Carrier envelope phase dynamics of cavity solitons: soliton stability and scaling law
Chengying Bao, Changxi Yang

TL;DR
This paper analytically and numerically explores the relationship between carrier envelope phase slip and pump phase detuning in cavity solitons, revealing conditions for stability and deriving a scaling law.
Contribution
It introduces a novel analytical and numerical framework linking CEP slip and pump phase detuning, establishing a stability criterion and a new scaling law for cavity solitons.
Findings
CEP slip equals pump phase detuning for stable cavity solitons
Failure of CEP slip to follow detuning leads to instability
A new scaling law for cavity solitons is derived
Abstract
The relationship between carrier envelope phase (CEP) slip of cavity soliton (CS) and pump phase detuning is derived analytically and numerically. To preserve the stability of CS, CEP slip always equals to the pump phase detuning. When CEP slip fails to follow the pump phase detuning, CS becomes unstable. The locking between CEP slip and pump phase detuning results in a scaling law for CS.
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