Abstract

We present a quantitative analysis of Kerr effect induced cavity resonance pulling and phase-matching in broadband Kerr frequency comb generation based on the Lugiato–Lefever equation. Unevenly spaced cavity modes are pulled to be evenly spaced by the Kerr effect when cavity solitons are formed. Phase-matching in the cascaded four-wave mixing is achieved simultaneously, giving the cavity solitons strong stability. The number of modes that can be pulled into alignment in the cavity soliton regime depends on the pump condition and decreases exponentially with linearly increasing anomalous dispersion. However, in the chaotic modulation instability and breather soliton regimes, well-aligned cavity modes and phase-matching are not achieved. Compared to intracavity pulse dynamics, the mode-pulling effect and phase-matching are less sensitive to high-order dispersion as long as the cavity solitons stay stable.

© 2014 Optical Society of America

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