we propose a novel approach for on-chip optical switches by utilizing the nonlinear optical Kerr effect induced spontaneous symmetry breaking (SSB), which leads to two distinct states of counterpropagating light in ring resonators. This technique is based on our first experimental observation of on-chip symmetry breaking in a high-Q (9.4×106) silicon nitride resonator with a measured SSB threshold power of approximately 3.9 mW. We further explore the influence of varying pump powers and frequency detunings on the performance of SSB-induced optical switches. Our work provides insights into the development of new types of photonic data processing devices and provides an innovative approach for the future implementation of on-chip optical memories.
- 1 November 2024
- Published by Optica Publishing Group in Photonics Research
- Vol. 12 (11) , 2733-2740
Linear and nonlinear coupling of light in twin-resonators with Kerr nonlinearity
Nonlinear effects in microresonators are efficient building blocks for all-optical computing and telecom systems. With the latest advances in microfabrication, coupled microresonators are used in a rapidly growing number of applications. In this work, we investigate the coupling between twin-resonators in the presence of Kerr nonlinearity. We use an experimental setup with controllable coupling between two high-Q resonators and discuss the effects caused by the simultaneous presence of linear and nonlinear coupling between the optical fields. Linear-coupling-induced mode splitting is observed at low input powers, with the controllable coupling leading to a tunable mode splitting. At high input powers, the hybridized resonances show spontaneous symmetry breaking (SSB) effects, in which the optical power is unevenly distributed between the resonators. Our experimental results are supported by a detailed theoretical model of nonlinear twin-resonators. With the recent interest in coupled resonator systems for neuromorphic computing, quantum systems, and optical frequency comb generation, our work provides important insights into the behavior of these systems at high circulating powers.
- 1 November 2024
- Published by Optica Publishing Group in Photonics Research
- Vol. 12 (11) , 2733-2740
Linear and nonlinear coupling of light in twin-resonators with Kerr nonlinearity
Nonlinear effects in microresonators are efficient building blocks for all-optical computing and telecom systems. With the latest advances in microfabrication, coupled microresonators are used in a rapidly growing number of applications. In this work, we investigate the coupling between twin-resonators in the presence of Kerr nonlinearity. We use an experimental setup with controllable coupling between two high-Q resonators and discuss the effects caused by the simultaneous presence of linear and nonlinear coupling between the optical fields. Linear-coupling-induced mode splitting is observed at low input powers, with the controllable coupling leading to a tunable mode splitting. At high input powers, the hybridized resonances show spontaneous symmetry breaking (SSB) effects, in which the optical power is unevenly distributed between the resonators. Our experimental results are supported by a detailed theoretical model of nonlinear twin-resonators. With the recent interest in coupled resonator systems for neuromorphic computing, quantum systems, and optical frequency comb generation, our work provides important insights into the behavior of these systems at high circulating powers.
- 1 October 2024
- Published by Optica Publishing Group in Photonics Research
- Vol. 12 (10) , 2376-2389
Controlled light distribution with coupled microresonator chains via Kerr symmetry breaking
Within optical microresonators, the Kerr interaction of photons can lead to symmetry breaking of optical modes. In a ring resonator, this leads to the interesting effect that light preferably circulates in one direction or in one polarization state. Applications of this effect range from chip-integrated optical diodes to nonlinear polarization controllers and optical gyroscopes. In this work, we study Kerr-nonlinearity-induced symmetry breaking of light states in coupled resonator optical waveguides (CROWs). We discover, to our knowledge, a new type of controllable symmetry breaking that leads to emerging patterns of dark and bright resonators within the chains. Beyond stationary symmetry broken states, we observe Kerr-effect-induced homogeneous periodic oscillations, switching, and chaotic fluctuations of circulating powers in the resonators. Our findings are of interest for controlled multiplexing of light in photonic integrated circuits, neuromorphic computing, topological photonics, and soliton frequency combs in coupled resonators.
- 1 October 2024
- Published by Optica Publishing Group in Photonics Research
- Vol. 12 (10) , 2376-2389
Controlled light distribution with coupled microresonator chains via Kerr symmetry breaking
Within optical microresonators, the Kerr interaction of photons can lead to symmetry breaking of optical modes. In a ring resonator, this leads to the interesting effect that light preferably circulates in one direction or in one polarization state. Applications of this effect range from chip-integrated optical diodes to nonlinear polarization controllers and optical gyroscopes. In this work, we study Kerr-nonlinearity-induced symmetry breaking of light states in coupled resonator optical waveguides (CROWs). We discover, to our knowledge, a new type of controllable symmetry breaking that leads to emerging patterns of dark and bright resonators within the chains. Beyond stationary symmetry broken states, we observe Kerr-effect-induced homogeneous periodic oscillations, switching, and chaotic fluctuations of circulating powers in the resonators. Our findings are of interest for controlled multiplexing of light in photonic integrated circuits, neuromorphic computing, topological photonics, and soliton frequency combs in coupled resonators.
- Open Access
- 16 September 2024
- Published by Springer Nature in Nature Communications
- Vol. 15 (1) , 8109
Femtosecond pulse amplification on a chip
Femtosecond laser pulses enable the synthesis of light across the electromagnetic spectrum and provide access to ultrafast phenomena in physics, biology, and chemistry. Chip-integration of femtosecond technology could revolutionize applications such as point-of-care diagnostics, bio-medical imaging, portable chemical sensing, or autonomous navigation. However, current chip-integrated pulse sources lack the required peak power, and on-chip amplification of femtosecond pulses has been an unresolved challenge. Here, addressing this challenge, we report >50-fold amplification of 1 GHz-repetition-rate chirped femtosecond pulses in a CMOS-compatible photonic chip to 800 W peak power with 116 fs pulse duration. This power level is 2–3 orders of magnitude higher compared to those in previously demonstrated on-chip pulse sources and can provide the power needed to address key applications. To achieve this, detrimental nonlinear effects are mitigated through all-normal dispersion, large mode-area and rare-earth-doped gain waveguides. These results offer a pathway to chip-integrated femtosecond technology with peak power levels characteristic of table-top sources.
- 16 September 2024
- Published by Springer Nature in Nature Communications
- Vol. 15 (1) , 8109
Open AccessFemtosecond pulse amplification on a chip
Femtosecond laser pulses enable the synthesis of light across the electromagnetic spectrum and provide access to ultrafast phenomena in physics, biology, and chemistry. Chip-integration of femtosecond technology could revolutionize applications such as point-of-care diagnostics, bio-medical imaging, portable chemical sensing, or autonomous navigation. However, current chip-integrated pulse sources lack the required peak power, and on-chip amplification of femtosecond pulses has been an unresolved challenge. Here, addressing this challenge, we report >50-fold amplification of 1 GHz-repetition-rate chirped femtosecond pulses in a CMOS-compatible photonic chip to 800 W peak power with 116 fs pulse duration. This power level is 2–3 orders of magnitude higher compared to those in previously demonstrated on-chip pulse sources and can provide the power needed to address key applications. To achieve this, detrimental nonlinear effects are mitigated through all-normal dispersion, large mode-area and rare-earth-doped gain waveguides. These results offer a pathway to chip-integrated femtosecond technology with peak power levels characteristic of table-top sources.
- Open Access
- 6 March 2024
- Published by Springer Nature in Communications Physics
- Vol. 7 (1) , 1-9
Symmetry broken vectorial Kerr frequency combs from Fabry-Pérot resonators
Spontaneous symmetry breaking of a pair of vector temporal cavity solitons has been established as a paradigm to modulate optical frequency combs, and finds many applications in metrology, frequency standards, communications, and photonic devices. While this phenomenon has successfully been observed in Kerr ring resonators, the counterpart exploiting linear Fabry-Pérot cavities is still unexplored. Here, we consider field polarization properties and describe a vector comb generation through the spontaneous symmetry breaking of temporal cavity solitons within coherently driven, passive, Fabry-Pérot cavities with Kerr nonlinearity. Global coupling effects due to the interactions of counter-propagating light restrict the maximum number of soliton pairs within the cavity - even down to a single soliton pair - and force long range polarization conformity in trains of vector solitons.
- 6 March 2024
- Published by Springer Nature in Communications Physics
- Vol. 7 (1) , 1-9
Open AccessSymmetry broken vectorial Kerr frequency combs from Fabry-Pérot resonators
Spontaneous symmetry breaking of a pair of vector temporal cavity solitons has been established as a paradigm to modulate optical frequency combs, and finds many applications in metrology, frequency standards, communications, and photonic devices. While this phenomenon has successfully been observed in Kerr ring resonators, the counterpart exploiting linear Fabry-Pérot cavities is still unexplored. Here, we consider field polarization properties and describe a vector comb generation through the spontaneous symmetry breaking of temporal cavity solitons within coherently driven, passive, Fabry-Pérot cavities with Kerr nonlinearity. Global coupling effects due to the interactions of counter-propagating light restrict the maximum number of soliton pairs within the cavity - even down to a single soliton pair - and force long range polarization conformity in trains of vector solitons.
- Open Access
- 27 February 2024
- Published by National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 121 (10)
Real-time imaging of standing-wave patterns in microresonators
Real-time characterization of microresonator dynamics is important for many applications. In particular, it is critical for near-field sensing and understanding light–matter interactions. Here, we report camera-facilitated imaging and analysis of standing wave patterns in optical ring resonators. The standing wave pattern is generated through bidirectional pumping of a microresonator, and the scattered light from the microresonator is collected by a short-wave infrared (SWIR) camera. The recorded scattering patterns are wavelength dependent, and the scattered intensity exhibits a linear relation with the circulating power within the microresonator. By modulating the relative phase between the two pump waves, we can control the generated standing waves’ movements and characterize the resonator with the SWIR camera. The visualized standing wave enables subwavelength distance measurements of scattering targets with nanometer-level accuracy. This work opens broad avenues for applications in on-chip near-field (bio)sensing, real-time characterization of photonic integrated circuits, and backscattering control in telecom systems.
- 27 February 2024
- Published by National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 121 (10)
Open AccessReal-time imaging of standing-wave patterns in microresonators
Real-time characterization of microresonator dynamics is important for many applications. In particular, it is critical for near-field sensing and understanding light–matter interactions. Here, we report camera-facilitated imaging and analysis of standing wave patterns in optical ring resonators. The standing wave pattern is generated through bidirectional pumping of a microresonator, and the scattered light from the microresonator is collected by a short-wave infrared (SWIR) camera. The recorded scattering patterns are wavelength dependent, and the scattered intensity exhibits a linear relation with the circulating power within the microresonator. By modulating the relative phase between the two pump waves, we can control the generated standing waves’ movements and characterize the resonator with the SWIR camera. The visualized standing wave enables subwavelength distance measurements of scattering targets with nanometer-level accuracy. This work opens broad avenues for applications in on-chip near-field (bio)sensing, real-time characterization of photonic integrated circuits, and backscattering control in telecom systems.