Soliton crystals in optical Kerr microresonators in the presence of thermo-optic effects

Cho, Blanche Azah Bei; Ngek, Isaiah Ndifon; Dikandé, Alain M.

doi:10.1088/2040-8986/ac97a7

Cited by 5 publications

(2 citation statements)

References 31 publications

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“…Tis highlights the possibility of controlling the width of the Kerr frequency combs with the fourth-order dispersion term. Future works will address the infuence of thermo-optic efects on the widths of the hysteresis and the frequency combs spectra in microresonators [37].…”

Section: Discussionmentioning

confidence: 99%

Effect of the Dispersion Orders on the Widths of the Coexistence Domain and Combs Spectra of Bright and Dark Solitons in Microresonators

Kangmafo Miendjim,

Kammegne,

Tamo Tatietse

et al. 2023

International Journal of Optics

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Using the Lugiato–Lefever model, we base on the hysteresis approach to analyze the coexistence domain of bright and dark solitons in the zero, normal, and anomalous dispersion regimes. Our results also highlight that the fourth-order dispersion term affects the width of the frequency combs of both dark and bright solitons. It also allows the appearance of dispersive waves on the soliton spectra that disappear for high values of the fourth-order dispersion followed by the soliton destabilization into harmonic oscillations and oscillation packages.

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Section: Discussionmentioning

confidence: 99%

Effect of the Dispersion Orders on the Widths of the Coexistence Domain and Combs Spectra of Bright and Dark Solitons in Microresonators

Kangmafo Miendjim,

Kammegne,

Tamo Tatietse

et al. 2023

International Journal of Optics

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“…The left side of the equation is a quadratic function with respect to 𝑘 2 . For the (19) to hold, the following conditions must be satisfied 1) Discriminant ∆> 0, meaning ∆= I h 2 − 1 > 0.…”

Section: A Steady-state Solutions and Their Stabilitymentioning

confidence: 99%

Stability Analysis of Localized States and Deterministic Single Soliton Generation in a Kerr Microresonator Under Thermo-Optic Nonlinear Effects

Fang,

Xia,

Jiao

et al. 2024

IEEE Photonics J.

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Thermal effects are ubiquitous in high-quality resonators and microcomb-based high precision measurements. We present a stability analysis of the thermodynamics in a driven Kerr microresonator theoretically and numerically, using the thermal Lugiato-Lefever model. We analyze the spatial bifurcation structure and existence range of stationary states depending on the thermal parameters. Our study shows that, the thermal effect causes the original bifurcation structure to change from Hamiltonian-Hopf bifurcation to Belyakov-Devaney bifurcation. In addition, a stability map of various stationary regions in the parameter space of cavity detuning and the pump power is achieved through numerical simulations of thermal Lugiato-Lefever equation, and we propose a deterministic route to obtain the stable cavity soliton state avoiding the chaotic and unstable regions under the influence of thermal effects. Our approach has potential value for obtaining stable solitary Kerr comb sources under practical conditions.

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Soliton trains induced by femtosecond laser filamentations in transparent materials with saturable nonlinearity

Dikandé

2023

Journal of Applied Physics

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Femtosecond laser inscriptions in optical media current offer the most reliable optical technology for processing of transparent materials, among which is the laser micromachining technology. In this process, the nonlinearity of the transparent medium can be either intrinsic or induced by multiphoton ionization processes. In this work, a generic model is proposed to describe the dynamics of femtosecond laser inscription in transparent materials characterized by a saturable nonlinearity. The model takes into account multiphoton ionization processes that can induce an electron plasma of inhomogeneous density and electron diffusions. The mathematical model is represented by a one-dimensional complex Ginzburg–Landau equation with a generalized saturable nonlinearity term in addition to the residual nonlinearity related to multiphoton ionization processes, coupled to a rate equation for time evolution of the electron plasma density. Dynamical properties of the model are investigated focusing on the nonlinear regime, where the model equations are transformed into a set of coupled first-order nonlinear ordinary differential equations, which are solved numerically with the help of a sixth-order Runge–Kutta algorithm with a fixed time step. Simulations reveal that upon propagation, spatiotemporal profiles of the optical field and of the plasma density are periodic pulse trains, the repetition rates and amplitudes of which are increased with an increase of both the multiphoton ionization order and the saturable nonlinearity. When electron diffusions are taken into account, the system dynamics remains qualitatively unchanged; however, the electron plasma density gets strongly depleted, leaving almost unchanged the amplitude of pulses composing the femtosecond laser soliton crystals.

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Soliton crystals in optical Kerr microresonators in the presence of thermo-optic effects

Cited by 5 publications

References 31 publications

Effect of the Dispersion Orders on the Widths of the Coexistence Domain and Combs Spectra of Bright and Dark Solitons in Microresonators

Effect of the Dispersion Orders on the Widths of the Coexistence Domain and Combs Spectra of Bright and Dark Solitons in Microresonators

Stability Analysis of Localized States and Deterministic Single Soliton Generation in a Kerr Microresonator Under Thermo-Optic Nonlinear Effects

Soliton trains induced by femtosecond laser filamentations in transparent materials with saturable nonlinearity

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