Abstract

A π phase shift between the incident wave and surface Plasmon polariton (SPP) waves launched from a one-dimensional (slit or groove) subwavelength structure has been found in numerical simulations and invoked to explain recent measurements of optical transmission in slit arrays. Although groove launchers exhibit an overall phase shift that depends on the groove depth, it is shown here how magnetic field induction at the incident surface, and oscillating dipoles from the accumulated charge at the slit or groove edges on the entrance facet lead to an intrinsic π phase shift, independent of the groove or slit depth. Destructive interference between the π-shifted surface wave and the incident wave explains the observed transmission minima when the pitch of an array of slits becomes equal to an integer multiple of the SPP wavelength.

© 2008 Optical Society of America

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  1. A. R. Zakharian, J. V. Moloney, and M. Mansuripur, "Surface plasmon polaritons on metallic surfaces," Opt. Express 15, 183-197 (2007) and references cited therein.
  2. G. Gay, O. Alloschery, J. Weiner, H. J. Lezec, C. O’Dwyer, M. Sukharev, and T. Seideman, "Surface quality and surface waves on subwavelength-structured silver films," Phys. Rev. E 75, 016612-1-4 (2007) and references cited therein.
  3. J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry," Transmission resonances on metallic gratings with very narrow slits" Phys. Rev. Lett. 83, 2845-2848 (1999).
    [CrossRef]
  4. Q. Cao and Ph. Lalanne, "Negative of surface plasmons in the transmission of metallic gratins with very narrow slits," Phys. Rev. Lett. 88, 057403-1-4 (2002).
  5. P. Lalanne, C. Sauvan, J. P. Hugonin, J. C. Rodier, and P. Chavel, "Perturbative approach for surface plasmon effects on flat interfaces periodically corrugated by subwavelength apertures," Phys. Rev. B 68, 125404-1-11 (2003).
  6. D. Pacifici, H. J. Lezec, H. A. Atwater, and J. Weiner, "Quantitative determination of enhanced and suppressed transmission through subwavelength slit arrays in silver films," arXiv:0708.1886v2 [Physics.Optics] 15 Aug 2007.
  7. H. J. Lezec, and T. Thio, "Diffracted evanescent wave model for enhanced and suppressed optical transmission through subwavelength hole arrays," Opt. Express 12, 3629-3651 (2004).
    [CrossRef]
  8. O. T. A. Janssen, H. P. Urbach, and G. W. ’t Hooft, "On the phase of plasmons excited by slits in a metal film," Opt. Express 14, 11823-11832 (2006).
    [CrossRef]
  9. G. Leveque, O. J. F. Martin, and J. Weiner, "Transient behavior of surface plasmon polaritons scattered at a subwavelength groove," Phys. Rev. B 76, 155418-1-8 (2007).
  10. G. Gay, O. Alloschery, B. Viaris de Lesegno, and J. Weiner, "Surface wave generation and propagation on metallic subwavelength structures measured by Far-Field Interferometry," Phys. Rev. Lett. 96, 213901-1-4 (2006).
  11. J. S. Stratton, Electromagnetic Theory, (McGraw-Hill, New York, 1941).
  12. H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings, (Springer-Verlag, Berlin, 1988).
  13. M. Born and E. Wolf, Principles of Optics, 6th edition, (Pergamon, Oxford, 1980).
  14. F. Kalkum, G. Gay, J. Weiner, H. J. Lezec, Y. Xie, and M. Mansuripur, "Surface-wave interferometry on single subwavelength slit-groove structures fabricated on Au films," Opt. Express 15, 2613-261 (2007).
    [CrossRef]
  15. G. Gay, O. Alloschery, B. Viaris de Lesegno, C. O’Dwyer, J. Weiner, and H. J. Lezec, "The optical response of nanostructured surfaces and the composite diffracted evanescent wave model," Nature Phys. 264-267 (2006).

2007 (1)

2006 (1)

2004 (1)

1999 (1)

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry," Transmission resonances on metallic gratings with very narrow slits" Phys. Rev. Lett. 83, 2845-2848 (1999).
[CrossRef]

’t Hooft, G. W.

Alloschery, O.

G. Gay, O. Alloschery, B. Viaris de Lesegno, C. O’Dwyer, J. Weiner, and H. J. Lezec, "The optical response of nanostructured surfaces and the composite diffracted evanescent wave model," Nature Phys. 264-267 (2006).

G. Gay, O. Alloschery, J. Weiner, H. J. Lezec, C. O’Dwyer, M. Sukharev, and T. Seideman, "Surface quality and surface waves on subwavelength-structured silver films," Phys. Rev. E 75, 016612-1-4 (2007) and references cited therein.

G. Gay, O. Alloschery, B. Viaris de Lesegno, and J. Weiner, "Surface wave generation and propagation on metallic subwavelength structures measured by Far-Field Interferometry," Phys. Rev. Lett. 96, 213901-1-4 (2006).

Cao, Q.

Q. Cao and Ph. Lalanne, "Negative of surface plasmons in the transmission of metallic gratins with very narrow slits," Phys. Rev. Lett. 88, 057403-1-4 (2002).

Chavel, P.

P. Lalanne, C. Sauvan, J. P. Hugonin, J. C. Rodier, and P. Chavel, "Perturbative approach for surface plasmon effects on flat interfaces periodically corrugated by subwavelength apertures," Phys. Rev. B 68, 125404-1-11 (2003).

Garcia-Vidal, F. J.

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry," Transmission resonances on metallic gratings with very narrow slits" Phys. Rev. Lett. 83, 2845-2848 (1999).
[CrossRef]

Gay, G.

F. Kalkum, G. Gay, J. Weiner, H. J. Lezec, Y. Xie, and M. Mansuripur, "Surface-wave interferometry on single subwavelength slit-groove structures fabricated on Au films," Opt. Express 15, 2613-261 (2007).
[CrossRef]

G. Gay, O. Alloschery, B. Viaris de Lesegno, and J. Weiner, "Surface wave generation and propagation on metallic subwavelength structures measured by Far-Field Interferometry," Phys. Rev. Lett. 96, 213901-1-4 (2006).

G. Gay, O. Alloschery, J. Weiner, H. J. Lezec, C. O’Dwyer, M. Sukharev, and T. Seideman, "Surface quality and surface waves on subwavelength-structured silver films," Phys. Rev. E 75, 016612-1-4 (2007) and references cited therein.

G. Gay, O. Alloschery, B. Viaris de Lesegno, C. O’Dwyer, J. Weiner, and H. J. Lezec, "The optical response of nanostructured surfaces and the composite diffracted evanescent wave model," Nature Phys. 264-267 (2006).

Hugonin, J. P.

P. Lalanne, C. Sauvan, J. P. Hugonin, J. C. Rodier, and P. Chavel, "Perturbative approach for surface plasmon effects on flat interfaces periodically corrugated by subwavelength apertures," Phys. Rev. B 68, 125404-1-11 (2003).

Janssen, O. T. A.

Kalkum, F.

Lalanne, P.

P. Lalanne, C. Sauvan, J. P. Hugonin, J. C. Rodier, and P. Chavel, "Perturbative approach for surface plasmon effects on flat interfaces periodically corrugated by subwavelength apertures," Phys. Rev. B 68, 125404-1-11 (2003).

Lalanne, Ph.

Q. Cao and Ph. Lalanne, "Negative of surface plasmons in the transmission of metallic gratins with very narrow slits," Phys. Rev. Lett. 88, 057403-1-4 (2002).

Lezec, H. J.

F. Kalkum, G. Gay, J. Weiner, H. J. Lezec, Y. Xie, and M. Mansuripur, "Surface-wave interferometry on single subwavelength slit-groove structures fabricated on Au films," Opt. Express 15, 2613-261 (2007).
[CrossRef]

H. J. Lezec, and T. Thio, "Diffracted evanescent wave model for enhanced and suppressed optical transmission through subwavelength hole arrays," Opt. Express 12, 3629-3651 (2004).
[CrossRef]

G. Gay, O. Alloschery, B. Viaris de Lesegno, C. O’Dwyer, J. Weiner, and H. J. Lezec, "The optical response of nanostructured surfaces and the composite diffracted evanescent wave model," Nature Phys. 264-267 (2006).

G. Gay, O. Alloschery, J. Weiner, H. J. Lezec, C. O’Dwyer, M. Sukharev, and T. Seideman, "Surface quality and surface waves on subwavelength-structured silver films," Phys. Rev. E 75, 016612-1-4 (2007) and references cited therein.

Mansuripur, M.

F. Kalkum, G. Gay, J. Weiner, H. J. Lezec, Y. Xie, and M. Mansuripur, "Surface-wave interferometry on single subwavelength slit-groove structures fabricated on Au films," Opt. Express 15, 2613-261 (2007).
[CrossRef]

A. R. Zakharian, J. V. Moloney, and M. Mansuripur, "Surface plasmon polaritons on metallic surfaces," Opt. Express 15, 183-197 (2007) and references cited therein.

Moloney, J. V.

A. R. Zakharian, J. V. Moloney, and M. Mansuripur, "Surface plasmon polaritons on metallic surfaces," Opt. Express 15, 183-197 (2007) and references cited therein.

O’Dwyer, C.

G. Gay, O. Alloschery, B. Viaris de Lesegno, C. O’Dwyer, J. Weiner, and H. J. Lezec, "The optical response of nanostructured surfaces and the composite diffracted evanescent wave model," Nature Phys. 264-267 (2006).

G. Gay, O. Alloschery, J. Weiner, H. J. Lezec, C. O’Dwyer, M. Sukharev, and T. Seideman, "Surface quality and surface waves on subwavelength-structured silver films," Phys. Rev. E 75, 016612-1-4 (2007) and references cited therein.

Pendry, J. B.

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry," Transmission resonances on metallic gratings with very narrow slits" Phys. Rev. Lett. 83, 2845-2848 (1999).
[CrossRef]

Porto, J. A.

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry," Transmission resonances on metallic gratings with very narrow slits" Phys. Rev. Lett. 83, 2845-2848 (1999).
[CrossRef]

Rodier, J. C.

P. Lalanne, C. Sauvan, J. P. Hugonin, J. C. Rodier, and P. Chavel, "Perturbative approach for surface plasmon effects on flat interfaces periodically corrugated by subwavelength apertures," Phys. Rev. B 68, 125404-1-11 (2003).

Sauvan, C.

P. Lalanne, C. Sauvan, J. P. Hugonin, J. C. Rodier, and P. Chavel, "Perturbative approach for surface plasmon effects on flat interfaces periodically corrugated by subwavelength apertures," Phys. Rev. B 68, 125404-1-11 (2003).

Seideman, T.

G. Gay, O. Alloschery, J. Weiner, H. J. Lezec, C. O’Dwyer, M. Sukharev, and T. Seideman, "Surface quality and surface waves on subwavelength-structured silver films," Phys. Rev. E 75, 016612-1-4 (2007) and references cited therein.

Sukharev, M.

G. Gay, O. Alloschery, J. Weiner, H. J. Lezec, C. O’Dwyer, M. Sukharev, and T. Seideman, "Surface quality and surface waves on subwavelength-structured silver films," Phys. Rev. E 75, 016612-1-4 (2007) and references cited therein.

Thio, T.

Urbach, H. P.

Viaris de Lesegno, B.

G. Gay, O. Alloschery, B. Viaris de Lesegno, C. O’Dwyer, J. Weiner, and H. J. Lezec, "The optical response of nanostructured surfaces and the composite diffracted evanescent wave model," Nature Phys. 264-267 (2006).

G. Gay, O. Alloschery, B. Viaris de Lesegno, and J. Weiner, "Surface wave generation and propagation on metallic subwavelength structures measured by Far-Field Interferometry," Phys. Rev. Lett. 96, 213901-1-4 (2006).

Weiner, J.

F. Kalkum, G. Gay, J. Weiner, H. J. Lezec, Y. Xie, and M. Mansuripur, "Surface-wave interferometry on single subwavelength slit-groove structures fabricated on Au films," Opt. Express 15, 2613-261 (2007).
[CrossRef]

G. Gay, O. Alloschery, B. Viaris de Lesegno, and J. Weiner, "Surface wave generation and propagation on metallic subwavelength structures measured by Far-Field Interferometry," Phys. Rev. Lett. 96, 213901-1-4 (2006).

G. Gay, O. Alloschery, J. Weiner, H. J. Lezec, C. O’Dwyer, M. Sukharev, and T. Seideman, "Surface quality and surface waves on subwavelength-structured silver films," Phys. Rev. E 75, 016612-1-4 (2007) and references cited therein.

G. Gay, O. Alloschery, B. Viaris de Lesegno, C. O’Dwyer, J. Weiner, and H. J. Lezec, "The optical response of nanostructured surfaces and the composite diffracted evanescent wave model," Nature Phys. 264-267 (2006).

Xie, Y.

Zakharian, A. R.

A. R. Zakharian, J. V. Moloney, and M. Mansuripur, "Surface plasmon polaritons on metallic surfaces," Opt. Express 15, 183-197 (2007) and references cited therein.

Opt. Express (3)

Phys. Rev. Lett. (1)

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry," Transmission resonances on metallic gratings with very narrow slits" Phys. Rev. Lett. 83, 2845-2848 (1999).
[CrossRef]

Other (11)

Q. Cao and Ph. Lalanne, "Negative of surface plasmons in the transmission of metallic gratins with very narrow slits," Phys. Rev. Lett. 88, 057403-1-4 (2002).

P. Lalanne, C. Sauvan, J. P. Hugonin, J. C. Rodier, and P. Chavel, "Perturbative approach for surface plasmon effects on flat interfaces periodically corrugated by subwavelength apertures," Phys. Rev. B 68, 125404-1-11 (2003).

D. Pacifici, H. J. Lezec, H. A. Atwater, and J. Weiner, "Quantitative determination of enhanced and suppressed transmission through subwavelength slit arrays in silver films," arXiv:0708.1886v2 [Physics.Optics] 15 Aug 2007.

G. Leveque, O. J. F. Martin, and J. Weiner, "Transient behavior of surface plasmon polaritons scattered at a subwavelength groove," Phys. Rev. B 76, 155418-1-8 (2007).

G. Gay, O. Alloschery, B. Viaris de Lesegno, and J. Weiner, "Surface wave generation and propagation on metallic subwavelength structures measured by Far-Field Interferometry," Phys. Rev. Lett. 96, 213901-1-4 (2006).

J. S. Stratton, Electromagnetic Theory, (McGraw-Hill, New York, 1941).

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings, (Springer-Verlag, Berlin, 1988).

M. Born and E. Wolf, Principles of Optics, 6th edition, (Pergamon, Oxford, 1980).

G. Gay, O. Alloschery, B. Viaris de Lesegno, C. O’Dwyer, J. Weiner, and H. J. Lezec, "The optical response of nanostructured surfaces and the composite diffracted evanescent wave model," Nature Phys. 264-267 (2006).

A. R. Zakharian, J. V. Moloney, and M. Mansuripur, "Surface plasmon polaritons on metallic surfaces," Opt. Express 15, 183-197 (2007) and references cited therein.

G. Gay, O. Alloschery, J. Weiner, H. J. Lezec, C. O’Dwyer, M. Sukharev, and T. Seideman, "Surface quality and surface waves on subwavelength-structured silver films," Phys. Rev. E 75, 016612-1-4 (2007) and references cited therein.

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