• Chinese Optics Letters
  • Vol. 16, Issue 7, 070501 (2018)
Changcheng Xiang1、2, Changhe Zhou1、*, Wei Jia3, and Jun Wu1
Author Affiliations
  • 1Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
  • 3Institute of Photonics Technology, Jinan University, Guangzhou 510632, China
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    DOI: 10.3788/COL201816.070501 Cite this Article Set citation alerts
    Changcheng Xiang, Changhe Zhou, Wei Jia, Jun Wu. Five-port beam splitter of a single-groove grating[J]. Chinese Optics Letters, 2018, 16(7): 070501 Copy Citation Text show less

    Abstract

    A single-groove grating for five-port TE-polarization beam splitting under normal incidence at the wavelength of 1550 nm is presented. The transmitted diffraction efficiency of the gratings is over 94.5% with uniformity better than 2%. A physical view of diffraction inside the grating is presented by the simplified modal method (SMM). Initial parameters of the grating profiles are obtained by use of SMM and then optimized by employing rigorous coupled-wave analysis and the simulated annealing algorithm.
    Eyq(x)=uq(x)exp(inq,effz),(1)

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    1Λ0Λup(x)uq*(x)dx=δpq.(2)

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    cos(βg)cos(γc)β2+γ2β2γ2sin(βg)sin(γc)=1,(3)

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    exp(ikx0x)=qJq0uq(x),(4)

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    qexp(ik0nq,effh)Jq0uq(x)=p,qJqp*exp(ik0nq,effh)Jq0exp(ikxpx),(5)

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    Jqm=1Λ0Λexp(ikxmx)uq*(x)dx,(6)

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    Jqm*=1Λ0Λuq(x)exp(ikxmx)dx,(7)

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    βtan(βc2)+γtan(γg2)=0.(8)

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    η0=|qQJq0*exp(ik0nq,effh)Jq0|2,(9)

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    η1=η1=|qQJq1*exp(ik0nq,effh)Jq0|2,(10)

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    η2=η2=|qQJq2*exp(ik0nq,effh)Jq0|2,(11)

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    U=ηmaxηminηmax+ηmin,(12)

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    ϕ(Λ,h)=i=22(ηiη¯)i=22ηi,(13)

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    Changcheng Xiang, Changhe Zhou, Wei Jia, Jun Wu. Five-port beam splitter of a single-groove grating[J]. Chinese Optics Letters, 2018, 16(7): 070501
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