• Chinese Optics Letters
  • Vol. 14, Issue 10, 102304 (2016)
Wei Jiang1、2、3 and Yating Zhou2、3、4、*
Author Affiliations
  • 1College of Engineering and Applied Sciences & National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China
  • 2Department of Electrical and Computer Engineering, Rutgers University, Piscataway, New Jersey 08854, USA
  • 3Institute for Advanced Materials, Devices, and Nanotechnology, Rutgers University, Piscataway, New Jersey 08854, USA
  • 4School of Mathematics and Physics & Chemical Engineering, Changzhou Institute of Technology, Changzhou 213002, China
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    DOI: 10.3788/COL201614.102304 Cite this Article Set citation alerts
    Wei Jiang, Yating Zhou. Coverage of coherent output states in parallel-coupled dual-racetrack microresonators[J]. Chinese Optics Letters, 2016, 14(10): 102304 Copy Citation Text show less

    Abstract

    Parallel-coupled dual-racetrack silicon microresonators can potentially be used for quadrature amplitude modulation. We analyze the evolution of the coverage of coherent output states of devices with varying device parameters. As the coupling constant increases, the coverage of coherent states initially improves then degrades, which is unexpected based on a prior preference for overcoupling. Increasing the quality factor generally improves the coverage. The influence of the refractive index modulation is found to saturate after reaching a certain level. Analytic formulas are developed to provide insight into the coverage evolution. These results are fairly robust against a small asymmetry of device parameters.
    b2=eiϕ[1+2(c1+1/2)(1/2c1)(1/Δu1+1/Δu3)+1],(1)

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    Δun1eiϕ+iθnηn1,n=1,3,(2)

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    η1=2c1=cos2κL.(3)

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    ϕ+θ1=2m1πΔθ,ϕ+θ3=2m3π+Δθ,(4a)

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    cosΔθ=η1[1+c1(1/η121)c1+1/2],(4b)

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    Eout=b2/eiϕ.(5)

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    1Δu1+1Δu3=2Re1Δu1=2cosΔθ/η121/η12+12cosΔθ/η1.(6)

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    minRe(Eout)=[1+(2c1+1)(12c1)/(1/η11)+1],(7)

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    maxRe(Eout)=[1+(2c1+1)(12c1)/(1/η1+1)+1].(8)

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    Wei Jiang, Yating Zhou. Coverage of coherent output states in parallel-coupled dual-racetrack microresonators[J]. Chinese Optics Letters, 2016, 14(10): 102304
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