Abstract

A simple analysis of the possibility of creating a holographic chiral structure on the basis of Weigert's effect with help of the Jones vector–matrix method was done, to my knowledge, for the first time. A corresponding experiment was also conducted. The results of the investigation show that the diffractive optical element obtained behaves similarly to liquid crystals or sculptured thin films with chiral structures.

© 2006 Optical Society of America

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  1. R. C. Jones, " A new calculus for the treatment of optical systems. VII. Properties of N matrices," J. Opt. Soc. Am. 38, 671- 684 ( 1948).
    [CrossRef]
  2. R. C. Jones, " A new calculus for the treatment of optical systems. VIII. Electromagnetic theory," J. Opt. Soc. Am. 46, 126- 131 ( 1956).
    [CrossRef]
  3. F. Pockels, Lehrbuch der Kristall Optik, (Teubner, 1906).
  4. N. Young. and J. Kowal, " Optically active fluorite films," Nature (London) 183, 104- 105 ( 1959).
    [CrossRef]
  5. F. F. Dawson and N. O. Young, " Helical Kerr cell," J. Opt. Soc. Am. 50, 170- 171 ( 1960).
    [CrossRef]
  6. S. Chandrasekhar, Liquid Crystals (Mir, 1980) (in Russian).
  7. G. Chilaya, " Cholesteric liquid crystals: Optics, electro-optics, and photo-optics," in Handbook Chirality in Liquid Crystals, H.-S.Kitzerow and C.Bahr, eds. (Springer-Verlag, 2001), pp. 159- 185.
    [CrossRef]
  8. G. Chilaya, G. Petriashvili, A. Chanishvili, and D. Sikharulidze, " New pretransitional liquid crystal phase with anomalous selective reflection," Mol. Mater. 8, 245- 255 ( 1997).
  9. A. Laktakia and R. Messier, Sculptured Thin Films: Nanoengineered Morphology and Optics,Proc. SPIE PM142 ( 2005).
  10. G. Chilaya, A. Chanishvili, G. Petriashvili, and D. Sikharulidze, " Anomalous selective reflection at cholesteric-to-smectic A-phase transition," Mol. Cryst. Liq. Cryst. 261, 233- 239 ( 1995).
    [CrossRef]
  11. G. S. Chilaya, Z. M. Elashvili, S. P. Ivchenko, K. D. Vinokur, B. M. Bolotin, and L. N. Lisetski, " Chiral nematic mixtures with improved colour-contrast characteristics," Mol. Cryst. Liq. Cryst. 3(3-4), 97- 102 ( 1986).
  12. F. Weigert, " Uber Einen Neuen Effect der Strahling in Lichtempfindlichen Schichten," Verh. Dtsch. Phys. Ges. 21, 479- 483 ( 1919).
  13. Sh. D. Kakichashvili, " On the polarization recording of holograms," Opt. Spectrosk. 1, 324- 327 ( 1972).
  14. J. M. Jonathan and M. May, " Interferograms generated by anisotropic photographic recording of two partially coherent vibrations perpendicularly polarized," Appl. Opt. 19, 624- 630 ( 1980).
    [CrossRef] [PubMed]
  15. Sh. D. Kakichashvili and Z. V. Wardosanidze, " Reconstruction of polarization microstructure of natural light by means of polarization-holographic method," Pis'ma Zh. Texh. Fiz. 13, 1180- 1183 ( 1987).
  16. W. A. Shurkliff, Polarized Light (Mir, 1965) (in Russian).
  17. I. I. Bronshtein and K. A. Semendiaev, Mathematics Handbook (Nauka, 1964) (in Russian).
  18. M. Born and E. Wolf, Principles of Optics (Nauka, 1970) (in Russian).
  19. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (Mir, 1981) (in Russian).
  20. Sh. D. Kakichashvili, " Method of polarization recording of holograms," Kvant. Elektron. (Moscow) 1, 1435- 1441 ( 1974).
  21. Sh. D. Kakichashvili, Polarization Holography (Nauka, 1989) (in Russian).
  22. R. C. Jones, " A new calculus for the treatment of optical systems," J. Opt. Soc. Am. 31, 488- 493 ( 1941).
    [CrossRef]
  23. A. Ia. Jeltov, B. I. Stepanov, and V. G. Shaverdova, " To investigation of photoanizotropy in the azo-dyes," Zh. Prikl. Spektrosk. 52, 280- 284 ( 1990).
  24. Sh. D. Kakichashvili and Z. V. Wardosanidze, " Characteristic properties of the polarization-holography recording and reconstruction in the photoanisotropy medium Mordant Pure Yellow," in Handbook of Photoanisotropy and Photogirotropy Phenomena in Condensed Media and Polarization Holography, N.N.Gogiberidze, ed. (Mecniereba, 1987), pp. 79- 81 (in Russian).
  25. Sh. D. Kakichashvili, Z. V. Wardosanidze, and D. V. Leselidze, " High effective holographic mirrors on dichromated-gelatin," Sov. Tech. Phys. Lett. 9, 473- 475 ( 1983).
  26. Z. V. Wardosanidze, " On one more possible mechanism of Weigert's effect in azo-dye-colored materials," Appl. Opt. 45, 438- 444 ( 2006).
    [CrossRef] [PubMed]
  27. Z. V. Wardosanidze, " Calculation of the interference pattern in the absorbing medium," in Proceedings of the Institute of Cybernetics (Georgian Academy of Sciences, 2002), Vol. 2, nos. 1-2, 201-204.
  28. Sh. D. Kakichashvili and V. G. Shaverdova, " Photoanisotropy in the yellow mordant azo-dyes," Zh. Nauchn. Prikl. Photogr. Cinematog 5, 242- 245 ( 1979).
  29. Sh. D. Kakichashvili and R. T. Khelashvili, " Interferention measurement of anisotropy parameters of refraction," in Handbook of Photoanisotropy and Photogirotropy Phenomena in Condensed Media and Polarization Holography, N.N.Gogiberidze, ed. (Mecniereba, 1987), pp. 43- 46 (in Russian).
  30. D. Mayerhofer, " Phase holograms on the dichromated gelatin," RCA Rev. 33, 110- 130 ( 1971).
  31. Sh. D. Kakichashvili, Z. V. Wardosanidze, and D. V. Leselidze, " Spectrally nonselective dichromated-gelatin holographic mirrors," Sov. Tech. Phys. Lett. 14, 268- 270 ( 1988).
  32. I. D. Shatalin and Sh. D. Kakichashvili, " Polarization hologramm with 100% diffractive efficiency (polarization cinoform)," Pis'ma Zh. Tekh . Fiz. 13, 1051- 1055 ( 1987).
  33. Z. V. Vardosanidze, " Zone plate of anisotropic profile," in International Colloquium on Diffractive Optical Elements, J. Nowak and M. Zayac, eds., Proc. SPIE 1574, 109- 120 ( 1991).
    [CrossRef]
  34. T. D. Ebralidze and A. N. Mumladze, " Light-induced anisotropy In azo-dye-colored materials," Appl. Opt. 29, 446- 447 ( 1990).
    [CrossRef] [PubMed]
  35. I. D. Shatalin, " On the mechanisms of photoanisotropy in photochemical trans-cis isomerisation," Opt. Spektrosk. 66, 362- 364 ( 1989).

2006 (1)

2005 (1)

A. Laktakia and R. Messier, Sculptured Thin Films: Nanoengineered Morphology and Optics,Proc. SPIE PM142 ( 2005).

1997 (1)

G. Chilaya, G. Petriashvili, A. Chanishvili, and D. Sikharulidze, " New pretransitional liquid crystal phase with anomalous selective reflection," Mol. Mater. 8, 245- 255 ( 1997).

1995 (1)

G. Chilaya, A. Chanishvili, G. Petriashvili, and D. Sikharulidze, " Anomalous selective reflection at cholesteric-to-smectic A-phase transition," Mol. Cryst. Liq. Cryst. 261, 233- 239 ( 1995).
[CrossRef]

1991 (1)

Z. V. Vardosanidze, " Zone plate of anisotropic profile," in International Colloquium on Diffractive Optical Elements, J. Nowak and M. Zayac, eds., Proc. SPIE 1574, 109- 120 ( 1991).
[CrossRef]

1990 (2)

A. Ia. Jeltov, B. I. Stepanov, and V. G. Shaverdova, " To investigation of photoanizotropy in the azo-dyes," Zh. Prikl. Spektrosk. 52, 280- 284 ( 1990).

T. D. Ebralidze and A. N. Mumladze, " Light-induced anisotropy In azo-dye-colored materials," Appl. Opt. 29, 446- 447 ( 1990).
[CrossRef] [PubMed]

1989 (1)

I. D. Shatalin, " On the mechanisms of photoanisotropy in photochemical trans-cis isomerisation," Opt. Spektrosk. 66, 362- 364 ( 1989).

1988 (1)

Sh. D. Kakichashvili, Z. V. Wardosanidze, and D. V. Leselidze, " Spectrally nonselective dichromated-gelatin holographic mirrors," Sov. Tech. Phys. Lett. 14, 268- 270 ( 1988).

1987 (2)

I. D. Shatalin and Sh. D. Kakichashvili, " Polarization hologramm with 100% diffractive efficiency (polarization cinoform)," Pis'ma Zh. Tekh . Fiz. 13, 1051- 1055 ( 1987).

Sh. D. Kakichashvili and Z. V. Wardosanidze, " Reconstruction of polarization microstructure of natural light by means of polarization-holographic method," Pis'ma Zh. Texh. Fiz. 13, 1180- 1183 ( 1987).

1986 (1)

G. S. Chilaya, Z. M. Elashvili, S. P. Ivchenko, K. D. Vinokur, B. M. Bolotin, and L. N. Lisetski, " Chiral nematic mixtures with improved colour-contrast characteristics," Mol. Cryst. Liq. Cryst. 3(3-4), 97- 102 ( 1986).

1983 (1)

Sh. D. Kakichashvili, Z. V. Wardosanidze, and D. V. Leselidze, " High effective holographic mirrors on dichromated-gelatin," Sov. Tech. Phys. Lett. 9, 473- 475 ( 1983).

1980 (1)

1979 (1)

Sh. D. Kakichashvili and V. G. Shaverdova, " Photoanisotropy in the yellow mordant azo-dyes," Zh. Nauchn. Prikl. Photogr. Cinematog 5, 242- 245 ( 1979).

1974 (1)

Sh. D. Kakichashvili, " Method of polarization recording of holograms," Kvant. Elektron. (Moscow) 1, 1435- 1441 ( 1974).

1972 (1)

Sh. D. Kakichashvili, " On the polarization recording of holograms," Opt. Spectrosk. 1, 324- 327 ( 1972).

1971 (1)

D. Mayerhofer, " Phase holograms on the dichromated gelatin," RCA Rev. 33, 110- 130 ( 1971).

1960 (1)

1959 (1)

N. Young. and J. Kowal, " Optically active fluorite films," Nature (London) 183, 104- 105 ( 1959).
[CrossRef]

1956 (1)

1948 (1)

1941 (1)

1919 (1)

F. Weigert, " Uber Einen Neuen Effect der Strahling in Lichtempfindlichen Schichten," Verh. Dtsch. Phys. Ges. 21, 479- 483 ( 1919).

Azzam, R. M. A.

R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (Mir, 1981) (in Russian).

Bashara, N. M.

R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (Mir, 1981) (in Russian).

Bolotin, B. M.

G. S. Chilaya, Z. M. Elashvili, S. P. Ivchenko, K. D. Vinokur, B. M. Bolotin, and L. N. Lisetski, " Chiral nematic mixtures with improved colour-contrast characteristics," Mol. Cryst. Liq. Cryst. 3(3-4), 97- 102 ( 1986).

Born, M.

M. Born and E. Wolf, Principles of Optics (Nauka, 1970) (in Russian).

Bronshtein, I. I.

I. I. Bronshtein and K. A. Semendiaev, Mathematics Handbook (Nauka, 1964) (in Russian).

Chandrasekhar, S.

S. Chandrasekhar, Liquid Crystals (Mir, 1980) (in Russian).

Chanishvili, A.

G. Chilaya, G. Petriashvili, A. Chanishvili, and D. Sikharulidze, " New pretransitional liquid crystal phase with anomalous selective reflection," Mol. Mater. 8, 245- 255 ( 1997).

G. Chilaya, A. Chanishvili, G. Petriashvili, and D. Sikharulidze, " Anomalous selective reflection at cholesteric-to-smectic A-phase transition," Mol. Cryst. Liq. Cryst. 261, 233- 239 ( 1995).
[CrossRef]

Chilaya, G.

G. Chilaya, G. Petriashvili, A. Chanishvili, and D. Sikharulidze, " New pretransitional liquid crystal phase with anomalous selective reflection," Mol. Mater. 8, 245- 255 ( 1997).

G. Chilaya, A. Chanishvili, G. Petriashvili, and D. Sikharulidze, " Anomalous selective reflection at cholesteric-to-smectic A-phase transition," Mol. Cryst. Liq. Cryst. 261, 233- 239 ( 1995).
[CrossRef]

G. Chilaya, " Cholesteric liquid crystals: Optics, electro-optics, and photo-optics," in Handbook Chirality in Liquid Crystals, H.-S.Kitzerow and C.Bahr, eds. (Springer-Verlag, 2001), pp. 159- 185.
[CrossRef]

Chilaya, G. S.

G. S. Chilaya, Z. M. Elashvili, S. P. Ivchenko, K. D. Vinokur, B. M. Bolotin, and L. N. Lisetski, " Chiral nematic mixtures with improved colour-contrast characteristics," Mol. Cryst. Liq. Cryst. 3(3-4), 97- 102 ( 1986).

Dawson, F. F.

Ebralidze, T. D.

Elashvili, Z. M.

G. S. Chilaya, Z. M. Elashvili, S. P. Ivchenko, K. D. Vinokur, B. M. Bolotin, and L. N. Lisetski, " Chiral nematic mixtures with improved colour-contrast characteristics," Mol. Cryst. Liq. Cryst. 3(3-4), 97- 102 ( 1986).

Ivchenko, S. P.

G. S. Chilaya, Z. M. Elashvili, S. P. Ivchenko, K. D. Vinokur, B. M. Bolotin, and L. N. Lisetski, " Chiral nematic mixtures with improved colour-contrast characteristics," Mol. Cryst. Liq. Cryst. 3(3-4), 97- 102 ( 1986).

Jeltov, A. Ia.

A. Ia. Jeltov, B. I. Stepanov, and V. G. Shaverdova, " To investigation of photoanizotropy in the azo-dyes," Zh. Prikl. Spektrosk. 52, 280- 284 ( 1990).

Jonathan, J. M.

Jones, R. C.

Kakichashvili, Sh. D.

Sh. D. Kakichashvili, Z. V. Wardosanidze, and D. V. Leselidze, " Spectrally nonselective dichromated-gelatin holographic mirrors," Sov. Tech. Phys. Lett. 14, 268- 270 ( 1988).

I. D. Shatalin and Sh. D. Kakichashvili, " Polarization hologramm with 100% diffractive efficiency (polarization cinoform)," Pis'ma Zh. Tekh . Fiz. 13, 1051- 1055 ( 1987).

Sh. D. Kakichashvili and Z. V. Wardosanidze, " Reconstruction of polarization microstructure of natural light by means of polarization-holographic method," Pis'ma Zh. Texh. Fiz. 13, 1180- 1183 ( 1987).

Sh. D. Kakichashvili, Z. V. Wardosanidze, and D. V. Leselidze, " High effective holographic mirrors on dichromated-gelatin," Sov. Tech. Phys. Lett. 9, 473- 475 ( 1983).

Sh. D. Kakichashvili and V. G. Shaverdova, " Photoanisotropy in the yellow mordant azo-dyes," Zh. Nauchn. Prikl. Photogr. Cinematog 5, 242- 245 ( 1979).

Sh. D. Kakichashvili, " Method of polarization recording of holograms," Kvant. Elektron. (Moscow) 1, 1435- 1441 ( 1974).

Sh. D. Kakichashvili, " On the polarization recording of holograms," Opt. Spectrosk. 1, 324- 327 ( 1972).

Sh. D. Kakichashvili and R. T. Khelashvili, " Interferention measurement of anisotropy parameters of refraction," in Handbook of Photoanisotropy and Photogirotropy Phenomena in Condensed Media and Polarization Holography, N.N.Gogiberidze, ed. (Mecniereba, 1987), pp. 43- 46 (in Russian).

Sh. D. Kakichashvili, Polarization Holography (Nauka, 1989) (in Russian).

Sh. D. Kakichashvili and Z. V. Wardosanidze, " Characteristic properties of the polarization-holography recording and reconstruction in the photoanisotropy medium Mordant Pure Yellow," in Handbook of Photoanisotropy and Photogirotropy Phenomena in Condensed Media and Polarization Holography, N.N.Gogiberidze, ed. (Mecniereba, 1987), pp. 79- 81 (in Russian).

Khelashvili, R. T.

Sh. D. Kakichashvili and R. T. Khelashvili, " Interferention measurement of anisotropy parameters of refraction," in Handbook of Photoanisotropy and Photogirotropy Phenomena in Condensed Media and Polarization Holography, N.N.Gogiberidze, ed. (Mecniereba, 1987), pp. 43- 46 (in Russian).

Kowal, J.

N. Young. and J. Kowal, " Optically active fluorite films," Nature (London) 183, 104- 105 ( 1959).
[CrossRef]

Laktakia, A.

A. Laktakia and R. Messier, Sculptured Thin Films: Nanoengineered Morphology and Optics,Proc. SPIE PM142 ( 2005).

Leselidze, D. V.

Sh. D. Kakichashvili, Z. V. Wardosanidze, and D. V. Leselidze, " Spectrally nonselective dichromated-gelatin holographic mirrors," Sov. Tech. Phys. Lett. 14, 268- 270 ( 1988).

Sh. D. Kakichashvili, Z. V. Wardosanidze, and D. V. Leselidze, " High effective holographic mirrors on dichromated-gelatin," Sov. Tech. Phys. Lett. 9, 473- 475 ( 1983).

Lisetski, L. N.

G. S. Chilaya, Z. M. Elashvili, S. P. Ivchenko, K. D. Vinokur, B. M. Bolotin, and L. N. Lisetski, " Chiral nematic mixtures with improved colour-contrast characteristics," Mol. Cryst. Liq. Cryst. 3(3-4), 97- 102 ( 1986).

May, M.

Mayerhofer, D.

D. Mayerhofer, " Phase holograms on the dichromated gelatin," RCA Rev. 33, 110- 130 ( 1971).

Messier, R.

A. Laktakia and R. Messier, Sculptured Thin Films: Nanoengineered Morphology and Optics,Proc. SPIE PM142 ( 2005).

Mumladze, A. N.

Petriashvili, G.

G. Chilaya, G. Petriashvili, A. Chanishvili, and D. Sikharulidze, " New pretransitional liquid crystal phase with anomalous selective reflection," Mol. Mater. 8, 245- 255 ( 1997).

G. Chilaya, A. Chanishvili, G. Petriashvili, and D. Sikharulidze, " Anomalous selective reflection at cholesteric-to-smectic A-phase transition," Mol. Cryst. Liq. Cryst. 261, 233- 239 ( 1995).
[CrossRef]

Pockels, F.

F. Pockels, Lehrbuch der Kristall Optik, (Teubner, 1906).

Semendiaev, K. A.

I. I. Bronshtein and K. A. Semendiaev, Mathematics Handbook (Nauka, 1964) (in Russian).

Shatalin, I. D.

I. D. Shatalin, " On the mechanisms of photoanisotropy in photochemical trans-cis isomerisation," Opt. Spektrosk. 66, 362- 364 ( 1989).

I. D. Shatalin and Sh. D. Kakichashvili, " Polarization hologramm with 100% diffractive efficiency (polarization cinoform)," Pis'ma Zh. Tekh . Fiz. 13, 1051- 1055 ( 1987).

Shaverdova, V. G.

A. Ia. Jeltov, B. I. Stepanov, and V. G. Shaverdova, " To investigation of photoanizotropy in the azo-dyes," Zh. Prikl. Spektrosk. 52, 280- 284 ( 1990).

Sh. D. Kakichashvili and V. G. Shaverdova, " Photoanisotropy in the yellow mordant azo-dyes," Zh. Nauchn. Prikl. Photogr. Cinematog 5, 242- 245 ( 1979).

Shurkliff, W. A.

W. A. Shurkliff, Polarized Light (Mir, 1965) (in Russian).

Sikharulidze, D.

G. Chilaya, G. Petriashvili, A. Chanishvili, and D. Sikharulidze, " New pretransitional liquid crystal phase with anomalous selective reflection," Mol. Mater. 8, 245- 255 ( 1997).

G. Chilaya, A. Chanishvili, G. Petriashvili, and D. Sikharulidze, " Anomalous selective reflection at cholesteric-to-smectic A-phase transition," Mol. Cryst. Liq. Cryst. 261, 233- 239 ( 1995).
[CrossRef]

Stepanov, B. I.

A. Ia. Jeltov, B. I. Stepanov, and V. G. Shaverdova, " To investigation of photoanizotropy in the azo-dyes," Zh. Prikl. Spektrosk. 52, 280- 284 ( 1990).

Vardosanidze, Z. V.

Z. V. Vardosanidze, " Zone plate of anisotropic profile," in International Colloquium on Diffractive Optical Elements, J. Nowak and M. Zayac, eds., Proc. SPIE 1574, 109- 120 ( 1991).
[CrossRef]

Vinokur, K. D.

G. S. Chilaya, Z. M. Elashvili, S. P. Ivchenko, K. D. Vinokur, B. M. Bolotin, and L. N. Lisetski, " Chiral nematic mixtures with improved colour-contrast characteristics," Mol. Cryst. Liq. Cryst. 3(3-4), 97- 102 ( 1986).

Wardosanidze, Z. V.

Z. V. Wardosanidze, " On one more possible mechanism of Weigert's effect in azo-dye-colored materials," Appl. Opt. 45, 438- 444 ( 2006).
[CrossRef] [PubMed]

Sh. D. Kakichashvili, Z. V. Wardosanidze, and D. V. Leselidze, " Spectrally nonselective dichromated-gelatin holographic mirrors," Sov. Tech. Phys. Lett. 14, 268- 270 ( 1988).

Sh. D. Kakichashvili and Z. V. Wardosanidze, " Reconstruction of polarization microstructure of natural light by means of polarization-holographic method," Pis'ma Zh. Texh. Fiz. 13, 1180- 1183 ( 1987).

Sh. D. Kakichashvili, Z. V. Wardosanidze, and D. V. Leselidze, " High effective holographic mirrors on dichromated-gelatin," Sov. Tech. Phys. Lett. 9, 473- 475 ( 1983).

Sh. D. Kakichashvili and Z. V. Wardosanidze, " Characteristic properties of the polarization-holography recording and reconstruction in the photoanisotropy medium Mordant Pure Yellow," in Handbook of Photoanisotropy and Photogirotropy Phenomena in Condensed Media and Polarization Holography, N.N.Gogiberidze, ed. (Mecniereba, 1987), pp. 79- 81 (in Russian).

Z. V. Wardosanidze, " Calculation of the interference pattern in the absorbing medium," in Proceedings of the Institute of Cybernetics (Georgian Academy of Sciences, 2002), Vol. 2, nos. 1-2, 201-204.

Weigert, F.

F. Weigert, " Uber Einen Neuen Effect der Strahling in Lichtempfindlichen Schichten," Verh. Dtsch. Phys. Ges. 21, 479- 483 ( 1919).

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Nauka, 1970) (in Russian).

Young, N. O.

Young., N.

N. Young. and J. Kowal, " Optically active fluorite films," Nature (London) 183, 104- 105 ( 1959).
[CrossRef]

Appl. Opt. (3)

J. Opt. Soc. Am. (4)

Kvant. Elektron. (1)

Sh. D. Kakichashvili, " Method of polarization recording of holograms," Kvant. Elektron. (Moscow) 1, 1435- 1441 ( 1974).

Mol. Cryst. Liq. Cryst. (2)

G. Chilaya, A. Chanishvili, G. Petriashvili, and D. Sikharulidze, " Anomalous selective reflection at cholesteric-to-smectic A-phase transition," Mol. Cryst. Liq. Cryst. 261, 233- 239 ( 1995).
[CrossRef]

G. S. Chilaya, Z. M. Elashvili, S. P. Ivchenko, K. D. Vinokur, B. M. Bolotin, and L. N. Lisetski, " Chiral nematic mixtures with improved colour-contrast characteristics," Mol. Cryst. Liq. Cryst. 3(3-4), 97- 102 ( 1986).

Mol. Mater. (1)

G. Chilaya, G. Petriashvili, A. Chanishvili, and D. Sikharulidze, " New pretransitional liquid crystal phase with anomalous selective reflection," Mol. Mater. 8, 245- 255 ( 1997).

Nature (1)

N. Young. and J. Kowal, " Optically active fluorite films," Nature (London) 183, 104- 105 ( 1959).
[CrossRef]

Opt. Spectrosk. (1)

Sh. D. Kakichashvili, " On the polarization recording of holograms," Opt. Spectrosk. 1, 324- 327 ( 1972).

Opt. Spektrosk. (1)

I. D. Shatalin, " On the mechanisms of photoanisotropy in photochemical trans-cis isomerisation," Opt. Spektrosk. 66, 362- 364 ( 1989).

Pis'ma Zh. Tekh (1)

I. D. Shatalin and Sh. D. Kakichashvili, " Polarization hologramm with 100% diffractive efficiency (polarization cinoform)," Pis'ma Zh. Tekh . Fiz. 13, 1051- 1055 ( 1987).

Pis'ma Zh. Texh. Fiz. (1)

Sh. D. Kakichashvili and Z. V. Wardosanidze, " Reconstruction of polarization microstructure of natural light by means of polarization-holographic method," Pis'ma Zh. Texh. Fiz. 13, 1180- 1183 ( 1987).

Proc. SPIE (2)

A. Laktakia and R. Messier, Sculptured Thin Films: Nanoengineered Morphology and Optics,Proc. SPIE PM142 ( 2005).

Z. V. Vardosanidze, " Zone plate of anisotropic profile," in International Colloquium on Diffractive Optical Elements, J. Nowak and M. Zayac, eds., Proc. SPIE 1574, 109- 120 ( 1991).
[CrossRef]

RCA Rev. (1)

D. Mayerhofer, " Phase holograms on the dichromated gelatin," RCA Rev. 33, 110- 130 ( 1971).

Sov. Tech. Phys. Lett. (2)

Sh. D. Kakichashvili, Z. V. Wardosanidze, and D. V. Leselidze, " Spectrally nonselective dichromated-gelatin holographic mirrors," Sov. Tech. Phys. Lett. 14, 268- 270 ( 1988).

Sh. D. Kakichashvili, Z. V. Wardosanidze, and D. V. Leselidze, " High effective holographic mirrors on dichromated-gelatin," Sov. Tech. Phys. Lett. 9, 473- 475 ( 1983).

Verh. Dtsch. Phys. Ges. (1)

F. Weigert, " Uber Einen Neuen Effect der Strahling in Lichtempfindlichen Schichten," Verh. Dtsch. Phys. Ges. 21, 479- 483 ( 1919).

Zh. Nauchn. Prikl. Photogr. Cinematog (1)

Sh. D. Kakichashvili and V. G. Shaverdova, " Photoanisotropy in the yellow mordant azo-dyes," Zh. Nauchn. Prikl. Photogr. Cinematog 5, 242- 245 ( 1979).

Zh. Prikl. Spektrosk. (1)

A. Ia. Jeltov, B. I. Stepanov, and V. G. Shaverdova, " To investigation of photoanizotropy in the azo-dyes," Zh. Prikl. Spektrosk. 52, 280- 284 ( 1990).

Other (11)

Sh. D. Kakichashvili and Z. V. Wardosanidze, " Characteristic properties of the polarization-holography recording and reconstruction in the photoanisotropy medium Mordant Pure Yellow," in Handbook of Photoanisotropy and Photogirotropy Phenomena in Condensed Media and Polarization Holography, N.N.Gogiberidze, ed. (Mecniereba, 1987), pp. 79- 81 (in Russian).

Z. V. Wardosanidze, " Calculation of the interference pattern in the absorbing medium," in Proceedings of the Institute of Cybernetics (Georgian Academy of Sciences, 2002), Vol. 2, nos. 1-2, 201-204.

Sh. D. Kakichashvili, Polarization Holography (Nauka, 1989) (in Russian).

F. Pockels, Lehrbuch der Kristall Optik, (Teubner, 1906).

S. Chandrasekhar, Liquid Crystals (Mir, 1980) (in Russian).

G. Chilaya, " Cholesteric liquid crystals: Optics, electro-optics, and photo-optics," in Handbook Chirality in Liquid Crystals, H.-S.Kitzerow and C.Bahr, eds. (Springer-Verlag, 2001), pp. 159- 185.
[CrossRef]

W. A. Shurkliff, Polarized Light (Mir, 1965) (in Russian).

I. I. Bronshtein and K. A. Semendiaev, Mathematics Handbook (Nauka, 1964) (in Russian).

M. Born and E. Wolf, Principles of Optics (Nauka, 1970) (in Russian).

R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (Mir, 1981) (in Russian).

Sh. D. Kakichashvili and R. T. Khelashvili, " Interferention measurement of anisotropy parameters of refraction," in Handbook of Photoanisotropy and Photogirotropy Phenomena in Condensed Media and Polarization Holography, N.N.Gogiberidze, ed. (Mecniereba, 1987), pp. 43- 46 (in Russian).

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Figures (4)

Fig. 1
Fig. 1

Scheme of the interference of counterpropagating beams with orthogonal circular polarization.

Fig. 2
Fig. 2

Picture of the standing vector wave of the summary interference field.

Fig. 3
Fig. 3

Scheme of the experimental equipment: 1, calcite prism; 2, diverging lens; 3, collecting lens; 4,4', total-reflection prisms; 5, photosensitive medium; 6, 1/4 phaseplate.

Fig. 4
Fig. 4

Dependence of the reflection (diffractive) efficiency of the obtained holographic chiral structure on the ellipticity of the sensing wave.

Equations (24)

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E + = E 0 ( 1 i ) exp ( i ϖ t k x + δ 1 ) ,
E = E 0 ( 1 i ) exp ( i ϖ t + k x + δ 2 ) ,
E = E + + E = exp i ϖ t [ E 0 ( 1 i ) exp i ( k x δ 1 ) + E 0 ( 1 i ) exp i ( k x + δ 2 ) ] .
E = E 0 [ cos ( k x δ 1 ) cos ω t i sin ( k x δ 1 ) cos ω t + cos ( k x + δ 2 ) cos ω t + i sin ( k x + δ 2 ) cos ω t i cos ( k x δ 1 ) cos ω t + sin ( k x δ 1 ) cos ω t i cos ( k x + δ 2 ) cos ω t + sin ( k x + δ 2 ) cos ω t
+ i cos ( k x δ 1 ) sin ω t + sin ( k x δ 1 ) sin ω t + i cos ( k x + δ 2 ) sin ω t sin ( k x + δ 2 ) sin ω t cos ( k x δ 1 ) sin ω t + i sin ( k x δ 1 ) sin ω t + cos ( k x + δ 2 ) sin ω t + i sin ( k x + δ 2 ) sin ω t ] .
E = Re ( E ) = p cos ω t + q sin ω t ,
p = ( p x p y ) = [ cos ( k x δ 1 ) + cos ( k x + δ 2 ) sin ( k x δ 1 ) + sin ( k x + δ 2 ) ] ;
q = ( q x q y ) = [ sin ( k x δ 1 ) sin ( k x + δ 2 ) cos ( k x δ 1 ) + cos ( k x + δ 2 ) ] .
E 1     2 , E 2     2 = E E * = 1 2 [ ( p x     2 + q x     2 ) + ( p y     2 + q y     2 ) ] ± 1 2 [ ( p x     2 + q x     2 ) + ( p y     2 + q y     2 ) ] 2 4 ( p x q y p y q x ) 2 ,
sin 2 ρ = 2 ( p x p y + q x q y ) [ ( p x     2 + q x     2 ) + ( p y     2 + q y     2 ) ] 2 4 ( p x q y p y q x ) 2 ,
cos 2 ρ = ( p x     2 + q x     2 ) ( p y     2 + q y     2 ) [ ( p x     2 + q x     2 ) + ( p y     2 + q y     2 ) ] 2 4 ( p x q y p y q x ) 2 ,
E 1     2 = 4 ; E 2     2 = 0 ; sin 2 ρ = sin [ 2 k x + ( δ 2 δ 1 ) ] ;
cos 2 ρ = cos [ 2 k x + ( δ 2 δ 1 ) ] .
E = 2 { sin [ 2 k x + ( δ 2 δ 1 ) ] cos [ 2 k x + ( δ 2 δ 1 ) ] } .
M = [ cos 2 ρ   exp ( i k d n 1 ) + sin 2 ρ   exp ( i k d n 2 ) sin ρ cos  ρ [ exp ( i k d n 1 ) exp ( i k d n 2 ) ] sin  ρ   cos  ρ [ exp ( i k d n ^ 1 ) exp ( i k d n 2 ) ] sin 2  ρ     exp ( i k d n 1 ) + cos 2 ρ   exp ( i k d n 2 ) ] ,
M =  exp  i k d 2 ( n 1 + n 2 ) [ 1 i k d 2 ( n 1  −  n 2 )  cos  2 ρ i k d 2 ( n 1  −  n ) sin  2 ρ i k d 2 ( n 1  −  n 2 )  sin  2 ρ 1 i k d 2 ( n 1  −  n 2 )  cos  2 ρ ] .
n 1 = n 0 + a E 1     2 , n 2 = n 0 + a E 2     2 ,
M exp ( i k d n 0 ) [ 1 2 i k d a cos [ 2 k x + ( δ 2 δ 1 ) ] 2 i k d a sin [ 2 k x + ( δ 2 δ 1 ) ] 2 i k d a sin [ 2 k x + ( δ 2 δ 1 ) ] 1 + 2 i k d a cos [ 2 k x + ( δ 2 δ ) ] ] .
M = M 0 + M d ,
M 0 = [ 1 0 0 1 ] exp ( i k d n 0 ) .
M d = 2 i k d a [ cos [ 2 k x + ( δ 2 δ 1 ) ] sin [ 2 k x + ( δ 2 δ 1 ) ] sin [ 2 k x + ( δ 1 δ 2 ) ] cos [ 2 k x + ( δ 2 δ 1 ) ] ] exp ( - i k d n 0 ) .
E = M 0 E + = E 0 exp ( i k d n 0 ) [ 1 0 0 1 ] ( 1 i ) exp i ( ω t k x + δ 1 ) = E 0 ( 1 i ) exp i [ ω t k x + ( δ 1 d n 0 ) ] ,
E d = M d E + = 2 i k d a E 0 exp ( i k d n 0 ) [ cos [ 2 k x + ( δ 2 δ 1 ) ] sin [ 2 k x + ( δ 2 δ 1 ) ] sin [ 2 k x + ( δ 2 δ 1 ) ] cos [ 2 k x + ( δ 2 δ 1 ) ] ] ( 1 i )
× exp  i ( ω t k x + δ 1 ) = 2 i k d a E 0 ( 1 i ) exp i [ ω t + k x + ( δ 2 k d n 0 ) ] .

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