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Gain Enhanced Second Harmonic Generation in Coupled Resonators System

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Abstract

Optical resonator is an excellent platform with the property of high optical field localization which has found many applications in classical nonlinear optics, microwave and quantum photonics. Here, in this work, we study the second harmonic nonlinear effect with coupled optical resonators system. We first present a Parity-Time symmetric dimer system consists the active-passive coupled microresonators. One passive resonator is made of material with second-order nonlinearity been considered under the pumping. By theoretically solved the eigenvalues of the system, we observe the exceptional points of the system under different coupling conditions and different loss rates. In addition, the efficiencies of second-harmonic effect are studied. Especially under the exceptional points, the efficiency of second harmonic generation would approach the maximal value, which are 6.04 × 1022 and 6.05 × 1022, respectively, and increases with the coupling g.

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Acknowledgements

The authors gratefully acknowledge the support from the National Natural Science Foundation of China through Grants No. 62071448, and the Fundamental Research Funds for the Central Universities (BNU).

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  1. Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Xin-Xin Lv & Tie-Jun Wang

  2. Beijing Normal University, Beijing, 100875, China

    Chuan Wang

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  1. Xin-Xin Lv
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Correspondence to Chuan Wang.

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Lv, XX., Wang, TJ. & Wang, C. Gain Enhanced Second Harmonic Generation in Coupled Resonators System. Int J Theor Phys 61, 3 (2022). https://doi.org/10.1007/s10773-022-04977-3

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