Abstract

A possibility to transmit near field through a periscope-like endoscope formed by an array of bent metallic rods is investigated. This is a first step on the way to development of flexible near-field endoscopes. An effort to tunnel the near field of a crown-shaped object through the periscope with 45° bending angle is made, and a shift in the operating frequency band with respect to that of the straight endoscope is observed. An analysis of transmission coefficient as a function of transverse wave vector has been provided for a better understanding of the device operation. A distinctive nature of surface waves appearing at both interfaces has also been reported.

© 2010 Optical Society of America

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  1. G. Shvets, S. Trendafilov, J. B. Pendry, and A. Sarychev, Phys. Rev. Lett. 99, 053903 (2007).
    [CrossRef] [PubMed]
  2. P. A. Belov, Y. Zhao, S. Tse, P. Ikonen, M. G. Silveirinha, C. R. Simovski, S. Tretyakov, Y. Hao, and C. G. Parini, Phys. Rev. B 77, 193108 (2008).
    [CrossRef]
  3. P. A. Belov, Y. Hao, and S. Sudhakaran, Phys. Rev. B 73, 033108 (2006).
    [CrossRef]
  4. P. A. Belov, Y. Zhao, S. Sudhakaran, A. Alomainy, and Y. Hao, Appl. Phys. Lett. 89, 262109 (2006).
    [CrossRef]
  5. M. Silveirinha, P. A. Belov, and C. R. Simovski, Phys. Rev. B 75, 035108 (2007).
    [CrossRef]
  6. A. Ono, Jun-ichi Kato, and S. Kawata, Phys. Rev. Lett. 95, 267407 (2005).
    [CrossRef]
  7. P. Ikonen, P. A. Belov, C. R. Simovski, Y. Hao, and S. Tretyakov, Appl. Phys. Lett. 91, 104102 (2007).
    [CrossRef]
  8. S. Kawata, A. Ono, and P. Verma, Nat. Photonics 2, 438 (2008).
    [CrossRef]
  9. M. Silveirinha, P. A. Belov, and C. R. Simovski, Opt. Lett. 33, 1726 (2008).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  17. C. J. Nederveen, J. Acoust. Soc. Am. 104, 1616 (1998).
    [CrossRef]
  18. S. Dequand, S. J. Hulshoff, A. Ayregan, J. Huijnene, R. ter Riet, L. J. van Lier, and A. Hirschberg, Acta Acust. 89, 1025 (2003).

2009 (2)

X. Radu, D. Garray, and C. Craeye, Metamaterials 3, pp. 90 (2009).
[CrossRef]

A. Rahman, P. A. Belov, M. G. Silveirinha, C. R. Simovski, Y. Hao, and C. G. Parini, Appl. Phys. Lett. 94, 031104 (2009).
[CrossRef]

2008 (4)

P. A. Belov, Y. Zhao, S. Tse, P. Ikonen, M. G. Silveirinha, C. R. Simovski, S. Tretyakov, Y. Hao, and C. G. Parini, Phys. Rev. B 77, 193108 (2008).
[CrossRef]

S. Kawata, A. Ono, and P. Verma, Nat. Photonics 2, 438 (2008).
[CrossRef]

M. Silveirinha, P. A. Belov, and C. R. Simovski, Opt. Lett. 33, 1726 (2008).
[CrossRef] [PubMed]

X. Radu, A. Lapeyronnie, and C. Craeye, Electromagnetics 28, pp. 531 (2008).
[CrossRef]

2007 (3)

G. Shvets, S. Trendafilov, J. B. Pendry, and A. Sarychev, Phys. Rev. Lett. 99, 053903 (2007).
[CrossRef] [PubMed]

P. Ikonen, P. A. Belov, C. R. Simovski, Y. Hao, and S. Tretyakov, Appl. Phys. Lett. 91, 104102 (2007).
[CrossRef]

M. Silveirinha, P. A. Belov, and C. R. Simovski, Phys. Rev. B 75, 035108 (2007).
[CrossRef]

2006 (3)

P. A. Belov, Y. Hao, and S. Sudhakaran, Phys. Rev. B 73, 033108 (2006).
[CrossRef]

P. A. Belov, Y. Zhao, S. Sudhakaran, A. Alomainy, and Y. Hao, Appl. Phys. Lett. 89, 262109 (2006).
[CrossRef]

P. A. Belov and M. G. Silveirinha, Phys. Rev. E 73, 056607 (2006).
[CrossRef]

2005 (1)

A. Ono, Jun-ichi Kato, and S. Kawata, Phys. Rev. Lett. 95, 267407 (2005).
[CrossRef]

2003 (1)

S. Dequand, S. J. Hulshoff, A. Ayregan, J. Huijnene, R. ter Riet, L. J. van Lier, and A. Hirschberg, Acta Acust. 89, 1025 (2003).

1998 (1)

C. J. Nederveen, J. Acoust. Soc. Am. 104, 1616 (1998).
[CrossRef]

1975 (1)

A. F. Thomson and A. Gopinath, IEEE Trans. Microwave Theory Tech. 23, 648 (1975).
[CrossRef]

Alomainy, A.

P. A. Belov, Y. Zhao, S. Sudhakaran, A. Alomainy, and Y. Hao, Appl. Phys. Lett. 89, 262109 (2006).
[CrossRef]

Ayregan, A.

S. Dequand, S. J. Hulshoff, A. Ayregan, J. Huijnene, R. ter Riet, L. J. van Lier, and A. Hirschberg, Acta Acust. 89, 1025 (2003).

Belov, P. A.

A. Rahman, P. A. Belov, M. G. Silveirinha, C. R. Simovski, Y. Hao, and C. G. Parini, Appl. Phys. Lett. 94, 031104 (2009).
[CrossRef]

M. Silveirinha, P. A. Belov, and C. R. Simovski, Opt. Lett. 33, 1726 (2008).
[CrossRef] [PubMed]

P. A. Belov, Y. Zhao, S. Tse, P. Ikonen, M. G. Silveirinha, C. R. Simovski, S. Tretyakov, Y. Hao, and C. G. Parini, Phys. Rev. B 77, 193108 (2008).
[CrossRef]

M. Silveirinha, P. A. Belov, and C. R. Simovski, Phys. Rev. B 75, 035108 (2007).
[CrossRef]

P. Ikonen, P. A. Belov, C. R. Simovski, Y. Hao, and S. Tretyakov, Appl. Phys. Lett. 91, 104102 (2007).
[CrossRef]

P. A. Belov, Y. Hao, and S. Sudhakaran, Phys. Rev. B 73, 033108 (2006).
[CrossRef]

P. A. Belov, Y. Zhao, S. Sudhakaran, A. Alomainy, and Y. Hao, Appl. Phys. Lett. 89, 262109 (2006).
[CrossRef]

P. A. Belov and M. G. Silveirinha, Phys. Rev. E 73, 056607 (2006).
[CrossRef]

Craeye, C.

X. Radu, D. Garray, and C. Craeye, Metamaterials 3, pp. 90 (2009).
[CrossRef]

X. Radu, A. Lapeyronnie, and C. Craeye, Electromagnetics 28, pp. 531 (2008).
[CrossRef]

Dequand, S.

S. Dequand, S. J. Hulshoff, A. Ayregan, J. Huijnene, R. ter Riet, L. J. van Lier, and A. Hirschberg, Acta Acust. 89, 1025 (2003).

Edwards, T. C.

T. C. Edwards, Foundations for Microstrip Circuit Design (Wiley, 1983), pp. 108-112 .

Garray, D.

X. Radu, D. Garray, and C. Craeye, Metamaterials 3, pp. 90 (2009).
[CrossRef]

Gopinath, A.

A. F. Thomson and A. Gopinath, IEEE Trans. Microwave Theory Tech. 23, 648 (1975).
[CrossRef]

Hao, Y.

A. Rahman, P. A. Belov, M. G. Silveirinha, C. R. Simovski, Y. Hao, and C. G. Parini, Appl. Phys. Lett. 94, 031104 (2009).
[CrossRef]

P. A. Belov, Y. Zhao, S. Tse, P. Ikonen, M. G. Silveirinha, C. R. Simovski, S. Tretyakov, Y. Hao, and C. G. Parini, Phys. Rev. B 77, 193108 (2008).
[CrossRef]

P. Ikonen, P. A. Belov, C. R. Simovski, Y. Hao, and S. Tretyakov, Appl. Phys. Lett. 91, 104102 (2007).
[CrossRef]

P. A. Belov, Y. Zhao, S. Sudhakaran, A. Alomainy, and Y. Hao, Appl. Phys. Lett. 89, 262109 (2006).
[CrossRef]

P. A. Belov, Y. Hao, and S. Sudhakaran, Phys. Rev. B 73, 033108 (2006).
[CrossRef]

Hirschberg, A.

S. Dequand, S. J. Hulshoff, A. Ayregan, J. Huijnene, R. ter Riet, L. J. van Lier, and A. Hirschberg, Acta Acust. 89, 1025 (2003).

Huijnene, J.

S. Dequand, S. J. Hulshoff, A. Ayregan, J. Huijnene, R. ter Riet, L. J. van Lier, and A. Hirschberg, Acta Acust. 89, 1025 (2003).

Hulshoff, S. J.

S. Dequand, S. J. Hulshoff, A. Ayregan, J. Huijnene, R. ter Riet, L. J. van Lier, and A. Hirschberg, Acta Acust. 89, 1025 (2003).

Ikonen, P.

P. A. Belov, Y. Zhao, S. Tse, P. Ikonen, M. G. Silveirinha, C. R. Simovski, S. Tretyakov, Y. Hao, and C. G. Parini, Phys. Rev. B 77, 193108 (2008).
[CrossRef]

P. Ikonen, P. A. Belov, C. R. Simovski, Y. Hao, and S. Tretyakov, Appl. Phys. Lett. 91, 104102 (2007).
[CrossRef]

Kato, Jun-ichi

A. Ono, Jun-ichi Kato, and S. Kawata, Phys. Rev. Lett. 95, 267407 (2005).
[CrossRef]

Kawata, S.

S. Kawata, A. Ono, and P. Verma, Nat. Photonics 2, 438 (2008).
[CrossRef]

A. Ono, Jun-ichi Kato, and S. Kawata, Phys. Rev. Lett. 95, 267407 (2005).
[CrossRef]

Lapeyronnie, A.

X. Radu, A. Lapeyronnie, and C. Craeye, Electromagnetics 28, pp. 531 (2008).
[CrossRef]

Nederveen, C. J.

C. J. Nederveen, J. Acoust. Soc. Am. 104, 1616 (1998).
[CrossRef]

Ono, A.

S. Kawata, A. Ono, and P. Verma, Nat. Photonics 2, 438 (2008).
[CrossRef]

A. Ono, Jun-ichi Kato, and S. Kawata, Phys. Rev. Lett. 95, 267407 (2005).
[CrossRef]

Parini, C. G.

A. Rahman, P. A. Belov, M. G. Silveirinha, C. R. Simovski, Y. Hao, and C. G. Parini, Appl. Phys. Lett. 94, 031104 (2009).
[CrossRef]

P. A. Belov, Y. Zhao, S. Tse, P. Ikonen, M. G. Silveirinha, C. R. Simovski, S. Tretyakov, Y. Hao, and C. G. Parini, Phys. Rev. B 77, 193108 (2008).
[CrossRef]

Pendry, J. B.

G. Shvets, S. Trendafilov, J. B. Pendry, and A. Sarychev, Phys. Rev. Lett. 99, 053903 (2007).
[CrossRef] [PubMed]

Radu, X.

X. Radu, D. Garray, and C. Craeye, Metamaterials 3, pp. 90 (2009).
[CrossRef]

X. Radu, A. Lapeyronnie, and C. Craeye, Electromagnetics 28, pp. 531 (2008).
[CrossRef]

Rahman, A.

A. Rahman, P. A. Belov, M. G. Silveirinha, C. R. Simovski, Y. Hao, and C. G. Parini, Appl. Phys. Lett. 94, 031104 (2009).
[CrossRef]

Sarychev, A.

G. Shvets, S. Trendafilov, J. B. Pendry, and A. Sarychev, Phys. Rev. Lett. 99, 053903 (2007).
[CrossRef] [PubMed]

Shvets, G.

G. Shvets, S. Trendafilov, J. B. Pendry, and A. Sarychev, Phys. Rev. Lett. 99, 053903 (2007).
[CrossRef] [PubMed]

Silveirinha, M.

M. Silveirinha, P. A. Belov, and C. R. Simovski, Opt. Lett. 33, 1726 (2008).
[CrossRef] [PubMed]

M. Silveirinha, P. A. Belov, and C. R. Simovski, Phys. Rev. B 75, 035108 (2007).
[CrossRef]

Silveirinha, M. G.

A. Rahman, P. A. Belov, M. G. Silveirinha, C. R. Simovski, Y. Hao, and C. G. Parini, Appl. Phys. Lett. 94, 031104 (2009).
[CrossRef]

P. A. Belov, Y. Zhao, S. Tse, P. Ikonen, M. G. Silveirinha, C. R. Simovski, S. Tretyakov, Y. Hao, and C. G. Parini, Phys. Rev. B 77, 193108 (2008).
[CrossRef]

P. A. Belov and M. G. Silveirinha, Phys. Rev. E 73, 056607 (2006).
[CrossRef]

Simovski, C. R.

A. Rahman, P. A. Belov, M. G. Silveirinha, C. R. Simovski, Y. Hao, and C. G. Parini, Appl. Phys. Lett. 94, 031104 (2009).
[CrossRef]

M. Silveirinha, P. A. Belov, and C. R. Simovski, Opt. Lett. 33, 1726 (2008).
[CrossRef] [PubMed]

P. A. Belov, Y. Zhao, S. Tse, P. Ikonen, M. G. Silveirinha, C. R. Simovski, S. Tretyakov, Y. Hao, and C. G. Parini, Phys. Rev. B 77, 193108 (2008).
[CrossRef]

M. Silveirinha, P. A. Belov, and C. R. Simovski, Phys. Rev. B 75, 035108 (2007).
[CrossRef]

P. Ikonen, P. A. Belov, C. R. Simovski, Y. Hao, and S. Tretyakov, Appl. Phys. Lett. 91, 104102 (2007).
[CrossRef]

Sudhakaran, S.

P. A. Belov, Y. Zhao, S. Sudhakaran, A. Alomainy, and Y. Hao, Appl. Phys. Lett. 89, 262109 (2006).
[CrossRef]

P. A. Belov, Y. Hao, and S. Sudhakaran, Phys. Rev. B 73, 033108 (2006).
[CrossRef]

ter Riet, R.

S. Dequand, S. J. Hulshoff, A. Ayregan, J. Huijnene, R. ter Riet, L. J. van Lier, and A. Hirschberg, Acta Acust. 89, 1025 (2003).

Thomson, A. F.

A. F. Thomson and A. Gopinath, IEEE Trans. Microwave Theory Tech. 23, 648 (1975).
[CrossRef]

Trendafilov, S.

G. Shvets, S. Trendafilov, J. B. Pendry, and A. Sarychev, Phys. Rev. Lett. 99, 053903 (2007).
[CrossRef] [PubMed]

Tretyakov, S.

P. A. Belov, Y. Zhao, S. Tse, P. Ikonen, M. G. Silveirinha, C. R. Simovski, S. Tretyakov, Y. Hao, and C. G. Parini, Phys. Rev. B 77, 193108 (2008).
[CrossRef]

P. Ikonen, P. A. Belov, C. R. Simovski, Y. Hao, and S. Tretyakov, Appl. Phys. Lett. 91, 104102 (2007).
[CrossRef]

Tse, S.

P. A. Belov, Y. Zhao, S. Tse, P. Ikonen, M. G. Silveirinha, C. R. Simovski, S. Tretyakov, Y. Hao, and C. G. Parini, Phys. Rev. B 77, 193108 (2008).
[CrossRef]

van Lier, L. J.

S. Dequand, S. J. Hulshoff, A. Ayregan, J. Huijnene, R. ter Riet, L. J. van Lier, and A. Hirschberg, Acta Acust. 89, 1025 (2003).

Verma, P.

S. Kawata, A. Ono, and P. Verma, Nat. Photonics 2, 438 (2008).
[CrossRef]

Zhao, Y.

P. A. Belov, Y. Zhao, S. Tse, P. Ikonen, M. G. Silveirinha, C. R. Simovski, S. Tretyakov, Y. Hao, and C. G. Parini, Phys. Rev. B 77, 193108 (2008).
[CrossRef]

P. A. Belov, Y. Zhao, S. Sudhakaran, A. Alomainy, and Y. Hao, Appl. Phys. Lett. 89, 262109 (2006).
[CrossRef]

Acta Acust. (1)

S. Dequand, S. J. Hulshoff, A. Ayregan, J. Huijnene, R. ter Riet, L. J. van Lier, and A. Hirschberg, Acta Acust. 89, 1025 (2003).

Appl. Phys. Lett. (3)

A. Rahman, P. A. Belov, M. G. Silveirinha, C. R. Simovski, Y. Hao, and C. G. Parini, Appl. Phys. Lett. 94, 031104 (2009).
[CrossRef]

P. A. Belov, Y. Zhao, S. Sudhakaran, A. Alomainy, and Y. Hao, Appl. Phys. Lett. 89, 262109 (2006).
[CrossRef]

P. Ikonen, P. A. Belov, C. R. Simovski, Y. Hao, and S. Tretyakov, Appl. Phys. Lett. 91, 104102 (2007).
[CrossRef]

Electromagnetics (1)

X. Radu, A. Lapeyronnie, and C. Craeye, Electromagnetics 28, pp. 531 (2008).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (1)

A. F. Thomson and A. Gopinath, IEEE Trans. Microwave Theory Tech. 23, 648 (1975).
[CrossRef]

J. Acoust. Soc. Am. (1)

C. J. Nederveen, J. Acoust. Soc. Am. 104, 1616 (1998).
[CrossRef]

Metamaterials (1)

X. Radu, D. Garray, and C. Craeye, Metamaterials 3, pp. 90 (2009).
[CrossRef]

Nat. Photonics (1)

S. Kawata, A. Ono, and P. Verma, Nat. Photonics 2, 438 (2008).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. B (3)

M. Silveirinha, P. A. Belov, and C. R. Simovski, Phys. Rev. B 75, 035108 (2007).
[CrossRef]

P. A. Belov, Y. Zhao, S. Tse, P. Ikonen, M. G. Silveirinha, C. R. Simovski, S. Tretyakov, Y. Hao, and C. G. Parini, Phys. Rev. B 77, 193108 (2008).
[CrossRef]

P. A. Belov, Y. Hao, and S. Sudhakaran, Phys. Rev. B 73, 033108 (2006).
[CrossRef]

Phys. Rev. E (1)

P. A. Belov and M. G. Silveirinha, Phys. Rev. E 73, 056607 (2006).
[CrossRef]

Phys. Rev. Lett. (2)

G. Shvets, S. Trendafilov, J. B. Pendry, and A. Sarychev, Phys. Rev. Lett. 99, 053903 (2007).
[CrossRef] [PubMed]

A. Ono, Jun-ichi Kato, and S. Kawata, Phys. Rev. Lett. 95, 267407 (2005).
[CrossRef]

Other (2)

T. C. Edwards, Foundations for Microstrip Circuit Design (Wiley, 1983), pp. 108-112 .

CST Microwave Studio 2006, CST GmbH, http://www.cst. com, retrieved December 22, 2009.

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Figures (3)

Fig. 1
Fig. 1

Geometry of periscope-like 20 × 20 multirod endoscope. The Ag rods have diameter d = 100 nm and the total length L = L 1 + L 2 + L 3 = 8.83 μ m , where L 1 = 3.5 μ m , L 2 = 2.83 μ m , and L 3 = 2.5 μ m . The period of array is a = 300 nm , and the bending angle α is 45°. The crown-shaped near-field source is placed at the distance s = 250 nm away from the endoscope interface.

Fig. 2
Fig. 2

Distributions of amplitude of electric field component normal to the interface in the source and image planes at various frequencies. The excitation of surface waves resulting in the appearance of vertical lines accompanying the crown-like distribution is clearly seen at 34.2 THz and 34.4 THz both in the source and image planes.

Fig. 3
Fig. 3

(a) Unit cell for transmission coefficient calculation. (b) Transmission coefficient for TM polarization as a function of the transverse component of wave vector k y at different frequencies assuming k z = 0 . (c) Same as (b) but for k z with k y = 0 .

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