Parametric conversion via second harmonic generation and two-hump solitons in phase-matched microresonators

Abstract

Frequency conversion in microresonators has revolutionised modern-day nonlinear and quantum optics. Here, we present a theory of the multimode second harmonic generation in microresonators under conditions when the parametric conversion back to the pump spectrum dominates through the large domain in the resonator parameter space. We demonstrate that the spectral tunability of the sideband generation in this regime is governed by a discrete sequence of the so-called Eckhaus instabilities. We report the transition to modelocking and generation of solitons, which have a double-pulse structure in the pump field. These solitons exist outside the bistability interval and on a slightly curved background.

detailed theory and comprehensive numerical data

References in corpus (6)

• Optical frequency combs in quadratically nonlinear resonators
• Coupled-mode theory for microresonators with quadratic nonlinearity
• Bright-soliton frequency combs and dressed states in chi(2) microresonators
• Sech-squared Pockels solitons in the microresonator parametric down-conversion
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• Ladder of Eckhaus instabilities and parametric conversion in chi(2) microresonators