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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 18 — Jun. 20, 2011
  • pp: 2823–2830

Measurement of the surface profile of a curved optical surface with rotation phase-shifting lateral shear cyclic path optical configuration

Sanjib Chatterjee and Y. Pavan Kumar  »View Author Affiliations


Applied Optics, Vol. 50, Issue 18, pp. 2823-2830 (2011)
http://dx.doi.org/10.1364/AO.50.002823


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Abstract

We present a new (to our knowledge) technique for introducing phase shifts between the laterally sheared emergent beam components of a cyclic path optical configuration (CPOC). The phase shifts are introduced by applying a small change in the angle of incidence of the incident beam due to the small angular rotation of the CPOC setup. Phase-shifting interferometry has been applied along with this phase-shifting technique for a CPOC with lateral shear to find the surface slope/profile of curved optical surfaces. Results for a spherical optical surface have been discussed. An optical setup for measurement of the surface profile of toroidal beam line mirrors of synchrotron radiation sources is proposed.

© 2011 Optical Society of America

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: January 28, 2011
Revised Manuscript: April 5, 2011
Manuscript Accepted: April 9, 2011
Published: June 10, 2011

Citation
Sanjib Chatterjee and Y. Pavan Kumar, "Measurement of the surface profile of a curved optical surface with rotation phase-shifting lateral shear cyclic path optical configuration," Appl. Opt. 50, 2823-2830 (2011)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-50-18-2823


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References

  1. M. Strojnik, G. Paez, and M. Mantravadi, “Lateral shear interferometers,” in Optical Shop Testing, 3rd ed., D.Malacara, ed. (Wiley, 2007), pp. 140–142.
  2. S. Chatterjee and Y. P. Kumar, “Long trace profiler with cyclic optical configuration,” Appl. Opt. 41, 5857–5859 (2002) [CrossRef] [PubMed]
  3. S. Chatterjee and Y. P. Kumar, “Measurement of residual wedge angle of a high optical quality transparent parallel plate with a multi-pass optical configuration,” Opt. Eng. 49, 053605 (2010). [CrossRef]
  4. S. Chatterjee and Y. P. Kumar, “Simple technique for the generation of white light Young’s fringes with a cyclic optical configuration,” Appl. Opt. 47, 2956–2960 (2008). [CrossRef] [PubMed]
  5. S. Chatterjee and Y. P. Kumar, “Simple technique for the generation of white-light Haidinger fringes with cyclic optical configuration,” Opt. Lett. 34, 1291–1293 (2009) [CrossRef] [PubMed]
  6. S. Chatterjee and Y. P. Kumar, “External measurement of dihedral right angles with cyclic optical configuration,” Appl. Opt. 48, 1598–1605 (2009). [CrossRef] [PubMed]
  7. S. Chatterjee and Y. P. Kumar, “Measurement of centering error of a lens with cyclic optical configuration,” Opt. Eng. 49, 043601 (2010). [CrossRef]
  8. Y. P. Kumar and S. Chatterjee, “Simultaneous measurement of refractive index and wedge angle of optical windows using Fizeau interferometry and a cyclic path optical configuration,” Appl. Opt. 48, 4756–4761 (2009). [CrossRef] [PubMed]
  9. Y. P. Kumar and S. Chatterjee, “Application of Newton’s method to determine the focal length of lenses using a lateral shearing interferometer and cyclic path optical configuration set up,” Opt. Eng. 49, 053604 (2010). [CrossRef]
  10. C. C. Cheng and M. G. Raymer, “A variable lateral-shearing Sagnac interferometer with high numerical aperture for measuring the complex spatial coherence function of light,” J. Mod. Opt. 47, 1237–1246 (2000). [CrossRef]
  11. J. S. Darlin, M. P. Kothiyal, and R. S. Sirohi, “Self-referencing cyclic shearing interferometer for collimation testing,” J. Mod. Opt. 44, 929–939 (1997). [CrossRef]
  12. P. Harharan and M. Roy, “A geometric-phase interferometer,” J. Mod. Opt. 391811–1815 (1992). [CrossRef]
  13. S. Chatterjee and Y. P. Kumar, Opt. Eng. 48, 115601(2009). [CrossRef]
  14. J A. Ferrari and E. Garbasi, “Phase shifting (Sagnac) interferometer with external phase control,” Appl. Opt. 44, 4510–4512 (2005). [CrossRef] [PubMed]
  15. Y. H. Lo, A. R. D. Somervell, and T. H. Barnes, “Wavefront measurement with a phase shifting, lateral shearing Sagnac interferometer operating in broadband light,” Opt. Laser Eng. 43, 33–41 (2005). [CrossRef]
  16. N. I. T. Arellano, A. M. Garcia, G. R. Zurita, J. A. R. Alvarez, and A. M. Perez, “Slope measurement of a phase object using a polarizing phase shifting high frequency Ronchi grating interferometer,” Appl. Opt. 49, 6402–6408 (2010). [CrossRef]
  17. M. P. Kothiyal and C. Delisle, “Shearing interferometer for phase shifting interferometry with polarization phase shifter,” Appl. Opt. 24, 4439–444 (1985). [CrossRef] [PubMed]
  18. D. Malacara, “Radial, rotational and reversal shear interferometers,” Optical Shop Testing, 3rd ed., D.Malacara, ed. 3rd ed. (Wiley, 2007), pp. 189–197.
  19. K. Yoshihara, “On the triangular path interferometer,” Jpn. J. Appl. Phys. 7, 529–535 (1968). [CrossRef]
  20. M. Strojnik, G. Paez, and M. Mantravadi, “Lateral shear interferometers,” in Optical Shop Testing, D.Malacara, ed. (Wiley2007), pp. 122–184. [CrossRef]
  21. P. Hariharan, “Phase shifting interferometery: minimization of systematic errors,” Opt. Eng. 39, 967–969 (2000). [CrossRef]
  22. P. Hariharan, B. F. Oreb, and T. Eiju, “Digital phase shifting interferometery: a simple error compensating phase calculation algorithm,” Appl. Opt. 26, 2504–2506 (1987). [CrossRef] [PubMed]
  23. K. Creath, “Phase measurement interferometry techniques,” in Progress in Optics, Vol.  xxviii. E.Wolf, ed. (North-Holland, 1988), pp. 349–393. [CrossRef]
  24. D. Malacara, S. Malacara, and Z. Malacara, “Some methods to introduce phase shifting,” in Interferogram Analysis for Optical Testing (Marcel Dekker, 1998), pp. 248–255.
  25. S. Chatterjee and Y. P. Kumar, “Measurement of surface profile of a long-radius optical surface with wedge phase shifting lateral shear interferometer,” Opt. Eng. 49, 103602(2010). [CrossRef]

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