• Chinese Journal of Lasers
  • Vol. 47, Issue 12, 1204003 (2020)
Gong Shuang1、2, Yang Baoxi1、2、*, and Huang Huijie1、2
Author Affiliations
  • 1Laboratory of Information Optics and Opto-Electronics Technology, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
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    DOI: 10.3788/CJL202047.1204003 Cite this Article Set citation alerts
    Gong Shuang, Yang Baoxi, Huang Huijie. Effects of Mid-Spatial Frequency Surface Errors on the Illumination Field Uniformity of Off-Axis Illumination[J]. Chinese Journal of Lasers, 2020, 47(12): 1204003 Copy Citation Text show less
    Diagrams of illumination modes. (a) Circular; (b) annular; (c) dipole; (d) quadrupole
    Fig. 1. Diagrams of illumination modes. (a) Circular; (b) annular; (c) dipole; (d) quadrupole
    Far field intensity distribution of DOE
    Fig. 2. Far field intensity distribution of DOE
    Wavefront in the exit pupil and its PSF. (a) Wavefront in the exit pupil under circular mode; (b) wavefront in the exit pupil under dipole mode; (c)PSF with MSF errors under circular mode; (d) PSF with MSF errors under dipole mode
    Fig. 3. Wavefront in the exit pupil and its PSF. (a) Wavefront in the exit pupil under circular mode; (b) wavefront in the exit pupil under dipole mode; (c)PSF with MSF errors under circular mode; (d) PSF with MSF errors under dipole mode
    Distribution of LSF under dipole mode
    Fig. 4. Distribution of LSF under dipole mode
    Encircled energy for the LSF. (a) σ=0.2; (b) σ=0.8
    Fig. 5. Encircled energy for the LSF. (a) σ=0.2; (b) σ=0.8
    Illustration of the effects of MSF surface errors on illumination field
    Fig. 6. Illustration of the effects of MSF surface errors on illumination field
    Uniformity of illumination field versus PV value under different coherence factors
    Fig. 7. Uniformity of illumination field versus PV value under different coherence factors
    Penumbra width versus PV value under different coherence factors
    Fig. 8. Penumbra width versus PV value under different coherence factors
    Structure of relay lens group in photolithography illumination
    Fig. 9. Structure of relay lens group in photolithography illumination
    Uniformity of illumination field created by simulation. (a) Ideal illumination field; (b) illumination field under the effects of MSF surface errors
    Fig. 10. Uniformity of illumination field created by simulation. (a) Ideal illumination field; (b) illumination field under the effects of MSF surface errors
    Uniformity of illumination field versus PV value under different coherence factors
    Fig. 11. Uniformity of illumination field versus PV value under different coherence factors
    Diagram of the effects of MSF surface errors on penumbra width
    Fig. 12. Diagram of the effects of MSF surface errors on penumbra width
    Penumbra width versus PV value under different coherence factors
    Fig. 13. Penumbra width versus PV value under different coherence factors
    Structure of surface errors. (a) Actually manufactured surface errors; (b) low-spatial frequency surface errors; (c) mid-spatial frequency surface errors
    Fig. 14. Structure of surface errors. (a) Actually manufactured surface errors; (b) low-spatial frequency surface errors; (c) mid-spatial frequency surface errors
    PV valueλ/30λ/20λ/15λ/10
    Uniformity atσ=0.499.977599.977399.973799.9609
    Uniformity atσ=0.699.975099.966799.945999.9015
    Uniformity atσ=0.899.973099.958299.914799.8227
    Table 1. Uniformity of illumination field under different PV values and coherence factors unit: %
    PV valueλ/30λ/20λ/15λ/10
    Penumbra width atσ=0.40.01100.01100.02200.0980
    Penumbra width atσ=0.60.04400.05500.07700.1870
    Penumbra width atσ=0.80.11000.14300.16500.3301
    Table 2. Penumbra width under different PV and coherence factorsunit: mm
    Coherence factor σ0.40.60.8
    Illumination fielduniformity /%99.817999.786399.6414
    Penumbra width /mm0.110.150.28
    Table 3. Uniformity of illumination field and penumbra width under different PV values and coherence factors
    Gong Shuang, Yang Baoxi, Huang Huijie. Effects of Mid-Spatial Frequency Surface Errors on the Illumination Field Uniformity of Off-Axis Illumination[J]. Chinese Journal of Lasers, 2020, 47(12): 1204003
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