Abstract

Multi-focus plasmonic lens with metallic nanoslits of variant widths have great potential applications in optical interconnection, integrated optics and nanophotonics. But the design method with simulated annealing algorithm or Yang-Gu algorithm requires complex calculation and multi focuses are limited to be set on the same output plane. In this paper, we propose a design method based on holography. The desired light field distribution and the incident plane wave can be treated as object wave and reference wave, respectively. So the calculation is relative simple and multi focuses can be located in different output plane. Numerical simulation of multi-focus lens design is performed through finite-difference time-domain (FDTD) method and the result confirms the feasibility of our method.

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References

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2012 (2)

J. X. Yu, P. Chuang, W. Xi, and Z. Y. Tao, “A novel iterative computation algorithm for Kinoform of 3D object,” Proc. SPIE 8556, 88561H (2012).

Y. Gao, J. L. Liu, X. R. Zhang, Y. X. Wang, Y. L. Song, S. T. Liu, and Y. Zhang, “Analysis of focal-shift effect in planar metallic nanoslit lenses,” Opt. Express 20(2), 1320–1329 (2012).
[Crossref] [PubMed]

2011 (5)

2010 (1)

2009 (1)

L. Verslegers, P. B. Catrysse, Z. F. Yu, J. S. White, E. S. Barnard, M. L. Brongersma, and S. H. Fan, “Planar lenses based on nanoscale slit arrays in a metallic film,” Nano Lett. 9(1), 235–238 (2009).
[Crossref] [PubMed]

2007 (1)

T. Xu, C. L. Du, C. T. Wang, and X. G. Luo, “Subwavelength imaging by metallic slab lens with nanoslits,” Appl. Phys. Lett. 91(20), 201501 (2007).
[Crossref]

2005 (3)

2004 (1)

2003 (1)

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[Crossref] [PubMed]

1997 (1)

1994 (1)

1974 (1)

J. J. Cowan, “Holography with standing surface plasma-waves,” Opt. Commun. 12(4), 373–378 (1974).
[Crossref]

1970 (1)

Anand, A.

Barnard, E. S.

L. Verslegers, P. B. Catrysse, Z. F. Yu, J. S. White, E. S. Barnard, M. L. Brongersma, and S. H. Fan, “Planar lenses based on nanoscale slit arrays in a metallic film,” Nano Lett. 9(1), 235–238 (2009).
[Crossref] [PubMed]

Barnes, W. L.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[Crossref] [PubMed]

Brolo, A. G.

Brongersma, M. L.

L. Verslegers, P. B. Catrysse, Z. F. Yu, J. S. White, E. S. Barnard, M. L. Brongersma, and S. H. Fan, “Planar lenses based on nanoscale slit arrays in a metallic film,” Nano Lett. 9(1), 235–238 (2009).
[Crossref] [PubMed]

Catrysse, P. B.

L. Verslegers, P. B. Catrysse, Z. F. Yu, J. S. White, E. S. Barnard, M. L. Brongersma, and S. H. Fan, “Planar lenses based on nanoscale slit arrays in a metallic film,” Nano Lett. 9(1), 235–238 (2009).
[Crossref] [PubMed]

Chen, Y. H.

Chuang, P.

J. X. Yu, P. Chuang, W. Xi, and Z. Y. Tao, “A novel iterative computation algorithm for Kinoform of 3D object,” Proc. SPIE 8556, 88561H (2012).

Courtial, J.

Cowan, J. J.

J. J. Cowan, “Holography with standing surface plasma-waves,” Opt. Commun. 12(4), 373–378 (1974).
[Crossref]

Dereux, A.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[Crossref] [PubMed]

Dixit, S. N.

Dong, X. C.

Du, C. L.

T. Xu, C. L. Du, C. T. Wang, and X. G. Luo, “Subwavelength imaging by metallic slab lens with nanoslits,” Appl. Phys. Lett. 91(20), 201501 (2007).
[Crossref]

H. F. Shi, C. T. Wang, C. L. Du, X. G. Luo, X. C. Dong, and H. T. Gao, “Beam manipulating by metallic nano-slits with variant widths,” Opt. Express 13(18), 6815–6820 (2005).
[Crossref] [PubMed]

Ebbesen, T. W.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[Crossref] [PubMed]

Fan, S. H.

L. Verslegers, P. B. Catrysse, Z. F. Yu, J. S. White, E. S. Barnard, M. L. Brongersma, and S. H. Fan, “Planar lenses based on nanoscale slit arrays in a metallic film,” Nano Lett. 9(1), 235–238 (2009).
[Crossref] [PubMed]

Fu, J. X.

Gao, H. T.

Gao, Y.

Gibson, G.

Gordon, R.

Gu, B. Y.

Javidi, B.

Jordan, P.

Kato, J.

M. Ozaki, J. Kato, and S. Kawata, “Surface-plasmon holography with white-light illumination,” Science 332(6026), 218–220 (2011).
[Crossref] [PubMed]

Kawata, S.

M. Ozaki, J. Kato, and S. Kawata, “Surface-plasmon holography with white-light illumination,” Science 332(6026), 218–220 (2011).
[Crossref] [PubMed]

S. Maruo, O. Nakamura, and S. Kawata, “Evanescent-wave holography by use of surface-plasmon resonance,” Appl. Opt. 36(11), 2343–2346 (1997).
[Crossref] [PubMed]

Kermisch, D.

Laczik, Z.

Lawson, J. K.

Leach, J.

Li, Z. Y.

Liu, J. L.

Liu, S. T.

Luo, X. G.

T. Xu, C. L. Du, C. T. Wang, and X. G. Luo, “Subwavelength imaging by metallic slab lens with nanoslits,” Appl. Phys. Lett. 91(20), 201501 (2007).
[Crossref]

H. F. Shi, C. T. Wang, C. L. Du, X. G. Luo, X. C. Dong, and H. T. Gao, “Beam manipulating by metallic nano-slits with variant widths,” Opt. Express 13(18), 6815–6820 (2005).
[Crossref] [PubMed]

Manes, K. R.

Maruo, S.

Nakamura, O.

Nugent, K. A.

Osten, W.

Ozaki, M.

M. Ozaki, J. Kato, and S. Kawata, “Surface-plasmon holography with white-light illumination,” Science 332(6026), 218–220 (2011).
[Crossref] [PubMed]

Padgett, M.

Pedrini, G.

Powell, H. T.

Shi, H. F.

Sinclair, G.

Song, Y. L.

Tao, Z. Y.

J. X. Yu, P. Chuang, W. Xi, and Z. Y. Tao, “A novel iterative computation algorithm for Kinoform of 3D object,” Proc. SPIE 8556, 88561H (2012).

Verslegers, L.

L. Verslegers, P. B. Catrysse, Z. F. Yu, J. S. White, E. S. Barnard, M. L. Brongersma, and S. H. Fan, “Planar lenses based on nanoscale slit arrays in a metallic film,” Nano Lett. 9(1), 235–238 (2009).
[Crossref] [PubMed]

Wang, C. T.

T. Xu, C. L. Du, C. T. Wang, and X. G. Luo, “Subwavelength imaging by metallic slab lens with nanoslits,” Appl. Phys. Lett. 91(20), 201501 (2007).
[Crossref]

H. F. Shi, C. T. Wang, C. L. Du, X. G. Luo, X. C. Dong, and H. T. Gao, “Beam manipulating by metallic nano-slits with variant widths,” Opt. Express 13(18), 6815–6820 (2005).
[Crossref] [PubMed]

Wang, D. Y.

Wang, Y. X.

White, J. S.

L. Verslegers, P. B. Catrysse, Z. F. Yu, J. S. White, E. S. Barnard, M. L. Brongersma, and S. H. Fan, “Planar lenses based on nanoscale slit arrays in a metallic film,” Nano Lett. 9(1), 235–238 (2009).
[Crossref] [PubMed]

Xi, W.

J. X. Yu, P. Chuang, W. Xi, and Z. Y. Tao, “A novel iterative computation algorithm for Kinoform of 3D object,” Proc. SPIE 8556, 88561H (2012).

Xu, T.

T. Xu, C. L. Du, C. T. Wang, and X. G. Luo, “Subwavelength imaging by metallic slab lens with nanoslits,” Appl. Phys. Lett. 91(20), 201501 (2007).
[Crossref]

Yao, E.

Ye, J. S.

Yu, J. X.

J. X. Yu, P. Chuang, W. Xi, and Z. Y. Tao, “A novel iterative computation algorithm for Kinoform of 3D object,” Proc. SPIE 8556, 88561H (2012).

Yu, Y.

Yu, Z. F.

L. Verslegers, P. B. Catrysse, Z. F. Yu, J. S. White, E. S. Barnard, M. L. Brongersma, and S. H. Fan, “Planar lenses based on nanoscale slit arrays in a metallic film,” Nano Lett. 9(1), 235–238 (2009).
[Crossref] [PubMed]

Zappe, H.

Zhang, X. R.

Zhang, Y.

Zheng, X. H.

Zhu, Q. F.

Appl. Opt. (2)

Appl. Phys. Lett. (1)

T. Xu, C. L. Du, C. T. Wang, and X. G. Luo, “Subwavelength imaging by metallic slab lens with nanoslits,” Appl. Phys. Lett. 91(20), 201501 (2007).
[Crossref]

J. Opt. Soc. Am. (1)

Nano Lett. (1)

L. Verslegers, P. B. Catrysse, Z. F. Yu, J. S. White, E. S. Barnard, M. L. Brongersma, and S. H. Fan, “Planar lenses based on nanoscale slit arrays in a metallic film,” Nano Lett. 9(1), 235–238 (2009).
[Crossref] [PubMed]

Nature (1)

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[Crossref] [PubMed]

Opt. Commun. (1)

J. J. Cowan, “Holography with standing surface plasma-waves,” Opt. Commun. 12(4), 373–378 (1974).
[Crossref]

Opt. Express (7)

Opt. Lett. (3)

Proc. SPIE (1)

J. X. Yu, P. Chuang, W. Xi, and Z. Y. Tao, “A novel iterative computation algorithm for Kinoform of 3D object,” Proc. SPIE 8556, 88561H (2012).

Science (1)

M. Ozaki, J. Kato, and S. Kawata, “Surface-plasmon holography with white-light illumination,” Science 332(6026), 218–220 (2011).
[Crossref] [PubMed]

Other (1)

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

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Figures (4)

Fig. 1
Fig. 1

Principle of multi-focus plasmonic lens design. (a) Multi focuses are considered as multi point light source and then the interference light field with reference wave is calculated. (b) Schematic of a plasmonic lens based on nanoslit array with different width perforated in thin metallic Ag film surrounded by air. The thickness of the plasmonic lens is d. When a TM polarized plane wave is incident on the upside, multi focuses can be generated.

Fig. 2
Fig. 2

Design result of plasmonic lens with two focuses by our method. (a) Calculated Hz amplitude distribution by the FDTD method. (b) Phase distribution of Hz. (c) Cross section of the focus. (d) Calculated distribution of slit width at different positions perforated in the Ag film.

Fig. 3
Fig. 3

Design result of plasmonic lens with three tilted focuses by our method. (a) Calculated Hz amplitude distribution by the FDTD method. (b) Phase distribution of Hz. (c) Calculated distribution of slit width at different positions perforated in the Ag film.

Fig. 4
Fig. 4

Comparison of two-focus plasmonic lens design with two methods. (a) Amplitude distribution of Hz of the designed structure by our method. (b) Phase distribution of Hz of the designed structure by our method. (c) Amplitude distribution of Hz of the designed structure by the equal optical path length principle. (d) Phase distribution of Hz of the designed structure by the equal optical path length principle.

Equations (6)

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

U( x=0,y )= j=1 n A j r j exp( i k 0 r j ),
r j = x j 2 + ( y y j ) 2 .
ϕ(y)=2πmod(angle(U),2π),
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 ,
ΔφRe( βd ).
I=AS π 4 [ I 0 + 1 8 I 0 ( I 0 I 0 )+ 3 64 I 0 ( I 0 I 0 )( I 0 I 0 )+ ],

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