• Photonics Research
  • Vol. 7, Issue 6, 642 (2019)
Hao Hu1, Liangliang Liu1、2、3, Xiao Hu1, Dongjue Liu1, and Dongliang Gao4、5
Author Affiliations
  • 1School of Electrical and Electronic Engineering, Nanyang Technological University, 639798 Singapore, Singapore
  • 2Research Center of Applied Electromagnetics, School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China
  • 3e-mail: llliu@ntu.edu.sg
  • 4School of Physical Science and Technology, Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China
  • 5e-mail: dlgao@suda.edu.cn
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    DOI: 10.1364/PRJ.7.000642 Cite this Article Set citation alerts
    Hao Hu, Liangliang Liu, Xiao Hu, Dongjue Liu, Dongliang Gao. Routing emission with a multi-channel nonreciprocal waveguide[J]. Photonics Research, 2019, 7(6): 642 Copy Citation Text show less

    Abstract

    In this work, we present a multi-channel nonreciprocal waveguide, which is composed of a gyrotropic-bounded dielectric on the bottom and a plasmonic material on the top. The Lorentz reciprocity in the time-invariant system is broken when applying an external static magnetic field on the gyrotropic material. The nonreciprocal emission from the dipole source located in the center of the waveguide is observed in extended waveband channels. The proposed heterostructure serves as a photonic dichroism once the dielectric is replaced by a nonlinear material. The associated second harmonic generated in the nonlinear process can be separated from the fundamental signal under proper magnetic field intensity. Our findings may provide significant guidance for designing nonreciprocal photonic devices with superiorities of a tunable waveband, multiple channels, and small footprint.
    ε¯¯=ϵ1[εtiεg0iεgεt000εa],(1)

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    εm=ϵ2[1ωp22ω(ω+iγ2)].(2)

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    Hzf={dkxCTM+eikymyeikxxy>ddkx(BTM+eikydy+BTMeikydy)eikxxd<y<ddkxCTMeikygyeikxxy<d,(3)

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    Exf=1ωε0{dkxSmCTM+eikymyeikxxy>ddkxSd(BTM+eikydyBTMeikydy)eikxxd<y<ddkx(SgCTMeikygyeikxx)y<d.(4)

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    e4ikydd=(Sg+Sd)(Sm+Sd)(SmSd)(SgSd).(5)

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    Hzs=dkxAeikyd|y|eikxx,(6)

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    Exs=1ωε0dkxSd[sgn(y)Aeikyd|y|]eikxx.(7)

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    Hzt=Hzf+Hzs,(8)

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    Ext=Exf+Exs,(9)

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    BTM+=(SdSm)(SgSd)e2ikydd(SdSg)(Sm+Sd)(SmSd)(SgSd)e2ikydd(Sg+Sd)(Sm+Sd)e2ikyddA,(10)

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    BTM=(SdSm)(SgSd)e2ikydd(SdSm)(Sg+Sd)(SmSd)(SgSd)e2ikydd(Sg+Sd)(Sm+Sd)e2ikyddA,(11)

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    CTM+=BTM+ei(kydkym)d+BTMei(kyd+kym)d+Aei(kydkym)d,(12)

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    CTM=BTM+ei(kyd+kyg)d+BTMei(kydkyg)d+Aei(kydkyg)d.(13)

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    D1=PL(ω)PL(ω)+PL(ω),(14)

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    D2=PL(ω)PL(ω)+PL(ω),(15)

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    Hao Hu, Liangliang Liu, Xiao Hu, Dongjue Liu, Dongliang Gao. Routing emission with a multi-channel nonreciprocal waveguide[J]. Photonics Research, 2019, 7(6): 642
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