• Photonics Research
  • Vol. 4, Issue 2, 0035 (2016)
Rulei Xiao, Yuechun Shi*, Renjia Guo, Ting Chen, Lijun Hao, and Xiangfei Chen
Author Affiliations
  • National Laboratory of Solid State Microstructures, Collaborative Innovation Center of Advanced Microstructures, and College of Engineering and Applied Sciences, Nanjing University, Nanjing 210093, China
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    DOI: 10.1364/prj.4.000035 Cite this Article Set citation alerts
    Rulei Xiao, Yuechun Shi, Renjia Guo, Ting Chen, Lijun Hao, Xiangfei Chen. Periodic structural defects in Bragg gratings and their application in multiwavelength devices[J]. Photonics Research, 2016, 4(2): 0035 Copy Citation Text show less

    Abstract

    In this paper, we present the finding that periodic structural defects (PSDs) along a Bragg grating can shift the Bragg wavelength. This effect is theoretically analyzed and confirmed by numerical calculation. We find that the Bragg wavelength shift is determined by the defect size and the period of the defects. The Bragg wavelength can be well tuned by properly designing the PSDs, and this may provide an alternative method to fabricate grating-based multiwavelength devices, including optical filter arrays and laser arrays. In regards to wavelength precision, the proposed method has an advantage over the traditional methods, where the Bragg wavelengths are changed directly by changing the grating period. In addition, the proposed method can maintain grating strength when tuning the wavelength since only the period of defects is changed. This will be a benefit for devices such as arrays.(BK20130585, BK20140414), the National Natural Science Foundation of China (61435014, 61504170, 61504058), and the National 863 Program (2015AA016902).
    Δn(z)=Δn0exp(i2πΛz)+c.c.,(1)

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    Δn(z)=Δn0exp{i[2πΛz+ϕ(z)]}+c.c..(2)

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    ϕ(z)=kφforkP<z<(k+1)P.(3)

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    ϕ(z)=φPz+(kφφPz),forkP<z<(k+1)P,(4)

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    Δn(z)=Δn0mFmexp[i(2πΛ+φP+2πmP)z]+c.c.,(5)

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    Fm=i[exp(iφ)1]φ+2πm.(6)

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    Λm=11Λ+(m+φ2π)1P.(7)

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    Λ0=Λ1DP,(8)

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    |Fm|=|sin(απ)π(m+α)|,(9)

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    rtot(λ)=l=0N|r(λ)|exp{ϕ(λ)+l[φ+ψ(P,λ)]},(10)

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    R(λ)=|rtot(λ)|2=|r(λ)|2sin2(Nγ/2)sin2(γ/2),forγ=φ+ΔλπPnΛ2.(11)

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    Δλ=2nΛDP.(12)

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    Λ0=Λ{1+DP+(DP)2+o[(DP)2]}Λ[1+DP+(DP)2].(13)

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    ΔSP=SPerrorSP0ΔDΔdPP2,(14)

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    Δλ2neffΛΔPP2.(15)

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    1Λavr=xΛ1+1xΛ2,(16)

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    RGS=|sin[2πx(1x)ΩP]2πx(1x)ΩP|,(17)

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    Rulei Xiao, Yuechun Shi, Renjia Guo, Ting Chen, Lijun Hao, Xiangfei Chen. Periodic structural defects in Bragg gratings and their application in multiwavelength devices[J]. Photonics Research, 2016, 4(2): 0035
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