Closed-form solutions and scaling laws for Kerr frequency combs.

Abstract:

:A single closed-form analytical solution of the driven nonlinear Schrödinger equation is developed, reproducing a large class of the behaviors in Kerr-comb systems, including bright-solitons, dark-solitons, and a large class of periodic wavetrains. From this analytical framework, a Kerr-comb area theorem and a pump-detuning relation are developed, providing new insights into soliton- and wavetrain-based combs along with concrete design guidelines for both. This new area theorem reveals significant deviation from the conventional soliton area theorem, which is crucial to understanding cavity solitons in certain limits. Moreover, these closed-form solutions represent the first step towards an analytical framework for wavetrain formation, and reveal new parameter regimes for enhanced Kerr-comb performance.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Renninger WH,Rakich PT

doi

10.1038/srep24742

subject

Has Abstract

pub_date

2016-04-25 00:00:00

pages

24742

issn

2045-2322

pii

srep24742

journal_volume

6

pub_type

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