• Chinese Optics Letters
  • Vol. 14, Issue 6, 061201 (2016)
Yu Zhu, Leijie Wang, Ming Zhang*, Sen Lu, Kaiming Yang, and Chuxiong Hu
Author Affiliations
  • State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China
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    DOI: 10.3788/COL201614.061201 Cite this Article Set citation alerts
    Yu Zhu, Leijie Wang, Ming Zhang, Sen Lu, Kaiming Yang, Chuxiong Hu. Novel homodyne frequency-shifting interference pattern locking system[J]. Chinese Optics Letters, 2016, 14(6): 061201 Copy Citation Text show less

    Abstract

    We present a novel homodyne frequency-shifting interference pattern locking system to enhance the exposure contrast of interference lithography and scanning beam interference lithography (SBIL). The novel interference pattern locking system employs a special homodyne redundant phase measurement interferometer (HRPMI) as the sensor and an acousto-opto modulator (AOM) as the actuator. The HRPMI offers the highly accurate value as well as the direction recognition of the interference pattern drift from four quadrature interference signals. The AOM provides a very fine resolution with a high speed for phase modulation. A compact and concise system with a short optical path can be achieved with this new scheme and a small power laser head in tens of microwatts is sufficient for exposure and phase locking, which results in a relatively low-cost system compared with the heterodyne system. More importantly, the accuracy of the system is at a high level as well as having robustness to environmental fluctuation. The experiment results show that the short-time (4 s) accuracy of the system is ±0.0481 rad(3σ) at present. Moreover, the phase of the interference pattern can also be set arbitrarily to any value with a high accuracy in a relatively large range, which indicates that the system can also be extended to the SBIL application.
    El=El0expi(2πf1t+ksinθx+kcosθz+2πOPlλ),(1)

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    Er=Er0expi(2πf2tksinθx+kcosθz+2πOPrλ),(2)

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    IE=(El+Er)(El*+Er*)=Il+Ir+2IlIrcos[Φ(x)],(3)

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    Φ(x)=2π(xΛ+OPDλ),(4)

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    Λ=λ2sinθ.(5)

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    φdrift=2π(OPDλOPD+ΔOPD(λ+Δλ))=2πΔλOPDλΔOPDλ(λ+Δλ),(6)

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    φdriftφHRPMI,(7)

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    φshift=2π0T(f2f1)dt=2π0TΔfdt,(8)

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    φshift+φHRPMI=0,(9)

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    {I1=I0+I0sin(φHRPMI)I2=I0I0sin(φHRPMI)I3=I0+I0cos(φHRPMI)I4=I0I0cos(φHRPMI),(10)

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    {Ssin=I1I2I1+I2=sin(φHRPMI),Scos=I3I4I3+I4=cos(φHRPMI).(11)

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    φHRPMI=arctan(SsinScos).(12)

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    φerror=2πΔnLλv,(13)

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    Yu Zhu, Leijie Wang, Ming Zhang, Sen Lu, Kaiming Yang, Chuxiong Hu. Novel homodyne frequency-shifting interference pattern locking system[J]. Chinese Optics Letters, 2016, 14(6): 061201
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