Abstract

The principal features of the liquid-crystal molecular orientation within the variable-grating-mode liquid-crystal device have been determined as a function of the applied voltage across the cell by measurement of the polarization properties of light diffracted by the liquid-crystal birefringent phase grating.

© 1984 Optical Society of America

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References

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  1. B. H. Soffer, J. D. Margerum, A. M. Lackner, D. Boswell, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, P. Chavel, Mol. Cryst. Liq. Cryst. 70, 145–161 (1981).
    [CrossRef]
  2. P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, B. H. Soffer, Opt. Lett. 5, 398–400 (1980).
    [CrossRef] [PubMed]
  3. B. H. Soffer, D. Boswell, A. M. Lackner, P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 128–136 (1980).
  4. B. H. Soffer, D. Boswell, A. M. Lackner, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, Proc. Soc. Photo-Opt. Instrum. Eng. 218, 81–87 (1980).
  5. R. C. Jones, J. Opt. Soc. Am. 31, 488–503 (1941).
    [CrossRef]
  6. Yu. P. Bobylev, S. A. Pikin, Sov. Phys. JETP 45, 195–198 (1977).

1981 (1)

B. H. Soffer, J. D. Margerum, A. M. Lackner, D. Boswell, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, P. Chavel, Mol. Cryst. Liq. Cryst. 70, 145–161 (1981).
[CrossRef]

1980 (3)

B. H. Soffer, D. Boswell, A. M. Lackner, P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 128–136 (1980).

B. H. Soffer, D. Boswell, A. M. Lackner, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, Proc. Soc. Photo-Opt. Instrum. Eng. 218, 81–87 (1980).

P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, B. H. Soffer, Opt. Lett. 5, 398–400 (1980).
[CrossRef] [PubMed]

1977 (1)

Yu. P. Bobylev, S. A. Pikin, Sov. Phys. JETP 45, 195–198 (1977).

1941 (1)

Bobylev, Yu. P.

Yu. P. Bobylev, S. A. Pikin, Sov. Phys. JETP 45, 195–198 (1977).

Boswell, D.

B. H. Soffer, J. D. Margerum, A. M. Lackner, D. Boswell, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, P. Chavel, Mol. Cryst. Liq. Cryst. 70, 145–161 (1981).
[CrossRef]

B. H. Soffer, D. Boswell, A. M. Lackner, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, Proc. Soc. Photo-Opt. Instrum. Eng. 218, 81–87 (1980).

B. H. Soffer, D. Boswell, A. M. Lackner, P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 128–136 (1980).

Chavel, P.

B. H. Soffer, J. D. Margerum, A. M. Lackner, D. Boswell, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, P. Chavel, Mol. Cryst. Liq. Cryst. 70, 145–161 (1981).
[CrossRef]

P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, B. H. Soffer, Opt. Lett. 5, 398–400 (1980).
[CrossRef] [PubMed]

B. H. Soffer, D. Boswell, A. M. Lackner, P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 128–136 (1980).

Jones, R. C.

Lackner, A. M.

B. H. Soffer, J. D. Margerum, A. M. Lackner, D. Boswell, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, P. Chavel, Mol. Cryst. Liq. Cryst. 70, 145–161 (1981).
[CrossRef]

B. H. Soffer, D. Boswell, A. M. Lackner, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, Proc. Soc. Photo-Opt. Instrum. Eng. 218, 81–87 (1980).

B. H. Soffer, D. Boswell, A. M. Lackner, P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 128–136 (1980).

Margerum, J. D.

B. H. Soffer, J. D. Margerum, A. M. Lackner, D. Boswell, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, P. Chavel, Mol. Cryst. Liq. Cryst. 70, 145–161 (1981).
[CrossRef]

Pikin, S. A.

Yu. P. Bobylev, S. A. Pikin, Sov. Phys. JETP 45, 195–198 (1977).

Sawchuk, A. A.

B. H. Soffer, J. D. Margerum, A. M. Lackner, D. Boswell, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, P. Chavel, Mol. Cryst. Liq. Cryst. 70, 145–161 (1981).
[CrossRef]

B. H. Soffer, D. Boswell, A. M. Lackner, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, Proc. Soc. Photo-Opt. Instrum. Eng. 218, 81–87 (1980).

P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, B. H. Soffer, Opt. Lett. 5, 398–400 (1980).
[CrossRef] [PubMed]

B. H. Soffer, D. Boswell, A. M. Lackner, P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 128–136 (1980).

Soffer, B. H.

B. H. Soffer, J. D. Margerum, A. M. Lackner, D. Boswell, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, P. Chavel, Mol. Cryst. Liq. Cryst. 70, 145–161 (1981).
[CrossRef]

B. H. Soffer, D. Boswell, A. M. Lackner, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, Proc. Soc. Photo-Opt. Instrum. Eng. 218, 81–87 (1980).

P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, B. H. Soffer, Opt. Lett. 5, 398–400 (1980).
[CrossRef] [PubMed]

B. H. Soffer, D. Boswell, A. M. Lackner, P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 128–136 (1980).

Strand, T. C.

B. H. Soffer, J. D. Margerum, A. M. Lackner, D. Boswell, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, P. Chavel, Mol. Cryst. Liq. Cryst. 70, 145–161 (1981).
[CrossRef]

B. H. Soffer, D. Boswell, A. M. Lackner, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, Proc. Soc. Photo-Opt. Instrum. Eng. 218, 81–87 (1980).

P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, B. H. Soffer, Opt. Lett. 5, 398–400 (1980).
[CrossRef] [PubMed]

B. H. Soffer, D. Boswell, A. M. Lackner, P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 128–136 (1980).

Tanguay, A. R.

B. H. Soffer, J. D. Margerum, A. M. Lackner, D. Boswell, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, P. Chavel, Mol. Cryst. Liq. Cryst. 70, 145–161 (1981).
[CrossRef]

B. H. Soffer, D. Boswell, A. M. Lackner, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, Proc. Soc. Photo-Opt. Instrum. Eng. 218, 81–87 (1980).

B. H. Soffer, D. Boswell, A. M. Lackner, P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 128–136 (1980).

P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, B. H. Soffer, Opt. Lett. 5, 398–400 (1980).
[CrossRef] [PubMed]

J. Opt. Soc. Am. (1)

Mol. Cryst. Liq. Cryst. (1)

B. H. Soffer, J. D. Margerum, A. M. Lackner, D. Boswell, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, P. Chavel, Mol. Cryst. Liq. Cryst. 70, 145–161 (1981).
[CrossRef]

Opt. Lett. (1)

Proc. Soc. Photo-Opt. Instrum. Eng. (2)

B. H. Soffer, D. Boswell, A. M. Lackner, P. Chavel, A. A. Sawchuk, T. C. Strand, A. R. Tanguay, Proc. Soc. Photo-Opt. Instrum. Eng. 232, 128–136 (1980).

B. H. Soffer, D. Boswell, A. M. Lackner, A. R. Tanguay, T. C. Strand, A. A. Sawchuk, Proc. Soc. Photo-Opt. Instrum. Eng. 218, 81–87 (1980).

Sov. Phys. JETP (1)

Yu. P. Bobylev, S. A. Pikin, Sov. Phys. JETP 45, 195–198 (1977).

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Figures (5)

Fig. 1
Fig. 1

VGM liquid-crystal test geometry showing the Cartesian coordinate system referred to in the text as well as the molecular orientation angles α and η. This configuration was utilized in the polarized-light diffraction efficiency and photomicroscopy experiments.

Fig. 2
Fig. 2

The polarization behavior of VGM diffracted orders. The left-hand column indicates the input polarization associated with each row of output polarizations. The inset shows the direction of VGM-domain orientation.

Fig. 3
Fig. 3

Measured diffracted-order intensities for a set of polarizer–analyzer orientations as a function of theoretical intensities calculated from the uniaxial VGM model described in the text.

Fig. 4
Fig. 4

The out-of-plane molecular orientation angle, ηmax, as a function of the applied dc bias voltage across the cell, V.

Fig. 5
Fig. 5

The in-plane molecular orientation angle, αmax, as a function of the applied dc bias voltage across the cell, V.

Equations (5)

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[ A 0 + A ( x ; p ) B ( x ; 2 p ) C ( x ; 2 p ) D 0 + D ( x ; p ) ] ,
[ A B C D ] = n = exp ( j 2 π x n / Λ ) [ A n B n C n D n ] ,
[ 1 sin 2 α ( 1 e j ϕ ) sin α cos α ( 1 e j ϕ ) sin α cos α ( 1 e j ϕ ) 1 cos 2 α ( 1 e j ϕ ) ] ,
ϕ 2 π t λ [ ( sin 2 η n o 2 + c o s 2 η n e 2 ) 1 / 2 n o ] ,
α = α max cos 2 π x Λ , η = ± η max sin 2 π x Λ .

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