• Chinese Optics Letters
  • Vol. 14, Issue 6, 060601 (2016)
Yang Yu, Shangyuan Li, Xiaoping Zheng*, Hanyi Zhang, and Bingkun Zhou
Author Affiliations
  • Tsinghua National Laboratory for Information Science and Technology, Department of Electronic Engineering, Tsinghua University, Beijing 100084, China
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    DOI: 10.3788/COL201614.060601 Cite this Article Set citation alerts
    Yang Yu, Shangyuan Li, Xiaoping Zheng, Hanyi Zhang, Bingkun Zhou. Sidelobe suppression analysis of microwave photonic filter based on spectrum-shaped optical frequency combs[J]. Chinese Optics Letters, 2016, 14(6): 060601 Copy Citation Text show less

    Abstract

    A finite impulse-response microwave photonic filter is typically achieved based on spectrum-shaped optical frequency combs and a dispersive element. We propose an analytical model to describe the amplitude responses of the sidelobes. The model shows that the sidelobe suppression ratio is limited by the spectrum structure of the optical combs. By taking Gaussian-profiled combs as an example, it is both theoretically and experimentally proved that the suppression ratio can be improved by optimizing the spectral power range, which is defined as the ratio of the maximum tap weight to the minimum tap weight.
    Φ(ω)=exp[j(Φ0+Φ1ω+12Φ2ω2)],(1)

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    E(t)=n=0L1Pnej(ω0+nωr)t+jθn,(2)

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    H(Ω)=H0exp(jΦ2Ω2/2)n=0L1PnejnΩΦ2ωr,(3)

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    S=n=0L1(1)nf(a+nbaL)=12[f(aba2L)(1)Lf(b+ba2L)]+O[(baL)2]12[f(a)(1)Lf(b)],(4)

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    H(Ω)=H0ejΦ2Ω2/2n=0L1(1)n(Pnejn(Ωπ)Φ2ωr)H0ejΦ2Ω2/2[P0+PL1ej(L1)ΩΦ2ωr],(5)

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    R=10log10(max{Pn}/min{Pn}).(6)

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    Pn=Pexp[12(α1L+2n1L)2],(7)

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    R=(5/ln10)α2.(8)

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    MSSR2R+b.(9)

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    Yang Yu, Shangyuan Li, Xiaoping Zheng, Hanyi Zhang, Bingkun Zhou. Sidelobe suppression analysis of microwave photonic filter based on spectrum-shaped optical frequency combs[J]. Chinese Optics Letters, 2016, 14(6): 060601
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