Adiabatic Growing, Multistability, and Control of Soliton-comb States in χ⁽²⁾ Microresonators for Pumping into Second-harmonic Modes

Realization of soliton-combs regimes in (Formula Presented.) microresonators is an important and timely problem. No regular techniques for its solution is known so far. We propose and develop a general method of how to achieve and control numerous stable soliton states possessing spectrally broad combs in the first harmonic and second harmonic frequency domains. The method is based on combining special choices of experimentally controlled frequency detunings with a slow adiabatic increase in the pump power starting from near-threshold values. This ensures stability and accessibility of the steady-state regimes. The found new nonlinear solutions are relevant to pumping into SH modes. This allows for the excitation of single- and multi-soliton states of different spatial symmetry—periodic and antiperiodic.