• Chinese Optics Letters
  • Vol. 17, Issue 1, 010602 (2019)
Md. Ziaul Amin1、*, Khurram Karim Qureshi2、**, and Md. Mahbub Hossain3、***
Author Affiliations
  • 1MQ Photonics, School of Engineering, Macquarie University, New South Wales 2109, Australia
  • 2Department of Electrical Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
  • 3Electronics and Communication Engineering Discipline, Khulna University, Khulna 9208, Bangladesh
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    DOI: 10.3788/COL201917.010602 Cite this Article Set citation alerts
    Md. Ziaul Amin, Khurram Karim Qureshi, Md. Mahbub Hossain. Doping radius effects on an erbium-doped fiber amplifier[J]. Chinese Optics Letters, 2019, 17(1): 010602 Copy Citation Text show less

    Abstract

    In an erbium-doped fiber amplifier (EDFA), erbium ions act as a three-level system. Therefore, much higher pump energy is required to achieve the population inversion in an erbium-doped fiber (EDF). This higher pump energy requirement complicates the efficient design of an EDFA. However, efficient use of the pump power can improve the EDFA performance. The improved performance of an EDFA can be obtained by reducing the doping radius of the EDF. A smaller doping radius increases pump–dopant interactions and subsequently increases the pump–photon conversion efficiency. Decreasing the doping radius allows a larger proportion of dopant ions, which are concentrated near the core, to interact with the highest pump intensity. However, decreasing the doping radius beyond a certain limit will bring the dopant ions much closer and introduce detrimental ion–ion interaction effects. In this Letter, we show that an optimal doping radius in an EDF can provide the best gain performance. Moreover, we have simulated the well-known numerical aperture effects on EDFA gain performance to support our claim.
    Ip(r,Φ,z)=fp(r,Φ)Ip(z),(1)

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    Is(r,Φ,z)=fs(r,Φ)Is(z),(2)

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    02πdΦ0fp,s(r,Φ)rdr=1.(3)

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    Ni(r,Φ,z)=g(r,Φ)Ni(z),(4)

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    Γp,s=02πdΦ0afp,s(r,Φ)g(r,Φ)rdr,(5)

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    dN2(r,Φ,z,t)dt=σapIp(r,Φ,z)hνpN1(r,Φ,z,t)+σasIs(r,Φ,z)hνsN1(r,Φ,z,t)σesIs(r,Φ,z)hνsN2(r,Φ,z,t)A21N2(r,Φ,z,t),(6)

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    N1(r,Φ,z,t)+N2(r,Φ,z,t)=N0(r,Φ,z,t).(7)

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    dIp(r,Φ,z)dz=σapN1(r,Φ,z,t)Ip(r,Φ,z),(8)

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    dIs(r,Φ,z)dz=[σesN2(r,Φ,z,t)σasN1(r,Φ,z,t)]×[Is(r,Φ,z)].(9)

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    N2(r,Φ,z,t)N1(r,Φ,z,t)>σasσes.(10)

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    Ith=σashνpσesσapτ21.(11)

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    ψ01(λp,r)={J02(upra),forraJ02(up)K02(wp)K02(wpra),forr>a,(12)

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    Md. Ziaul Amin, Khurram Karim Qureshi, Md. Mahbub Hossain. Doping radius effects on an erbium-doped fiber amplifier[J]. Chinese Optics Letters, 2019, 17(1): 010602
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