Abstract

We show the possibility of detecting small anisotropies in holographic polymer dispersed liquid-crystal samples, using a simple experimental setup that allows us to determine the behavior of the diffraction efficiency versus incident angle for two reading polarizations. This analysis is extremely sensitive to small changes in the parameters that define the grating anisotropy, giving us a way to determine with great accuracy the components of the modulated part of the dielectric tensor.

© 2003 Optical Society of America

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References

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  1. H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).
    [CrossRef]
  2. G. Montemezzani and M. Zgonik, Phys. Rev. E 55, 1035 (1997).
    [CrossRef]
  3. J. J. Butler and M. S. Malcuit, Opt. Lett. 25, 420 (2000).
    [CrossRef]
  4. J. J. Butler, M. S. Malcuit, and M. A. Rodriguez, J. Opt. Soc. Am. B 19, 183 (2002).
    [CrossRef]
  5. M. E. Holmes and M. S. Malcuit, Phys. Rev. E 65, 066603 (2002).
    [CrossRef]
  6. M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, J. Appl. Phys. 90, 3831 (2001).
    [CrossRef]
  7. M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, Mol. Cryst. Liq. Cryst. 375, 455 (2002).
    [CrossRef]
  8. R. L. Sutherland, L. V. Natarajan, V. P. Tondiglia, and T. J. Bunning, Chem. Mater. 5, 1533 (1993).
    [CrossRef]

2002

J. J. Butler, M. S. Malcuit, and M. A. Rodriguez, J. Opt. Soc. Am. B 19, 183 (2002).
[CrossRef]

M. E. Holmes and M. S. Malcuit, Phys. Rev. E 65, 066603 (2002).
[CrossRef]

M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, Mol. Cryst. Liq. Cryst. 375, 455 (2002).
[CrossRef]

2001

M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, J. Appl. Phys. 90, 3831 (2001).
[CrossRef]

2000

1997

G. Montemezzani and M. Zgonik, Phys. Rev. E 55, 1035 (1997).
[CrossRef]

1993

R. L. Sutherland, L. V. Natarajan, V. P. Tondiglia, and T. J. Bunning, Chem. Mater. 5, 1533 (1993).
[CrossRef]

1969

H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).
[CrossRef]

Bunning, T. J.

R. L. Sutherland, L. V. Natarajan, V. P. Tondiglia, and T. J. Bunning, Chem. Mater. 5, 1533 (1993).
[CrossRef]

Butler, J. J.

Crawford, G. P.

M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, Mol. Cryst. Liq. Cryst. 375, 455 (2002).
[CrossRef]

M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, J. Appl. Phys. 90, 3831 (2001).
[CrossRef]

Drevenšek Olenik, I.

M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, Mol. Cryst. Liq. Cryst. 375, 455 (2002).
[CrossRef]

M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, J. Appl. Phys. 90, 3831 (2001).
[CrossRef]

Fontecchio, A. K.

M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, Mol. Cryst. Liq. Cryst. 375, 455 (2002).
[CrossRef]

M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, J. Appl. Phys. 90, 3831 (2001).
[CrossRef]

Holmes, M. E.

M. E. Holmes and M. S. Malcuit, Phys. Rev. E 65, 066603 (2002).
[CrossRef]

Jazbinsek, M.

M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, Mol. Cryst. Liq. Cryst. 375, 455 (2002).
[CrossRef]

M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, J. Appl. Phys. 90, 3831 (2001).
[CrossRef]

Kogelnik, H.

H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).
[CrossRef]

Malcuit, M. S.

Montemezzani, G.

G. Montemezzani and M. Zgonik, Phys. Rev. E 55, 1035 (1997).
[CrossRef]

Natarajan, L. V.

R. L. Sutherland, L. V. Natarajan, V. P. Tondiglia, and T. J. Bunning, Chem. Mater. 5, 1533 (1993).
[CrossRef]

Rodriguez, M. A.

Sutherland, R. L.

R. L. Sutherland, L. V. Natarajan, V. P. Tondiglia, and T. J. Bunning, Chem. Mater. 5, 1533 (1993).
[CrossRef]

Tondiglia, V. P.

R. L. Sutherland, L. V. Natarajan, V. P. Tondiglia, and T. J. Bunning, Chem. Mater. 5, 1533 (1993).
[CrossRef]

Zgonik, M.

M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, Mol. Cryst. Liq. Cryst. 375, 455 (2002).
[CrossRef]

M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, J. Appl. Phys. 90, 3831 (2001).
[CrossRef]

G. Montemezzani and M. Zgonik, Phys. Rev. E 55, 1035 (1997).
[CrossRef]

Bell Syst. Tech. J.

H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).
[CrossRef]

Chem. Mater.

R. L. Sutherland, L. V. Natarajan, V. P. Tondiglia, and T. J. Bunning, Chem. Mater. 5, 1533 (1993).
[CrossRef]

J. Appl. Phys.

M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, J. Appl. Phys. 90, 3831 (2001).
[CrossRef]

J. Opt. Soc. Am. B

Mol. Cryst. Liq. Cryst.

M. Jazbinsek, I. Drevenšek Olenik, M. Zgonik, A. K. Fontecchio, and G. P. Crawford, Mol. Cryst. Liq. Cryst. 375, 455 (2002).
[CrossRef]

Opt. Lett.

Phys. Rev. E

M. E. Holmes and M. S. Malcuit, Phys. Rev. E 65, 066603 (2002).
[CrossRef]

G. Montemezzani and M. Zgonik, Phys. Rev. E 55, 1035 (1997).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Transmission spectrum of the Bragg grating for an s-polarized white light. Each spectrum is obtained by rotation of the HPDLC sample with steps of 0.5°.

Fig. 2
Fig. 2

Diffraction efficiency of an anisotropic volume grating versus the internal Bragg angle. Filled squares, experimental data points including the error bar derived from the spectral analysis; solid curve, theoretical calculation obtained with the two-wave theory of Montemezzani et al., dashed curve, theoretical calculation obtained with the Kogelnik theory.

Fig. 3
Fig. 3

Dependence of the diffraction efficiency, defined as the ratio between the diffracted light intensity and the incident light intensity, versus the internal incidence angle θ0,Δθ=θB-θ0.

Equations (5)

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

ηs/pd=sin2vs/p2+ξ21/21+ξ2/vs/p2exp-2αd,
vs/p2=k02Ars/p2d216n02 cos2δcos2θ,
ξ2=Δkr2d24,
vs=πn1dλ0 cos θB,
vp=πn1d cos2θBλ0 cos θB,

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