Abstract

The Gouy phase shift of optical beams in anisotropic indefinite metamaterials displays extraordinary characteristics because of the presence of anisotropic magnetic and electric responses. We propose a simple interpretation of these characteristics from the unusual dispersion relation of the optical waves in the metamaterials, which influences the expectation value of the axial propagation constant of the focused beam.

© 2012 Optical Society of America

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References

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  1. A. E. Siegman, Lasers (University Science, 1986).
  2. R. W. Boyd, Nonlinear Optics (Academic, 1992).
  3. D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
    [CrossRef]
  4. P. Hariharan and P. A. Robinson, J. Mod. Opt. 43, 219 (1996).
    [CrossRef]
  5. S. Feng and H. G. Winful, Opt. Lett. 26, 485 (2001).
    [CrossRef]
  6. J. Yang and H. G. Winful, Opt. Lett. 31, 104 (2006).
    [CrossRef]
  7. T. D. Visser and E. Wolf, Opt. Commun. 283, 3371 (2010).
    [CrossRef]
  8. H. Luo, Z. Ren, W. Shu, and S. Wen, Phys. Rev. A 77, 023812 (2008).
    [CrossRef]
  9. D. R. Smith and D. Schurig, Phys. Rev. Lett. 90, 077405 (2003).
    [CrossRef]
  10. K. J. Chau, Phys. Rev. B 85, 125101 (2012).
    [CrossRef]

2012 (1)

K. J. Chau, Phys. Rev. B 85, 125101 (2012).
[CrossRef]

2010 (1)

T. D. Visser and E. Wolf, Opt. Commun. 283, 3371 (2010).
[CrossRef]

2008 (2)

H. Luo, Z. Ren, W. Shu, and S. Wen, Phys. Rev. A 77, 023812 (2008).
[CrossRef]

D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
[CrossRef]

2006 (1)

2003 (1)

D. R. Smith and D. Schurig, Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

2001 (1)

1996 (1)

P. Hariharan and P. A. Robinson, J. Mod. Opt. 43, 219 (1996).
[CrossRef]

Boyd, R. W.

R. W. Boyd, Nonlinear Optics (Academic, 1992).

Chau, K. J.

K. J. Chau, Phys. Rev. B 85, 125101 (2012).
[CrossRef]

Feng, S.

Hariharan, P.

P. Hariharan and P. A. Robinson, J. Mod. Opt. 43, 219 (1996).
[CrossRef]

Kawase, D.

D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
[CrossRef]

Luo, H.

H. Luo, Z. Ren, W. Shu, and S. Wen, Phys. Rev. A 77, 023812 (2008).
[CrossRef]

Miyamoto, Y.

D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
[CrossRef]

Ren, Z.

H. Luo, Z. Ren, W. Shu, and S. Wen, Phys. Rev. A 77, 023812 (2008).
[CrossRef]

Robinson, P. A.

P. Hariharan and P. A. Robinson, J. Mod. Opt. 43, 219 (1996).
[CrossRef]

Sasaki, K.

D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
[CrossRef]

Schurig, D.

D. R. Smith and D. Schurig, Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

Shu, W.

H. Luo, Z. Ren, W. Shu, and S. Wen, Phys. Rev. A 77, 023812 (2008).
[CrossRef]

Siegman, A. E.

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

Smith, D. R.

D. R. Smith and D. Schurig, Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

Takeda, M.

D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
[CrossRef]

Takeuchi, S.

D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
[CrossRef]

Visser, T. D.

T. D. Visser and E. Wolf, Opt. Commun. 283, 3371 (2010).
[CrossRef]

Wen, S.

H. Luo, Z. Ren, W. Shu, and S. Wen, Phys. Rev. A 77, 023812 (2008).
[CrossRef]

Winful, H. G.

Wolf, E.

T. D. Visser and E. Wolf, Opt. Commun. 283, 3371 (2010).
[CrossRef]

Yang, J.

J. Mod. Opt. (1)

P. Hariharan and P. A. Robinson, J. Mod. Opt. 43, 219 (1996).
[CrossRef]

Opt. Commun. (1)

T. D. Visser and E. Wolf, Opt. Commun. 283, 3371 (2010).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (1)

H. Luo, Z. Ren, W. Shu, and S. Wen, Phys. Rev. A 77, 023812 (2008).
[CrossRef]

Phys. Rev. B (1)

K. J. Chau, Phys. Rev. B 85, 125101 (2012).
[CrossRef]

Phys. Rev. Lett. (2)

D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
[CrossRef]

D. R. Smith and D. Schurig, Phys. Rev. Lett. 90, 077405 (2003).
[CrossRef]

Other (2)

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

R. W. Boyd, Nonlinear Optics (Academic, 1992).

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Figures (2)

Fig. 1.
Fig. 1.

(a) Illustration of decreased magnitude of kz(Δ) for a nonzero kx=Δ in an elliptic dispersion curve. (b) Propagation phase Φ(z) versus z.

Fig. 2.
Fig. 2.

(a) Illustration of increased magnitude of kz(Δ) for a nonzero kx=Δ in a hyperbolic dispersion curve. (b) Propagation phase Φ(z) versus z.

Tables (1)

Tables Icon

Table 1. Sign Dependence of β and ΦG on εx, μy and εz

Equations (10)

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ε¯¯(μ¯¯)=(εx(μx)000εy(μy)000εz(μz)).
2Hz2+εxεz2Hx2+2iβHz=0,
β=k0εxμy.
H(x,z)=A0ziz0exp[iεzεxβx22(ziz0)].
z0=εzεxβw022=εzμyεxπw02λ.
ΦD(z)=βz.
ΦG(z)=12arctan(zz0)+σπ4,
kz2εxμy+kx2εzμy=k02,
k¯z=kz2β=βεxεzkx2β.
Φa(z)=εxβεzkx2dz=12arctan(zz0).

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