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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 15 — Jul. 21, 2008
  • pp: 11007–11020

Nondestructive high-resolution soft-boundary profiling based on forward shadow diffraction

Songky Moon, Juhee Yang, Sang-Bum Lee, Jeong-Bo Shim, Sang-Wook Kim, Jai-Hyung Lee, and Kyungwon An  »View Author Affiliations

Optics Express, Vol. 16, Issue 15, pp. 11007-11020 (2008)

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Nondestructive noncontact high-resolution optical technique for profiling soft or fluidic boundary of an opaque object is presented. Our technique utilizes the fact that the angle width, the angular separation between two adjacent intensity minima in the forward shadow diffraction, is inversely proportional to the projected width of the object in the same direction. An analytic formula for reconstructing the boundary shape is obtained for an object with two-fold symmetry in terms of the angle widths measured for various rotational angles of the object. The typical error in determining the object shape parameter is less than 0.2%, which corresponds to 20 nm of radial accuracy when applied to an object with a mean radius of 10 microns.

© 2008 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure
(300.1030) Spectroscopy : Absorption
(290.2558) Scattering : Forward scattering
(080.6755) Geometric optics : Systems with special symmetry

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: April 21, 2008
Revised Manuscript: June 26, 2008
Manuscript Accepted: July 6, 2008
Published: July 9, 2008

Songky Moon, Juhee Yang, Sang-Bum Lee, Jeong-Bo Shim, Sang-Wook Kim, Jai-Hyung Lee, and Kyungwon An, "Nondestructive high-resolution soft-boundary profiling based on forward shadow diffraction," Opt. Express 16, 11007-11020 (2008)

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  1. C. G. Rylander, D. P. Davé, T. Akkin, E. Milner, K. R. Diller, and A. J. Welch, "Quantitative phase-contrast imaging of cells with phase-sensitive optical coherence microscopy," Opt. Lett. 29, 1509-1511 (2004). [CrossRef] [PubMed]
  2. C. Joo, T. Akkin, B. Cense, B. H. Park, and J. F. de Boer, "Spectral-domain optical coherence phase microscopy for quantitative phase-contrast imaging," Opt. Lett. 30, 2131-2133 (2005). [CrossRef] [PubMed]
  3. W. Choi, C. Fang-Yen, K. Badizadegan, S. Oh, N. Lue, R. R. Dasari, and M. S. Feld, "Tomographic phase microscopy," Nature Methods 4, 717-719 (2007). [CrossRef] [PubMed]
  4. T. Noda and S. Kawata, "Separation of phase and absorption images in phase-contrast microscopy," J. Opt. Soc. Am. A 9, 924-931 (1992). [CrossRef]
  5. H.-G. Döbereiner, E. Evans, M. Kraus, U. Seifert, and M. Wortis, "Mapping vesicle shapes into the phase diagram: A comparison of experiment and theory," Phys. Rev. E 55, 4458-4474 (1997). [CrossRef]
  6. G. N. Constantinides, D. Gintides, S. E. Kattis, K. Kiriaki, C. A. Paraskeva, A. C. Payatakes, D. Polyzos, S. V. Tsinopoulos, and S. N. Yannopoulos, "Computation of Light Scattering by Axisymmetric Nonspherical Particles and Comparison with Experimental Results," Appl. Opt. 37, 7310-7319 (1998). [CrossRef]
  7. Z. Chen, "Study of a dynamic-shape-curve function for a fused tapering optical fiber," Appl. Opt. 45, 6914-6918 (2006). [CrossRef] [PubMed]
  8. S. V. Boriskina, P. Sewell, and T. M. Benson, "Accurate simulation of two-dimensional optical microcavities with uniquely solvable boundary integral equations and trigonometric Galerkin discretization," J. Opt. Soc. Am. A 21, 393-402 (2004). [CrossRef]
  9. S. G. L. Harald, N. B. Rex, H. E. Tureci, R. K. Chang, A. D. Stone, T. Ben-Messaoud, and J. Zyss, "Dramatic shape sensitivity of directional emission patterns from similarly deformed cylindrical polymer lasers," J. Opt. Soc. Am. B 21, 923-934 (2004). [CrossRef]
  10. T. Tanaka, M. Hentschel, T. Fukushima, and T. Harayama, "Classical Phase Space Revealed by Coherent Light," Phys. Rev. Lett. 98, 033902 (2007). [CrossRef] [PubMed]
  11. F. Zenhausern, Y. Martin, and H. K. Wickramasinghe, "Scanning Interferometric Apertureless Microscopy: Optical Imaging at 10 Angstrom Resolution," Science 269, 1083-1085 (1995). [CrossRef] [PubMed]
  12. I. Yamaguchi, J. Kato, S. Ohta, and J. Mizuno, "Image Formation in Phase-Shifting Digital Holography and Applications to Microscopy," Appl. Opt. 40, 6177-6186 (2001). [CrossRef]
  13. N. Lue, W. Choi, G. Popescu, T. Ikeda, R. R. Dasari, K. Badizadegan, and M. S. Feld, "Quantitative phase imaging of live cells using fast Fourier phase microscopy," Appl. Opt. 46,1836-1842 (2007). [CrossRef] [PubMed]
  14. B. Bhushan, J. C. Wyant, and C. L. Koliopoulos, "Measurement of surface topography of magnetic tapes by Mirau interferometry," Appl. Opt. 24, 1489-1497 (1985). [CrossRef] [PubMed]
  15. M. R. Atkinson, A. E. Dixon, and S. Damaskinos, "Surface-profile reconstruction using reflection differential phase-contrast microscopy," Appl. Opt. 31, 6765-6771 (1992). [CrossRef] [PubMed]
  16. H. Liang, M. G. Cid, R. G. Cucu, G. M. Dobre, A. G. Podoleanu, J. Pedro, and D. Saunders, "En-face optical coherence tomography ? a novel application of non-invasive imaging to art conservation," Opt. Express 13, 6133-6144 (2005). [CrossRef] [PubMed]
  17. M. Yokota, A. Asaka, and T. Yosino, "Stabilization Improvements of Laser-Diode Closed-Loop Heterodyne Phase-Shifting Interferometer for Surface Profile Measurement," Appl. Opt. 42, 1805-1808 (2003). [CrossRef] [PubMed]
  18. S. Sonozaki, K. Iwata, and Y. Iwahashi, "Measurement of Profiles along a Circle on Two Flat Surfaces by Use of a Fizeau Interferometer with No Standard," Appl. Opt. 42, 6853-6858 (2003). [CrossRef] [PubMed]
  19. P. Z. Takacs, E. L. Church, C. J. Bresloff, and L. Assoufid, "Improvements in the Accuracy and the Repeatability of Long Trace Profiler Measurements," Appl. Opt. 38, 5468-5479 (1999). [CrossRef]
  20. J. U. Nöckel and A. D. Stone, "Ray and wave chaos in asymmetric resonant optical cavities," Nature 385, 45-47 (1997). [CrossRef]
  21. C. Gmachl, F. Capasso, E. E. Narimanov, J. U. Nöckel, A. D. Stone, G. J. Faist, D. L. Sivco, and A. Y. Cho, "High-Power Directional Emission from Microlasers with Chaotic Resonators," Science 280, 1556-1564 (1998). [CrossRef] [PubMed]
  22. S. B. Lee, J.-H. Lee, J.-S. Chang, H.-J. Moon, S. W. Kim, and K. An, "Observation of Scarred Modes in Asymmetrically Deformed Microcylinder Lasers," Phys. Rev. Lett. 88, 033903 (2002). [CrossRef] [PubMed]
  23. S.-B. Lee, J.-B. Shim, J. Yang, S. Moon, S.-W. Kim, H.-W. Lee, J.-H. Lee, and K. An, "Universal output directionality of single modes in a deformed microcavity," Phys. Rev. A 75, 011802 (2007). [CrossRef]
  24. J.-B. Shim, S.-B. Lee, S. W. Kim, S.-Y. Lee, H. Yang, S. Moon, J.-H. Lee, and K. An, "Uncertainty-limited turnstile transport in deformed microcavities," Phys. Rev. Lett. 100, 174102 (2008). [CrossRef] [PubMed]
  25. J. Yang, S. Moon, S.-B. Lee, S. W. Kim, J.-B. Shim, H.-W. Lee, J.-H. Lee, and K. An, "Development of a deformation-tunable quadrupolar microcavity," Rev. Sci. Instrum. 77, 083103 (2006). [CrossRef]
  26. J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, New York, 1998).
  27. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).

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