• Chinese Optics Letters
  • Vol. 13, Issue Suppl., S21301 (2015)
Lianhuang Li* and Fuyuan Guo
Author Affiliations
  • Key Laboratory of OptoElectronic Science and Technology for Medicine of Ministry of Education, Fujian Provincial Key Laboratory for Photonics Technology, Institute of Laser and Optoelectronics Technology, Fujian Normal University, Fuzhou 350007, China
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    DOI: 10.3788/COL201513.S21301 Cite this Article Set citation alerts
    Lianhuang Li, Fuyuan Guo. Transmission characteristic analysis of slab waveguide[J]. Chinese Optics Letters, 2015, 13(Suppl.): S21301 Copy Citation Text show less

    Abstract

    Definitions of mode-field half-width and divergence half-angle according to different kinds of methods are analyzed in this work. Numerical results of these definitions are given for the fundamental mode and suggest that some of them are more suitable for describing the transmission characteristics of a slab waveguide.
    ωE=12exp[|E(x)|2|E(x)|2dxln|E(x)|2|E(x)|2dxdx],(1)

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    η(ωPIB)=ωPIBωPIB|E(x)|2dx|E(x)|2dx,(2)

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    I(ωN)=Imaxn=|E(x)|max2n,(3)

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    ωSM=[4|E(x)|2x2dx|E(x)|2dx]12,(4)

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    ωDO=[|E(x)|2dx|dE(x)dx|2dx]12.(5)

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    ωSD=[4|E(x)|2x2dx|dE(x)dx|2dx]14,(6)

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    E(x)=cos(Uxa)|x|a,(7)

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    E(x)=cos(U)exp(W)exp(W|xa|)|x|>a,(8)

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    θE=12exp[π2π2|s(γ)|2π2π2|s(γ)|2dγln|s(γ)|2π2π2|s(γ)|2dγdγ],(9)

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    η=θPIBθPIB|S(γ)|2dγπ2π2|S(γ)|2dγ,(10)

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    I(θN)=Imaxn=|S(γ)|max2n.(11)

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    θSM=[4π2π2|S(γ)|2γ2dγπ2π2|S(γ)|2dγ]12,(12)

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    θDO=[π2π2|S(γ)|2dγπ2π2|dS(γ)dγ|2dγ]12,(13)

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    θSD=[4π2π2|S(γ)|2γ2dγπ2π2|dS(γ)dγ|2dγ]14.(14)

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    S(γ)=aV2F2+W2[sinc(FUπ)+sinc(F+Uπ)],(15)

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    Lianhuang Li, Fuyuan Guo. Transmission characteristic analysis of slab waveguide[J]. Chinese Optics Letters, 2015, 13(Suppl.): S21301
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