A study is made of the nonlinear dynamics of dual pumped microresonator Kerr frequency combs described by a driven and damped nonlinear Schr¨odinger equation, with an additional degree of freedom in the form of the modulation frequency. A truncated four wave model is derived for the pump modes and the dominant sideband pair which is found to be able to describe much of the essential dynamical behaviour of the full equation. The stability of stationary states within the four wave model is investigated and numerical simulations are made to demonstrate that a large range of solutions, including cavity solitons, are possible beyond previously considered low intensity patterns.

Bichromatically pumped microresonator frequency combs / Hansson, Hans Evert Tobias; Wabnitz, Stefan. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 90:(2014), p. 013811. [10.1103/PhysRevA.90.013811]

Bichromatically pumped microresonator frequency combs

WABNITZ, Stefan
2014

Abstract

A study is made of the nonlinear dynamics of dual pumped microresonator Kerr frequency combs described by a driven and damped nonlinear Schr¨odinger equation, with an additional degree of freedom in the form of the modulation frequency. A truncated four wave model is derived for the pump modes and the dominant sideband pair which is found to be able to describe much of the essential dynamical behaviour of the full equation. The stability of stationary states within the four wave model is investigated and numerical simulations are made to demonstrate that a large range of solutions, including cavity solitons, are possible beyond previously considered low intensity patterns.
2014
Dynamics; nonlinear equations; solitons
01 Pubblicazione su rivista::01a Articolo in rivista
Bichromatically pumped microresonator frequency combs / Hansson, Hans Evert Tobias; Wabnitz, Stefan. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 90:(2014), p. 013811. [10.1103/PhysRevA.90.013811]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1214472
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