Abstract

A novel method is proposed to manipulate beam by modulating light phase through a metallic film with arrayed nano-slits, which have constant depth but variant widths. The slits transport electro-magnetic energy in the form of surface plasmon polaritons (SPPs) in nanometric waveguides and provide desired phase retardations of beam manipulating with variant phase propagation constant. Numerical simulation of an illustrative lens design example is performed through finite-difference time-domain (FDTD) method and shows agreement with theory analysis result. In addition, extraordinary optical transmission of SPPs through sub-wavelength metallic slits is observed in the simulation and helps to improve elements’ energy using factor.

© 2005 Optical Society of America

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  1. T.W. Ebbesen, H.J. Lezec, H.F. Ghaemi, T. Thio, and P.A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667–669 (1998).
    [Crossref]
  2. H.F. Ghaemi, T. Thio, D.E. Grupp, T.W. Ebbesen, and H.J. Lezec, “Surface plasmon enhance optical transmission through subwavelength holes,” Phys. Rev. B 586779–6782 (1998).
    [Crossref]
  3. L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, K.M. Pellerin, T. Thio, J.B. Pendry, and T.W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
    [Crossref] [PubMed]
  4. H.J. Lezec, A. Degiron, E. Devaux, R.A. Linke, F. Martin-Moreno, L.J. Garcia-Vidal, and T.W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 220–222 (2002).
    [Crossref]
  5. L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, A. Degiron, and T.W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
    [Crossref] [PubMed]
  6. F. J. Garcia-Vidal, H. J. Lezec, T.W. Ebbesen, and L. Martin-Moreno, “Multiple Paths to Enhance Optical Transmission through a Single Subwavelength Slit,” Phys. Rev. Lett. 90, 213901(2003).
    [Crossref] [PubMed]
  7. Liang-Bin Yu, Ding-Zheng Lin, Yi-Chun Chen, You-Chia Chang, Kuo-Tung Huang, Jiunn-Woei Liaw, Jyi-Tyan Yeh, Jonq-Min Liu, Chau-Shioung Yeh1, and Chih-Kung Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
    [Crossref]
  8. Zhijun Sun and Hong Koo Kim, “Refractive transmission of light and beam shaping with metallic nano-optic lenses,” Appl. Phy. Lett. 85, 642–644 (2004)
    [Crossref]
  9. H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer, Heidelberg, 1988), Chap. 2.
  10. W. L. Barnes, A. Dereux, and T.W. Ebbesen, “Surface plasmon subwavelength optics,” Nature,  424, 824–830 (2003)
    [Crossref] [PubMed]
  11. Reuven Gordon and Alexandre G. Brolo, “Increased cut-off wavelength for a subwavelength hole in a real metal,” Opt. Express 13, 1933–1938 (2005)
    [Crossref] [PubMed]
  12. Max Born and Emil Wolf, Principles of Optics, (Pergamon Press, 1975).

2005 (2)

Liang-Bin Yu, Ding-Zheng Lin, Yi-Chun Chen, You-Chia Chang, Kuo-Tung Huang, Jiunn-Woei Liaw, Jyi-Tyan Yeh, Jonq-Min Liu, Chau-Shioung Yeh1, and Chih-Kung Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[Crossref]

Reuven Gordon and Alexandre G. Brolo, “Increased cut-off wavelength for a subwavelength hole in a real metal,” Opt. Express 13, 1933–1938 (2005)
[Crossref] [PubMed]

2004 (1)

Zhijun Sun and Hong Koo Kim, “Refractive transmission of light and beam shaping with metallic nano-optic lenses,” Appl. Phy. Lett. 85, 642–644 (2004)
[Crossref]

2003 (3)

W. L. Barnes, A. Dereux, and T.W. Ebbesen, “Surface plasmon subwavelength optics,” Nature,  424, 824–830 (2003)
[Crossref] [PubMed]

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, A. Degiron, and T.W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[Crossref] [PubMed]

F. J. Garcia-Vidal, H. J. Lezec, T.W. Ebbesen, and L. Martin-Moreno, “Multiple Paths to Enhance Optical Transmission through a Single Subwavelength Slit,” Phys. Rev. Lett. 90, 213901(2003).
[Crossref] [PubMed]

2002 (1)

H.J. Lezec, A. Degiron, E. Devaux, R.A. Linke, F. Martin-Moreno, L.J. Garcia-Vidal, and T.W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 220–222 (2002).
[Crossref]

2001 (1)

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, K.M. Pellerin, T. Thio, J.B. Pendry, and T.W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
[Crossref] [PubMed]

1998 (2)

T.W. Ebbesen, H.J. Lezec, H.F. Ghaemi, T. Thio, and P.A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667–669 (1998).
[Crossref]

H.F. Ghaemi, T. Thio, D.E. Grupp, T.W. Ebbesen, and H.J. Lezec, “Surface plasmon enhance optical transmission through subwavelength holes,” Phys. Rev. B 586779–6782 (1998).
[Crossref]

Barnes, W. L.

W. L. Barnes, A. Dereux, and T.W. Ebbesen, “Surface plasmon subwavelength optics,” Nature,  424, 824–830 (2003)
[Crossref] [PubMed]

Born, Max

Max Born and Emil Wolf, Principles of Optics, (Pergamon Press, 1975).

Brolo, Alexandre G.

Chang, You-Chia

Liang-Bin Yu, Ding-Zheng Lin, Yi-Chun Chen, You-Chia Chang, Kuo-Tung Huang, Jiunn-Woei Liaw, Jyi-Tyan Yeh, Jonq-Min Liu, Chau-Shioung Yeh1, and Chih-Kung Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[Crossref]

Chen, Yi-Chun

Liang-Bin Yu, Ding-Zheng Lin, Yi-Chun Chen, You-Chia Chang, Kuo-Tung Huang, Jiunn-Woei Liaw, Jyi-Tyan Yeh, Jonq-Min Liu, Chau-Shioung Yeh1, and Chih-Kung Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[Crossref]

Degiron, A.

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, A. Degiron, and T.W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[Crossref] [PubMed]

H.J. Lezec, A. Degiron, E. Devaux, R.A. Linke, F. Martin-Moreno, L.J. Garcia-Vidal, and T.W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 220–222 (2002).
[Crossref]

Dereux, A.

W. L. Barnes, A. Dereux, and T.W. Ebbesen, “Surface plasmon subwavelength optics,” Nature,  424, 824–830 (2003)
[Crossref] [PubMed]

Devaux, E.

H.J. Lezec, A. Degiron, E. Devaux, R.A. Linke, F. Martin-Moreno, L.J. Garcia-Vidal, and T.W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 220–222 (2002).
[Crossref]

Ebbesen, T.W.

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, A. Degiron, and T.W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[Crossref] [PubMed]

F. J. Garcia-Vidal, H. J. Lezec, T.W. Ebbesen, and L. Martin-Moreno, “Multiple Paths to Enhance Optical Transmission through a Single Subwavelength Slit,” Phys. Rev. Lett. 90, 213901(2003).
[Crossref] [PubMed]

W. L. Barnes, A. Dereux, and T.W. Ebbesen, “Surface plasmon subwavelength optics,” Nature,  424, 824–830 (2003)
[Crossref] [PubMed]

H.J. Lezec, A. Degiron, E. Devaux, R.A. Linke, F. Martin-Moreno, L.J. Garcia-Vidal, and T.W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 220–222 (2002).
[Crossref]

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, K.M. Pellerin, T. Thio, J.B. Pendry, and T.W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
[Crossref] [PubMed]

T.W. Ebbesen, H.J. Lezec, H.F. Ghaemi, T. Thio, and P.A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667–669 (1998).
[Crossref]

H.F. Ghaemi, T. Thio, D.E. Grupp, T.W. Ebbesen, and H.J. Lezec, “Surface plasmon enhance optical transmission through subwavelength holes,” Phys. Rev. B 586779–6782 (1998).
[Crossref]

Garcia-Vidal, F. J.

F. J. Garcia-Vidal, H. J. Lezec, T.W. Ebbesen, and L. Martin-Moreno, “Multiple Paths to Enhance Optical Transmission through a Single Subwavelength Slit,” Phys. Rev. Lett. 90, 213901(2003).
[Crossref] [PubMed]

Garcia-Vidal, F.J.

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, A. Degiron, and T.W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[Crossref] [PubMed]

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, K.M. Pellerin, T. Thio, J.B. Pendry, and T.W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
[Crossref] [PubMed]

Garcia-Vidal, L.J.

H.J. Lezec, A. Degiron, E. Devaux, R.A. Linke, F. Martin-Moreno, L.J. Garcia-Vidal, and T.W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 220–222 (2002).
[Crossref]

Ghaemi, H.F.

H.F. Ghaemi, T. Thio, D.E. Grupp, T.W. Ebbesen, and H.J. Lezec, “Surface plasmon enhance optical transmission through subwavelength holes,” Phys. Rev. B 586779–6782 (1998).
[Crossref]

T.W. Ebbesen, H.J. Lezec, H.F. Ghaemi, T. Thio, and P.A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667–669 (1998).
[Crossref]

Gordon, Reuven

Grupp, D.E.

H.F. Ghaemi, T. Thio, D.E. Grupp, T.W. Ebbesen, and H.J. Lezec, “Surface plasmon enhance optical transmission through subwavelength holes,” Phys. Rev. B 586779–6782 (1998).
[Crossref]

Huang, Kuo-Tung

Liang-Bin Yu, Ding-Zheng Lin, Yi-Chun Chen, You-Chia Chang, Kuo-Tung Huang, Jiunn-Woei Liaw, Jyi-Tyan Yeh, Jonq-Min Liu, Chau-Shioung Yeh1, and Chih-Kung Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[Crossref]

Kim, Hong Koo

Zhijun Sun and Hong Koo Kim, “Refractive transmission of light and beam shaping with metallic nano-optic lenses,” Appl. Phy. Lett. 85, 642–644 (2004)
[Crossref]

Lee, Chih-Kung

Liang-Bin Yu, Ding-Zheng Lin, Yi-Chun Chen, You-Chia Chang, Kuo-Tung Huang, Jiunn-Woei Liaw, Jyi-Tyan Yeh, Jonq-Min Liu, Chau-Shioung Yeh1, and Chih-Kung Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[Crossref]

Lezec, H. J.

F. J. Garcia-Vidal, H. J. Lezec, T.W. Ebbesen, and L. Martin-Moreno, “Multiple Paths to Enhance Optical Transmission through a Single Subwavelength Slit,” Phys. Rev. Lett. 90, 213901(2003).
[Crossref] [PubMed]

Lezec, H.J.

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, A. Degiron, and T.W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[Crossref] [PubMed]

H.J. Lezec, A. Degiron, E. Devaux, R.A. Linke, F. Martin-Moreno, L.J. Garcia-Vidal, and T.W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 220–222 (2002).
[Crossref]

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, K.M. Pellerin, T. Thio, J.B. Pendry, and T.W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
[Crossref] [PubMed]

T.W. Ebbesen, H.J. Lezec, H.F. Ghaemi, T. Thio, and P.A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667–669 (1998).
[Crossref]

H.F. Ghaemi, T. Thio, D.E. Grupp, T.W. Ebbesen, and H.J. Lezec, “Surface plasmon enhance optical transmission through subwavelength holes,” Phys. Rev. B 586779–6782 (1998).
[Crossref]

Liaw, Jiunn-Woei

Liang-Bin Yu, Ding-Zheng Lin, Yi-Chun Chen, You-Chia Chang, Kuo-Tung Huang, Jiunn-Woei Liaw, Jyi-Tyan Yeh, Jonq-Min Liu, Chau-Shioung Yeh1, and Chih-Kung Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[Crossref]

Lin, Ding-Zheng

Liang-Bin Yu, Ding-Zheng Lin, Yi-Chun Chen, You-Chia Chang, Kuo-Tung Huang, Jiunn-Woei Liaw, Jyi-Tyan Yeh, Jonq-Min Liu, Chau-Shioung Yeh1, and Chih-Kung Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[Crossref]

Linke, R.A.

H.J. Lezec, A. Degiron, E. Devaux, R.A. Linke, F. Martin-Moreno, L.J. Garcia-Vidal, and T.W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 220–222 (2002).
[Crossref]

Liu, Jonq-Min

Liang-Bin Yu, Ding-Zheng Lin, Yi-Chun Chen, You-Chia Chang, Kuo-Tung Huang, Jiunn-Woei Liaw, Jyi-Tyan Yeh, Jonq-Min Liu, Chau-Shioung Yeh1, and Chih-Kung Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[Crossref]

Martin-Moreno, F.

H.J. Lezec, A. Degiron, E. Devaux, R.A. Linke, F. Martin-Moreno, L.J. Garcia-Vidal, and T.W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 220–222 (2002).
[Crossref]

Martin-Moreno, L.

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, A. Degiron, and T.W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[Crossref] [PubMed]

F. J. Garcia-Vidal, H. J. Lezec, T.W. Ebbesen, and L. Martin-Moreno, “Multiple Paths to Enhance Optical Transmission through a Single Subwavelength Slit,” Phys. Rev. Lett. 90, 213901(2003).
[Crossref] [PubMed]

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, K.M. Pellerin, T. Thio, J.B. Pendry, and T.W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
[Crossref] [PubMed]

Pellerin, K.M.

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, K.M. Pellerin, T. Thio, J.B. Pendry, and T.W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
[Crossref] [PubMed]

Pendry, J.B.

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, K.M. Pellerin, T. Thio, J.B. Pendry, and T.W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
[Crossref] [PubMed]

Raether, H.

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer, Heidelberg, 1988), Chap. 2.

Sun, Zhijun

Zhijun Sun and Hong Koo Kim, “Refractive transmission of light and beam shaping with metallic nano-optic lenses,” Appl. Phy. Lett. 85, 642–644 (2004)
[Crossref]

Thio, T.

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, K.M. Pellerin, T. Thio, J.B. Pendry, and T.W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
[Crossref] [PubMed]

H.F. Ghaemi, T. Thio, D.E. Grupp, T.W. Ebbesen, and H.J. Lezec, “Surface plasmon enhance optical transmission through subwavelength holes,” Phys. Rev. B 586779–6782 (1998).
[Crossref]

T.W. Ebbesen, H.J. Lezec, H.F. Ghaemi, T. Thio, and P.A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667–669 (1998).
[Crossref]

Wolf, Emil

Max Born and Emil Wolf, Principles of Optics, (Pergamon Press, 1975).

Wolff, P.A.

T.W. Ebbesen, H.J. Lezec, H.F. Ghaemi, T. Thio, and P.A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667–669 (1998).
[Crossref]

Yeh, Jyi-Tyan

Liang-Bin Yu, Ding-Zheng Lin, Yi-Chun Chen, You-Chia Chang, Kuo-Tung Huang, Jiunn-Woei Liaw, Jyi-Tyan Yeh, Jonq-Min Liu, Chau-Shioung Yeh1, and Chih-Kung Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[Crossref]

Yeh1, Chau-Shioung

Liang-Bin Yu, Ding-Zheng Lin, Yi-Chun Chen, You-Chia Chang, Kuo-Tung Huang, Jiunn-Woei Liaw, Jyi-Tyan Yeh, Jonq-Min Liu, Chau-Shioung Yeh1, and Chih-Kung Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[Crossref]

Yu, Liang-Bin

Liang-Bin Yu, Ding-Zheng Lin, Yi-Chun Chen, You-Chia Chang, Kuo-Tung Huang, Jiunn-Woei Liaw, Jyi-Tyan Yeh, Jonq-Min Liu, Chau-Shioung Yeh1, and Chih-Kung Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[Crossref]

Appl. Phy. Lett. (1)

Zhijun Sun and Hong Koo Kim, “Refractive transmission of light and beam shaping with metallic nano-optic lenses,” Appl. Phy. Lett. 85, 642–644 (2004)
[Crossref]

Nature (2)

T.W. Ebbesen, H.J. Lezec, H.F. Ghaemi, T. Thio, and P.A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667–669 (1998).
[Crossref]

W. L. Barnes, A. Dereux, and T.W. Ebbesen, “Surface plasmon subwavelength optics,” Nature,  424, 824–830 (2003)
[Crossref] [PubMed]

Opt. Express (1)

Phys. Rev. B (2)

Liang-Bin Yu, Ding-Zheng Lin, Yi-Chun Chen, You-Chia Chang, Kuo-Tung Huang, Jiunn-Woei Liaw, Jyi-Tyan Yeh, Jonq-Min Liu, Chau-Shioung Yeh1, and Chih-Kung Lee, “Physical origin of directional beaming emitted from a subwavelength slit,” Phys. Rev. B 71, 041405 (2005).
[Crossref]

H.F. Ghaemi, T. Thio, D.E. Grupp, T.W. Ebbesen, and H.J. Lezec, “Surface plasmon enhance optical transmission through subwavelength holes,” Phys. Rev. B 586779–6782 (1998).
[Crossref]

Phys. Rev. Lett. (3)

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, K.M. Pellerin, T. Thio, J.B. Pendry, and T.W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
[Crossref] [PubMed]

L. Martin-Moreno, F.J. Garcia-Vidal, H.J. Lezec, A. Degiron, and T.W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett. 90, 167401 (2003).
[Crossref] [PubMed]

F. J. Garcia-Vidal, H. J. Lezec, T.W. Ebbesen, and L. Martin-Moreno, “Multiple Paths to Enhance Optical Transmission through a Single Subwavelength Slit,” Phys. Rev. Lett. 90, 213901(2003).
[Crossref] [PubMed]

Science (1)

H.J. Lezec, A. Degiron, E. Devaux, R.A. Linke, F. Martin-Moreno, L.J. Garcia-Vidal, and T.W. Ebbesen, “Beaming light from a subwavelength aperture,” Science 297, 220–222 (2002).
[Crossref]

Other (2)

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer, Heidelberg, 1988), Chap. 2.

Max Born and Emil Wolf, Principles of Optics, (Pergamon Press, 1975).

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Figures (4)

Fig. 1.
Fig. 1.

Dependence of propagation constant of SPPs in the slit on the slit width. The solid and dashed lines represent real and imaginary part, respectively. The dotted line stands for plane EM wave in air.

Fig. 2.
Fig. 2.

A schematic of a nano-slit array with different width formed on thin metallic film. Metal thickness in this configuration is d, and each slit width is determined for required phase distribution on the exit side, respectively. A TM-polarized plane wave (consists of Ex, Hy and Ez field component, and Hy component parallel to the y-axis) is incident to the slit array from the left side.

Fig. 3.
Fig. 3.

Widths of slit at different positions formed on 500nm thickness film

Fig. 4.
Fig. 4.

(a) FDTD calculated result of normalized Poynting Vector Sz for designed metallic nano-slits lens. Film thickness is 500nm, and the total slits number is 65. The structure’s exit side is posited at z=0.7 μm . (b) Cross section of the focus at z=1.5 μm .

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

tanh ( β 2 k 0 2 ε d w 2 ) = ε d β 2 k 0 2 ε m ε m β 2 k 0 2 ε d ,
ϕ = ϕ 0 + Δ ϕ 1 + Δ ϕ 2 + βd θ .
θ = arg [ 1 ( 1 β k 0 1 + β k 0 ) 2 exp ( i 2 βd ) ] .
ϕ ( x ) = 2 + 2 πf λ 2 π f 2 + x 2 λ ,

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