Chinese Journal of Lasers, Volume. 52, Issue 11, 1104004(2025)
Multi‐Surface Interferometric Measurement and Experimental Verification Using Discontinuous Wavelength Scanning
Fig. 3. Geometric illustrations of optical path differences. (a) Λ56; (b) Λ57; (c) Λ67
Fig. 4. Simulated wavenumber sequence and interference patterns. (a) Discontinuous scanning wavenumber sequence; (b) interference pattern; (c) longitudinal section of interference pattern taken at xp=500 pixel
Fig. 5. Spectral cross-section evaluation of interference pattern at yp=500 pixel and interference point signal at (500 pixel, 600 pixel). (a) Interference signal demodulated using Fourier transform with wavenumber bandwidth Δk1; (b) interference signal demodulated using Fourier transform with wavenumber bandwidth Δk1+Δk2; (c) interference signal demodulated using least squares spectrum with wavenumber bandwidth Δk1+Δk2
Fig. 6. Interference phase wrapping and unwrapping diagrams when OPDs are Λ56 and Λ57. (a)(e)(i)(m) Ideal phase diagrams; (b)(f)(j)(n) interference phases derived from interference signal with wavenumber bandwidth Δk1 using Fourier transform demodulation; (c)(g)(k)(o) interference phases derived from interference signal with wavenumber bandwidth Δk1+Δk2 using Fourier transform demodulation; (d)(h)(l)(p) interference phases derived from interference signal with wavenumber bandwidth Δk1+Δk2 using least squares spectrum demodulation
Fig. 7. Multi-surface scanning interferometry hardware system. (a) Optical path diagram; (b) experimental setup diagram
Fig. 8. Experimental interference patterns. (a) Interference pattern; (b) longitudinal section of interference pattern taken at x=1.91 mm
Fig. 9. Spectral cross-section evaluation diagram of interference pattern at y=1.91 mm and interference point signal at (1.50 mm, 1.91 mm). (a) Experimental interference patterns with frame numbers of 1‒90 demodulated by Fourier transform; (b) experimental interference patterns with frame numbers of 1‒400 demodulated by Fourier transform; (c) experimental interference patterns with frame numbers of 1‒400 demodulated by least squares spectrum
Fig. 10. Interference phase wrapping and unwrapping diagrams of front and rear surfaces of optical wedge. (a)(e)(g)(j) Interference patterns with frame numbers of 1‒90 demodulated by Fourier transform; (b)(f)(k)(n) interference patterns with frame numbers of 1‒400 demodulated by Fourier transform; (c)(f)(i)(l) interference patterns with frame numbers of 1‒400 demodulated by least squares spectrum
Fig. 11. Interference phase wrapping and unwrapping diagrams of front and rear surfaces of plano-convex lens. (a)(e)(g)(j) Interference patterns with frame numbers of 1‒90 demodulated by Fourier transform; (b)(f)(k)(n) interference patterns with frame numbers of 1‒400 demodulated by Fourier transform; (c)(f)(i)(l) interference patterns with frame numbers of 1‒400 demodulated by least squares spectrum
Fig. 12. Multi-surface measurement results. (a) Three-dimensional fitting of front and rear surfaces of optical wedge; (b) error distribution map of planar surface of plano-convex lens; (c) three-dimensional fitting of convex surface of plano-convex lens
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Hao Qiu, Bo Dong, Shengli Xie, Yulei Bai. Multi‐Surface Interferometric Measurement and Experimental Verification Using Discontinuous Wavelength Scanning[J]. Chinese Journal of Lasers, 2025, 52(11): 1104004
Category: Measurement and metrology
Received: Jan. 9, 2025
Accepted: Feb. 24, 2025
Published Online: Jun. 14, 2025
The Author Email: Yulei Bai (yuleibai@outlook.com)
CSTR:32183.14.CJL250446