• Analytical solutions of coupled-mode equations for microring resonators

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      https://www.ias.ac.in/article/fulltext/pram/086/06/1343-1353

    • Keywords

       

      Integrated optics; coupled resonators; analytical solutions; transmission.

    • Abstract

       

      We present a study on analytical solutions of coupled-mode equations for microring resonators with an emphasis on occurrence of all-optical EIT phenomenon, obtained by using a cofactor. As concrete examples, analytical solutions for a $3 \times 3$ linearly distributed coupler and a circularly distributed coupler are obtained. The former corresponds to a non-degenerate eigenvalue problem and the latter corresponds to a degenerate eigenvalue problem. For comparison and without loss of generality, analytical solution for a $4 \times 4$ linearly distributed coupler is also obtained. This paper may be of interest to optical physics and integrated photonics communities.

    • Author Affiliations

       

      ZHAO C Y1 2

      1. College of Science, Hangzhou Dianzi University, Zhejiang 310018, People’s Republic of China
      2. State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, People’s Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

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