• Chinese Optics Letters
  • Vol. 16, Issue 8, 081201 (2018)
Muhammad Basharat, Ming Ding*, Yang Li, Hongwei Cai, and Jiancheng Fang
Author Affiliations
  • School of Instrumentation Science & Opto-Electronics Engineering, Beihang University, Beijing 100191, China
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    DOI: 10.3788/COL201816.081201 Cite this Article Set citation alerts
    Muhammad Basharat, Ming Ding, Yang Li, Hongwei Cai, Jiancheng Fang. Noise reduction and signal to noise ratio improvement in magneto-optical polarization rotation measurement[J]. Chinese Optics Letters, 2018, 16(8): 081201 Copy Citation Text show less

    Abstract

    The measurement of an extremely small magneto-optical polarization rotation angle with high sensitivity is integral to many scientific and technological applications. In this Letter, we have presented a technique based on Faraday modulation combined with the optical differential method to measure an extremely small polarization rotation angle with high sensitivity. The theoretical and experimental results show that common mode noise is reduced appreciably and signal to noise ratio is enhanced. The effectiveness of this technique has been demonstrated by measuring the Verdet constant of terbium gallium garnet glass and measuring the small polarization rotation angle. A sensitivity of enhancement of one order of magnitude has been achieved using differential detection based on Faraday modulation.
    EPD=MA×MC×MF×MP×Mi,(1)

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    Mi=E0[10].(2)

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    MP=[1000].(3)

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    MC=[cosφsinφsinφcosφ],(4)

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    MF=[cos(θmsinωt)sin(θmsinωt)sin(θmsinωt)cos(θmsinωt)].(5)

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    MA=[0001].(6)

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    IPD=EPD2=I0sin2(φ+θmsinωt),(7)

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    I(t)I0(θm22+2φθmsinωtθm22cos2ωt).(8)

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    Iω=2I0φθm.(9)

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    Iω=2I0φθm+Noise.(10)

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    θm=VBL,(11)

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    I1=I02sin2(φ+θmsinωt)+c.m.n,(12)

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    I2=I02sin2(θmsinωt)+c.m.n,(13)

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    I1I0(θm24+φθmsinωtθm24cos2ωt)+c.m.n,(14)

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    I2I0(θm24θm24cos2ωt)+c.m.n.(15)

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    S=ηI0φθm,(16)

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    Muhammad Basharat, Ming Ding, Yang Li, Hongwei Cai, Jiancheng Fang. Noise reduction and signal to noise ratio improvement in magneto-optical polarization rotation measurement[J]. Chinese Optics Letters, 2018, 16(8): 081201
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