Abstract

We report that the interference pattern of Young’s double-slit experiment changes as a function of polarization in the sub-wavelength diffraction regime. Experiments carried out with terahertz time-domain spectroscopy reveal that diffracted waves from sub-wavelength-scale slits exhibit either positive or negative phase shift with respect to Gouy phase depending on the polarization. Theoretical explanation based on the induction of electric current and magnetic dipole in the vicinity of the slits shows an excellent agreement with the experimental results.

© 2013 OSA

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. E. Hecht, Optics, 4th ed. (Addison Wesley, 2002).
  2. J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, 1999).
  3. F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett.90, 213901 (2003).
    [CrossRef] [PubMed]
  4. C. Wang, C. Du, and X. Luo, “Refining the model of light diffraction from a subwavelength slit surrounded by grooves on a metallic film,” Phys. Rev. B74, 245403 (2006).
    [CrossRef]
  5. Y. Takakura, “Optical resonance in a narrow slit in a thick metallic screen,” Phys. Rev. Lett.86, 5601 (2001).
    [CrossRef] [PubMed]
  6. F. Yang and J. R. Sambles, “Resonant transmission of microwaves through a narrow metallic slit,” Phys. Rev. Lett.89, 063901 (2002).
    [CrossRef] [PubMed]
  7. M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photon.3, 152–156 (2009).
    [CrossRef]
  8. J. H. Kang, D. S. Kim, and Q. Park, “Local Capacitor Model for Plasmonic Electric Field Enhancement,” Phys. Rev. Lett.102, 093906 (2009).
    [CrossRef] [PubMed]
  9. E. H. Khoo, E. P. Li, and K. B. Crozier, “Plasmonic wave plate based on subwavelength nanoslits,” Opt. Lett.36, 2498–2500 (2011).
    [CrossRef] [PubMed]
  10. P. F. Chimento, N. V. Kuzmin, J. Bosman, P. F. A. Alkemade, G. W.’t Hooft, and E. R. Eliel, “A subwavelength slit as a quarter-wave retarder,” Opt. Express19, 24219–24227 (2011).
    [CrossRef] [PubMed]
  11. H. A. Bethe, “Theory of diffraction by small holes,” Phys. Rev.66, 163–182 (1944).
    [CrossRef]
  12. M. Yi, K. Lee, J. D. Song, and J. Ahn, “Terahertz phase microscopy in the sub-wavelength regime,” Appl. Phys. Lett.100, 161110 (2012).
    [CrossRef]
  13. K. Lee, M. Yi, S. E. Park, and J. Ahn, “Phase-shift anomaly caused by subwavelength-scale metal slit or aperture diffraction,” Opt. Lett.38, 166–168 (2013).
    [CrossRef] [PubMed]
  14. D. Grischkowsky, S. Keiding, M. van Exter, and Ch. Fattinger, “Far-infrared time-domain spectroscopy with terahertz beams of dielectrics and semiconductors,” J. Opt. Soc. Am. B7, 2006–2015 (1990).
    [CrossRef]
  15. Y.-S. Lee, Principles of Terahertz Science and Technology (Springer, 2009).
  16. P. C. M. Planken, H.-K. Nienhuys, H. J. Bakker, and T. Wenckebach, “Measurement and calculation of the orientation dependence of terahertz pulse detection in ZnTe,” J. Opt. Soc. Am. B18, 313–317 (2001).
    [CrossRef]
  17. Y. Kim, M. Yi, B. G. Kim, and J. Ahn, “Investigation of THz birefringence measurement and calculation in Al2O3 and LiNbO3,” Appl. Opt.50, 2906–2910 (2011).
    [CrossRef] [PubMed]
  18. L. G. Gouy, “Sur une propriete nouvelle des ondes lumineuses,” C. R. Acad. Sci. Paris110, 1251–1253 (1890).
  19. A. Rubinowicz, “On the anomalous propagation of phase in the focus,” Phys. Rev.54, 931–936 (1938).
    [CrossRef]
  20. A. E. Siegman, Lasers (University Science Books, 1986).
  21. 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, 3410–3413 (1999).
    [CrossRef]
  22. S. Feng and H. G. Winful, “Physical origin of the Gouy phase shift,” Opt. Lett.26, 485–487 (2001).
    [CrossRef]
  23. K. Lee, “Fourier optical phenomena and applications using ultra broadband terahertz waves,” Ph. D. Thesis, KAIST (2013).

2013

2012

M. Yi, K. Lee, J. D. Song, and J. Ahn, “Terahertz phase microscopy in the sub-wavelength regime,” Appl. Phys. Lett.100, 161110 (2012).
[CrossRef]

2011

2009

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photon.3, 152–156 (2009).
[CrossRef]

J. H. Kang, D. S. Kim, and Q. Park, “Local Capacitor Model for Plasmonic Electric Field Enhancement,” Phys. Rev. Lett.102, 093906 (2009).
[CrossRef] [PubMed]

2006

C. Wang, C. Du, and X. Luo, “Refining the model of light diffraction from a subwavelength slit surrounded by grooves on a metallic film,” Phys. Rev. B74, 245403 (2006).
[CrossRef]

2003

F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett.90, 213901 (2003).
[CrossRef] [PubMed]

2002

F. Yang and J. R. Sambles, “Resonant transmission of microwaves through a narrow metallic slit,” Phys. Rev. Lett.89, 063901 (2002).
[CrossRef] [PubMed]

2001

1999

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, 3410–3413 (1999).
[CrossRef]

1990

1944

H. A. Bethe, “Theory of diffraction by small holes,” Phys. Rev.66, 163–182 (1944).
[CrossRef]

1938

A. Rubinowicz, “On the anomalous propagation of phase in the focus,” Phys. Rev.54, 931–936 (1938).
[CrossRef]

1890

L. G. Gouy, “Sur une propriete nouvelle des ondes lumineuses,” C. R. Acad. Sci. Paris110, 1251–1253 (1890).

Ahn, J.

Alkemade, P. F. A.

Bakker, H. J.

Bethe, H. A.

H. A. Bethe, “Theory of diffraction by small holes,” Phys. Rev.66, 163–182 (1944).
[CrossRef]

Bosman, J.

Chimento, P. F.

Choi, S. S.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photon.3, 152–156 (2009).
[CrossRef]

Crozier, K. B.

Du, C.

C. Wang, C. Du, and X. Luo, “Refining the model of light diffraction from a subwavelength slit surrounded by grooves on a metallic film,” Phys. Rev. B74, 245403 (2006).
[CrossRef]

Ebbesen, T. W.

F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett.90, 213901 (2003).
[CrossRef] [PubMed]

Eliel, E. R.

Fattinger, Ch.

Feng, S.

S. Feng and H. G. Winful, “Physical origin of the Gouy phase shift,” Opt. Lett.26, 485–487 (2001).
[CrossRef]

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, 3410–3413 (1999).
[CrossRef]

García-Vidal, F. J.

F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett.90, 213901 (2003).
[CrossRef] [PubMed]

Gouy, L. G.

L. G. Gouy, “Sur une propriete nouvelle des ondes lumineuses,” C. R. Acad. Sci. Paris110, 1251–1253 (1890).

Grischkowsky, D.

Hecht, E.

E. Hecht, Optics, 4th ed. (Addison Wesley, 2002).

Hooft, G. W.’t

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, 1999).

Kang, J. H.

J. H. Kang, D. S. Kim, and Q. Park, “Local Capacitor Model for Plasmonic Electric Field Enhancement,” Phys. Rev. Lett.102, 093906 (2009).
[CrossRef] [PubMed]

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photon.3, 152–156 (2009).
[CrossRef]

Keiding, S.

Khoo, E. H.

Kim, B. G.

Kim, D. S.

J. H. Kang, D. S. Kim, and Q. Park, “Local Capacitor Model for Plasmonic Electric Field Enhancement,” Phys. Rev. Lett.102, 093906 (2009).
[CrossRef] [PubMed]

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photon.3, 152–156 (2009).
[CrossRef]

Kim, Y.

Koo, S. M.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photon.3, 152–156 (2009).
[CrossRef]

Kuzmin, N. V.

Lee, K.

K. Lee, M. Yi, S. E. Park, and J. Ahn, “Phase-shift anomaly caused by subwavelength-scale metal slit or aperture diffraction,” Opt. Lett.38, 166–168 (2013).
[CrossRef] [PubMed]

M. Yi, K. Lee, J. D. Song, and J. Ahn, “Terahertz phase microscopy in the sub-wavelength regime,” Appl. Phys. Lett.100, 161110 (2012).
[CrossRef]

K. Lee, “Fourier optical phenomena and applications using ultra broadband terahertz waves,” Ph. D. Thesis, KAIST (2013).

Lee, Y.-S.

Y.-S. Lee, Principles of Terahertz Science and Technology (Springer, 2009).

Lezec, H. J.

F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett.90, 213901 (2003).
[CrossRef] [PubMed]

Li, E. P.

Luo, X.

C. Wang, C. Du, and X. Luo, “Refining the model of light diffraction from a subwavelength slit surrounded by grooves on a metallic film,” Phys. Rev. B74, 245403 (2006).
[CrossRef]

Martín-Moreno, L.

F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett.90, 213901 (2003).
[CrossRef] [PubMed]

Nienhuys, H.-K.

Park, D. J.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photon.3, 152–156 (2009).
[CrossRef]

Park, G. S.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photon.3, 152–156 (2009).
[CrossRef]

Park, H. R.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photon.3, 152–156 (2009).
[CrossRef]

Park, N. K.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photon.3, 152–156 (2009).
[CrossRef]

Park, Q.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photon.3, 152–156 (2009).
[CrossRef]

J. H. Kang, D. S. Kim, and Q. Park, “Local Capacitor Model for Plasmonic Electric Field Enhancement,” Phys. Rev. Lett.102, 093906 (2009).
[CrossRef] [PubMed]

Park, S. E.

Planken, P. C. M.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photon.3, 152–156 (2009).
[CrossRef]

P. C. M. Planken, H.-K. Nienhuys, H. J. Bakker, and T. Wenckebach, “Measurement and calculation of the orientation dependence of terahertz pulse detection in ZnTe,” J. Opt. Soc. Am. B18, 313–317 (2001).
[CrossRef]

Rubinowicz, A.

A. Rubinowicz, “On the anomalous propagation of phase in the focus,” Phys. Rev.54, 931–936 (1938).
[CrossRef]

Rudd, J. V.

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, 3410–3413 (1999).
[CrossRef]

Ruffin, A. B.

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, 3410–3413 (1999).
[CrossRef]

Sambles, J. R.

F. Yang and J. R. Sambles, “Resonant transmission of microwaves through a narrow metallic slit,” Phys. Rev. Lett.89, 063901 (2002).
[CrossRef] [PubMed]

Seo, M. A.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photon.3, 152–156 (2009).
[CrossRef]

Siegman, A. E.

A. E. Siegman, Lasers (University Science Books, 1986).

Song, J. D.

M. Yi, K. Lee, J. D. Song, and J. Ahn, “Terahertz phase microscopy in the sub-wavelength regime,” Appl. Phys. Lett.100, 161110 (2012).
[CrossRef]

Suwal, O. K.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photon.3, 152–156 (2009).
[CrossRef]

Takakura, Y.

Y. Takakura, “Optical resonance in a narrow slit in a thick metallic screen,” Phys. Rev. Lett.86, 5601 (2001).
[CrossRef] [PubMed]

van Exter, M.

Wang, C.

C. Wang, C. Du, and X. Luo, “Refining the model of light diffraction from a subwavelength slit surrounded by grooves on a metallic film,” Phys. Rev. B74, 245403 (2006).
[CrossRef]

Wenckebach, T.

Whitaker, J. F.

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, 3410–3413 (1999).
[CrossRef]

Winful, H. G.

S. Feng and H. G. Winful, “Physical origin of the Gouy phase shift,” Opt. Lett.26, 485–487 (2001).
[CrossRef]

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, 3410–3413 (1999).
[CrossRef]

Yang, F.

F. Yang and J. R. Sambles, “Resonant transmission of microwaves through a narrow metallic slit,” Phys. Rev. Lett.89, 063901 (2002).
[CrossRef] [PubMed]

Yi, M.

Appl. Opt.

Appl. Phys. Lett.

M. Yi, K. Lee, J. D. Song, and J. Ahn, “Terahertz phase microscopy in the sub-wavelength regime,” Appl. Phys. Lett.100, 161110 (2012).
[CrossRef]

C. R. Acad. Sci. Paris

L. G. Gouy, “Sur une propriete nouvelle des ondes lumineuses,” C. R. Acad. Sci. Paris110, 1251–1253 (1890).

J. Opt. Soc. Am. B

Nat. Photon.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photon.3, 152–156 (2009).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev.

A. Rubinowicz, “On the anomalous propagation of phase in the focus,” Phys. Rev.54, 931–936 (1938).
[CrossRef]

H. A. Bethe, “Theory of diffraction by small holes,” Phys. Rev.66, 163–182 (1944).
[CrossRef]

Phys. Rev. B

C. Wang, C. Du, and X. Luo, “Refining the model of light diffraction from a subwavelength slit surrounded by grooves on a metallic film,” Phys. Rev. B74, 245403 (2006).
[CrossRef]

Phys. Rev. Lett.

Y. Takakura, “Optical resonance in a narrow slit in a thick metallic screen,” Phys. Rev. Lett.86, 5601 (2001).
[CrossRef] [PubMed]

F. Yang and J. R. Sambles, “Resonant transmission of microwaves through a narrow metallic slit,” Phys. Rev. Lett.89, 063901 (2002).
[CrossRef] [PubMed]

F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple paths to enhance optical transmission through a single subwavelength slit,” Phys. Rev. Lett.90, 213901 (2003).
[CrossRef] [PubMed]

J. H. Kang, D. S. Kim, and Q. Park, “Local Capacitor Model for Plasmonic Electric Field Enhancement,” Phys. Rev. Lett.102, 093906 (2009).
[CrossRef] [PubMed]

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, 3410–3413 (1999).
[CrossRef]

Other

K. Lee, “Fourier optical phenomena and applications using ultra broadband terahertz waves,” Ph. D. Thesis, KAIST (2013).

A. E. Siegman, Lasers (University Science Books, 1986).

Y.-S. Lee, Principles of Terahertz Science and Technology (Springer, 2009).

E. Hecht, Optics, 4th ed. (Addison Wesley, 2002).

J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, 1999).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics