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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 2 — Jan. 28, 2013
  • pp: 2337–2346

Complete presentation of the Gouy phase shift with the THz digital holography

Xinke Wang, Wenfeng Sun, Ye Cui, Jiasheng Ye, Shengfei Feng, and Yan Zhang  »View Author Affiliations

Optics Express, Vol. 21, Issue 2, pp. 2337-2346 (2013)

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Three dimensional information of the Gouy phase shift in a converging spherical terahertz (THz) beam is directly observed by using a THz balanced electro-optic holographic imaging system. The major properties of the Gouy phase shift are presented, including the longitudinal and transverse distributions, relationships with the frequency and the f-number, influence on the THz polarization. The imaging technique supplies an accurate and comprehensive measurement method for observing and understanding the Gouy phase shift.

© 2013 OSA

OCIS Codes
(050.5080) Diffraction and gratings : Phase shift
(090.1995) Holography : Digital holography
(170.6795) Medical optics and biotechnology : Terahertz imaging

ToC Category:

Original Manuscript: November 22, 2012
Revised Manuscript: January 13, 2013
Manuscript Accepted: January 14, 2013
Published: January 23, 2013

Xinke Wang, Wenfeng Sun, Ye Cui, Jiasheng Ye, Shengfei Feng, and Yan Zhang, "Complete presentation of the Gouy phase shift with the THz digital holography," Opt. Express 21, 2337-2346 (2013)

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  1. A. E. Siegman, Lasers (Mill Valley, Califorina, 1986), Chap. 17.
  2. J. L. Johnson, T. D. Dorney, and D. M. Mittleman, “Enhanced depth resolution in terahertz imaging using phase-shift interferometry,” Appl. Phys. Lett.78(6), 835–837 (2001). [CrossRef]
  3. K. I. Popov, A. F. Pegoraro, A. Stolow, and L. Ramunno, “Image formation in CARS microscopy: effect of the Gouy phase shift,” Opt. Express19(7), 5902–5911 (2011). [CrossRef] [PubMed]
  4. N. Shivaram, A. Roberts, L. Xu, and A. Sandhu, “In situ spatial mapping of Gouy phase slip for high-detail attosecond pump-probe measurements,” Opt. Lett.35(20), 3312–3314 (2010). [CrossRef] [PubMed]
  5. R. W. Boyd, “Intuitive explanation of the phase anomaly of focused light beams,” J. Opt. Soc. Am.70(7), 877–880 (1980). [CrossRef]
  6. P. Hariharan and P. A. Robinson, “The Gouy phase shift as a geometrical quantum effect,” J. Mod. Opt.43(2), 219–221 (1996).
  7. S. M. Feng and H. G. Winful, “Physical origin of the Gouy phase shift,” Opt. Lett.26(8), 485–487 (2001). [CrossRef] [PubMed]
  8. R. Simon and N. Mukunda, “Bargmann invariant and the geometry of the Gouy effect,” Phys. Rev. Lett.70(7), 880–883 (1993). [CrossRef] [PubMed]
  9. T. D. Visser and E. Wolf, “The origin of the Gouy phase anomaly and its generalization to astigmatic wavefields,” Opt. Commun.283(18), 3371–3375 (2010). [CrossRef]
  10. J. H. Chow, G. de Vine, M. B. Gray, and D. E. McClelland, “Measurement of Gouy phase evolution by use of spatial mode interference,” Opt. Lett.29(20), 2339–2341 (2004). [CrossRef] [PubMed]
  11. F. Lindner, G. G. Paulus, H. Walther, A. Baltuska, E. Goulielmakis, M. Lezius, and F. Krausz, “Gouy phase shift for few-cycle laser pulses,” Phys. Rev. Lett.92(11), 113001 (2004). [CrossRef] [PubMed]
  12. J. Hamazaki, Y. Mineta, K. Oka, and R. Morita, “Direct observation of Gouy phase shift in a propagating optical vortex,” Opt. Express14(18), 8382–8392 (2006). [CrossRef] [PubMed]
  13. P. Bon, B. Rolly, N. Bonod, J. Wenger, B. Stout, S. Monneret, and H. Rigneault, “Imaging the Gouy phase shift in photonic jets with a wavefront sensor,” Opt. Lett.37(17), 3531–3533 (2012). [CrossRef] [PubMed]
  14. A. B. Ruffin, J. V. Rudd, J. F. Whitaker, S. Feng, and H. G. Winful, “Direct observation of the Gouy phase shift with single-cycle terahertz pulses,” Phys. Rev. Lett.83(17), 3410–3413 (1999). [CrossRef]
  15. R. W. McGowan, R. A. Cheville, and D. Grischkowsky, “Direct observation of the Gouy phase shift in THz impulse ranging,” Appl. Phys. Lett.76(6), 670–672 (2000). [CrossRef]
  16. W. Zhu, A. Agrawal, and A. Nahata, “Direct measurement of the Gouy phase shift for surface plasmon-polaritons,” Opt. Express15(16), 9995–10001 (2007). [CrossRef] [PubMed]
  17. Q. Wu, T. D. Hewitt, and X. C. Zhang, “Two-dimensional electro-optic imaging of THz beams,” Appl. Phys. Lett.69(8), 1026–1028 (1996). [CrossRef]
  18. X. K. Wang, Y. Cui, D. Hu, W. F. Sun, J. S. Ye, and Y. Zhang, “Terahertz quasi-near-field real-time imaging,” Opt. Commun.282(24), 4683–4687 (2009). [CrossRef]
  19. X. K. Wang, Y. Cui, W. F. Sun, J. S. Ye, and Y. Zhang, “Terahertz real-time imaging with balanced electro-optic detection,” Opt. Commun.283(23), 4626–4632 (2010). [CrossRef]
  20. X. K. Wang, Y. Cui, W. F. Sun, J. S. Ye, and Y. Zhang, “Terahertz polarization real-time imaging based on balanced electro-optic detection,” J. Opt. Soc. Am. A27(11), 2387–2393 (2010). [CrossRef] [PubMed]
  21. X. K. Wang, W. Xiong, W. F. Sun, and Y. Zhang, “Coaxial waveguide mode reconstruction and analysis with THz digital holography,” Opt. Express20(7), 7706–7715 (2012). [CrossRef] [PubMed]
  22. Z. P. Jiang, X. G. Xu, and X.-C. Zhang, “Improvement of terahertz imaging with a dynamic subtraction technique,” Appl. Opt.39(17), 2982–2987 (2000). [CrossRef] [PubMed]
  23. X. K. Wang, Y. Cui, W. F. Sun, Y. Zhang, and C. L. Zhang, “Terahertz pulse reflective focal-plane tomography,” Opt. Express15(22), 14369–14375 (2007). [CrossRef] [PubMed]
  24. M. Yi, K. Lee, J. D. Song, and J. Ahn, “Terahertz phase microscopy in the sub-wavelength regime,” Appl. Phys. Lett.100(16), 161110 (2012). [CrossRef]
  25. X. Y. Pang, T. D. Visser, and W. Wolf, “Phase anomaly and phase singularities of the field in the focal region of high-numerical aperture systems,” Opt. Commun.284(24), 5517–5522 (2011). [CrossRef]
  26. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996), Chap. 4.
  27. J. Lin, X.-C. Yuan, S. S. Kou, C. J. R. Sheppard, O. G. Rodríguez-Herrera, and J. C. Dainty, “Direct calculation of a three-dimensional diffracted field,” Opt. Lett.36(8), 1341–1343 (2011). [CrossRef] [PubMed]
  28. G. Lamouche, M. L. Dufour, B. Gauthier, and J. P. Monchalin, “Gouy phase anomaly in optical coherence tomography,” Opt. Commun.239(4-6), 297–301 (2004). [CrossRef]
  29. N. C. van der Valk, W. A. van der Marel, and P. C. M. Planken, “Terahertz polarization imaging,” Opt. Lett.30(20), 2802–2804 (2005). [CrossRef] [PubMed]
  30. Q. W. Zhan, “Second-order tilted wave interpretation of the Gouy phase shift under high numerical aperture uniform illumination,” Opt. Commun.242(4-6), 351–360 (2004). [CrossRef]

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