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Analytical Model of Dual-Pumped Kerr Micro-Resonators for Variable Free Spectral Range and Composite Frequency Comb Generation

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Arkadev Roy
  • Raktim Haldar
  • Shailendra K. Varshney

External Research Organisations

  • Indian Institute of Technology Kharagpur (IITKGP)

Details

Original languageEnglish
Pages (from-to)2422-2429
Number of pages8
JournalJournal of lightwave technology
Volume36
Issue number12
Publication statusPublished - 15 Jun 2018
Externally publishedYes

Abstract

We develop an analytical model to understand the generation of tunable free spectral range frequency comb (FC) and composite FC using two competing phenomena, namely nondegenerate four-wave mixing (FWM) and intensity-dependent modulation instability (MI) in dual-pumped micro-resonator configurations. Our analytical approach is based on the popular four-wave model. The MI rate at the onset, corresponding to the most susceptible frequency component that conditionally accompanies threshold-less comb generation in case of dual pump, is derived. Based on the analytical model, the mutual interplay of nondegenerate FWM and threshold intensity-dependent MI is investigated in detail for the comb generation process, and their regions of operations are clearly demarcated. The proposed analytical model provides a deterministic and quick estimation of micro-resonator parameters for generating a variety of FCs while avoiding the computationally intensive route of solving the Lugiato-Lefever equation. A close agreement between the analytical and numerical simulation is found.

Keywords

    Composite comb, dual-pump, four-wave mixing, Kerr frequency comb, modulation instability

ASJC Scopus subject areas

Cite this

Analytical Model of Dual-Pumped Kerr Micro-Resonators for Variable Free Spectral Range and Composite Frequency Comb Generation. / Roy, Arkadev; Haldar, Raktim; Varshney, Shailendra K.
In: Journal of lightwave technology, Vol. 36, No. 12, 15.06.2018, p. 2422-2429.

Research output: Contribution to journalArticleResearchpeer review

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AU - Roy, Arkadev

AU - Haldar, Raktim

AU - Varshney, Shailendra K.

PY - 2018/6/15

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N2 - We develop an analytical model to understand the generation of tunable free spectral range frequency comb (FC) and composite FC using two competing phenomena, namely nondegenerate four-wave mixing (FWM) and intensity-dependent modulation instability (MI) in dual-pumped micro-resonator configurations. Our analytical approach is based on the popular four-wave model. The MI rate at the onset, corresponding to the most susceptible frequency component that conditionally accompanies threshold-less comb generation in case of dual pump, is derived. Based on the analytical model, the mutual interplay of nondegenerate FWM and threshold intensity-dependent MI is investigated in detail for the comb generation process, and their regions of operations are clearly demarcated. The proposed analytical model provides a deterministic and quick estimation of micro-resonator parameters for generating a variety of FCs while avoiding the computationally intensive route of solving the Lugiato-Lefever equation. A close agreement between the analytical and numerical simulation is found.

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KW - Composite comb

KW - dual-pump

KW - four-wave mixing

KW - Kerr frequency comb

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