• Acta Optica Sinica
  • Vol. 38, Issue 6, 0605001 (2018)
Sen Lu1、2、*, Kaiming Yang1、2、*, Yu Zhu1、2, Leijie Wang1、2, and Ming Zhang1、2
Author Affiliations
  • 1 State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China
  • 2 Beijing Key Laboratory of Precision/Ultra-Precision Manufacturing Equipments and Control, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China
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    DOI: 10.3788/AOS201838.0605001 Cite this Article Set citation alerts
    Sen Lu, Kaiming Yang, Yu Zhu, Leijie Wang, Ming Zhang. Design and Analysis of Scanning Beam Interference Lithography Optical System Based on Far-Field Interference[J]. Acta Optica Sinica, 2018, 38(6): 0605001 Copy Citation Text show less
    Schematic of SBIL system
    Fig. 1. Schematic of SBIL system
    Relationship between beam waist radius and waist-to-substrate distance
    Fig. 2. Relationship between beam waist radius and waist-to-substrate distance
    Diagram of single light path design
    Fig. 3. Diagram of single light path design
    Far-field interference of Gaussian beams
    Fig. 4. Far-field interference of Gaussian beams
    Wavefront curvature distribution curve of Gaussian beam
    Fig. 5. Wavefront curvature distribution curve of Gaussian beam
    Nonlinear error distribution of phase without assembly error (unit of error data in curves is nm)
    Fig. 6. Nonlinear error distribution of phase without assembly error (unit of error data in curves is nm)
    Nonlinear error distribution of phase with waist-to-substrate assembly errors (unit of error data in curves is nm). (a) dR: -1 mm; (b) dR: -20 mm, dL: -20 mm; (c) dR: -21 mm, dL: -20 mm
    Fig. 7. Nonlinear error distribution of phase with waist-to-substrate assembly errors (unit of error data in curves is nm). (a) dR: -1 mm; (b) dR: -20 mm, dL: -20 mm; (c) dR: -21 mm, dL: -20 mm
    Nonlinear error distribution of phase with waist radius errors (unit of error data in curves is nm)
    Fig. 8. Nonlinear error distribution of phase with waist radius errors (unit of error data in curves is nm)
    Nonlinear error distribution of phase with two kind of assembly errors (unit of error data in curves is nm)
    Fig. 9. Nonlinear error distribution of phase with two kind of assembly errors (unit of error data in curves is nm)
    Nonlinear error distribution of phase with worst assembly errors (unit of error data in curves is nm)
    Fig. 10. Nonlinear error distribution of phase with worst assembly errors (unit of error data in curves is nm)
    Schematic of Gaussian beam through circular aperture
    Fig. 11. Schematic of Gaussian beam through circular aperture
    Curves of approximate characteristics of Gaussian beam versus aperture radius
    Fig. 12. Curves of approximate characteristics of Gaussian beam versus aperture radius
    Nonlinear error distribution of phase when ωo=37.05 μm (unit of error data in curves is nm)
    Fig. 13. Nonlinear error distribution of phase when ωo=37.05 μm (unit of error data in curves is nm)
    Nonlinear error distribution of phase when d=275 mm (unit of error data in curves is nm)
    Fig. 14. Nonlinear error distribution of phase when d=275 mm (unit of error data in curves is nm)
    Parameterω' /mmz' /mβ /mradb /m
    Input0.350.7430.651.084
    Output0.050.1874.50.02217
    Table 1. Property changes of beams after passing through lens with a focal length of 175 nm
    Figure No.Assembly errorMaximumnonlinearerror /nm
    Fig. 6-1.273
    Fig. 7(a)dR: -1 mm2.183
    Fig. 7(b)dR: -20 mm, dL: -20 mm1.398
    Fig. 7(c)dR: -21 mm, dL: -20 mm2.397
    Fig. 8ωoR: -1 μm, ωoL: +1 μm1.436
    Fig. 9dR: -21 mm, dL: -20 mmωoR: -1 μm, ωoL: +1 μm2.585
    Fig. 10ωoR: -1 μm, ωoL: +1 μmθR: -200 μrad, θL: +200 μraddR: -21 mm, dL: -20 mm2.918
    Table 2. Nonlinear error analysis results of phase of interference fringe
    Sen Lu, Kaiming Yang, Yu Zhu, Leijie Wang, Ming Zhang. Design and Analysis of Scanning Beam Interference Lithography Optical System Based on Far-Field Interference[J]. Acta Optica Sinica, 2018, 38(6): 0605001
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