• Photonics Research
  • Vol. 5, Issue 6, B47 (2017)
Yuta Kawashima1, Susumu Shinohara1、*, Satoshi Sunada2, and Takahisa Harayama1
Author Affiliations
  • 1Department of Applied Physics, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
  • 2Faculty of Mechanical Engineering, Institute of Science and Engineering, Kanazawa University, Kakuma-machi, Kanazawa, Ishikawa 920-1192, Japan
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    DOI: 10.1364/PRJ.5.000B47 Cite this Article Set citation alerts
    Yuta Kawashima, Susumu Shinohara, Satoshi Sunada, Takahisa Harayama. Self-adjustment of a nonlinear lasing mode to a pumped area in a two-dimensional microcavity [Invited][J]. Photonics Research, 2017, 5(6): B47 Copy Citation Text show less

    Abstract

    We numerically performed wave dynamical simulations based on the Maxwell–Bloch (MB) model for a quadrupole-deformed microcavity laser with spatially selective pumping. We demonstrate the appearance of an asymmetric lasing mode whose spatial pattern violates both the x- and y-axes mirror symmetries of the cavity. Dynamical simulations revealed that a lasing mode consisting of a clockwise or counterclockwise rotating-wave component is a stable stationary solution of the MB model. From the results of a passive-cavity mode analysis, we interpret these asymmetric rotating-wave lasing modes by the locking of four nearly degenerate passive-cavity modes. For comparison, we carried out simulations for a uniform pumping case and found a different locking rule for the nearly degenerate modes. Our results demonstrate a nonlinear dynamical mechanism for the formation of a lasing mode that adjusts its pattern to a pumped area.
    2t2(Ez+4πεPz)=c2n22Ez2βtEz,(1)

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    Pz=N(ρ+ρ*)κ,(2)

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    tρ=iω0ρiκWEzγρ,(3)

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    tW=2iκEz(ρρ*)γ(WW),(4)

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    r(θ)=r0[1+ϵcos(2θ)],(5)

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    (2+n2ω2c2)ψ(x,y)=0,(6)

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    ψab(x,y)=aψab(x,y),(7)

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    ψab(x,y)=bψab(x,y),(8)

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    2πNκ2Wn2γReωs(Reωsω0)2+γ2>Imωs+β,(9)

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    W=WDdxdy|ψ(x,y)|2Θ(x,y)Ddxdy|ψ(x,y)|2,(10)

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    ξψee+ψeo,(11)

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    ηψoe+ψoo.(12)

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    ΨCWξ+iη=(ψee+ψeo)+i(ψoe+ψoo),(13)

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    ΨCCWξiη=(ψee+ψeo)i(ψoe+ψoo).(14)

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    Yuta Kawashima, Susumu Shinohara, Satoshi Sunada, Takahisa Harayama. Self-adjustment of a nonlinear lasing mode to a pumped area in a two-dimensional microcavity [Invited][J]. Photonics Research, 2017, 5(6): B47
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