Abstract

When the real parts of the permittivity and the permeability dyadics of a structurally chiral, magnetic-dielectric material are reversed in sign, the circular Bragg phenomenon displayed by the material is proved here to suffer a change which indicates that the structural handedness has been, in effect, reversed. Additionally, reflection and transmission coefficients suffer phase reversal.

© 2002 Optical Society of America

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  1. N. Kato, �??The signi.cance of Ewald�??s dynamical theory of diffraction,�?? in P.P. Ewald and His Dynamical Theory of X-ray Diffraction (D. W. J. Cruickshank, H. J. Juretschke and N. Kato, eds) (Oxford University Press, Oxford, UK, 1992), pp. 3-23.
  2. H. A. Macleod, Thin-Film Optical Filters (Institute of Physics, Bristol, UK, 2001), pp. 185-208.
  3. I. J. Hodgkinson and Q. h. Wu, Birefringent Thin Films and Polarizing Elements (World Scientific, Singapore, 1997), pp. 302-322.
  4. S. D. Jacobs (ed), Selected Papers on Liquid Crystals for Optics (SPIEO ptical Engineering Press, Bellingham, WA, USA, 1992).
  5. V. C. Venugopal and A. Lakhtakia, �??Sculptured thin films: Conception, optical properties, and applications,�?? in Electromagnetic Fields in Unconventional Materials and Structures (O. N. Singh and A. Lakhtakia, eds) (Wiley, New York, NY, USA, 2000), pp. 151-216.
  6. J. Wang, A. Lakhtakia and J. B. Geddes III, �??Multiple Bragg regimes exhibited by a chiral sculptured thin film half-space on axial excitation,�?? Optik 113, 213-222 (2002).
  7. A. Lakhtakia, �??Sculptured thin films: accomplishments and emerging uses,�?? Mater. Sci. Eng. C 19, 427-434 (2002).
  8. J. B. Geddes III and A. Lakhtakia, �??Reflection and transmission of optical narrow-extent pulses by axially excited chiral sculptured thin films,�?? Eur. Phys. J. Appl. Phys. 13, 3-14 (2001); corrections: 16, 247 (2001).
    [CrossRef]
  9. <a href="http://www.esm.psu.edu/HTMLs/Faculty/Lakhtakia/TimeBragg/TD Bragg.html">http://www.esm.psu.edu/HTMLs/Faculty/Lakhtakia/TimeBragg/TD Bragg.html</a>
  10. H. Takezoe, K. Hashimoto, Y. Ouchi, M. Hara, A. Fukuda and E. Kuze, �??Experimental study on higher order re.ection by monodomain cholesteric liquid crystals,�?? Mol. Cryst. Liq. Cryst. 101, 329-340 (1983)
  11. V. C. Venugopal and A. Lakhtakia, �??Electromagnetic plane-wave response characteristics of nonaxially excited slabs of dielectric thin-film helicoidal bianisotropic mediums,�?? Proc. R. Soc. Lond. A 456, 125-161 (2000).
  12. A. Lakhtakia and W. S. Weiglhofer, �??Further results on light propagation in helicoidal bianisotropic mediums: oblique propagation,�?? Proc. R. Soc. Lond. A 453, 93-105 (1997); corrections: 454, 3275 (1998).
  13. F. Brochard and P.G. de Gennes, �??Theory of magnetic suspensions in liquid crystals,�?? J. Phys. (Paris) 31, 691-708 (1970).
  14. A. Lakhtakia, �??Reversal of circular Bragg phenomenon in ferrocholesteric materials with negative real permittivities and permeabilities,�?? Adv. Mater. 14, 447-449 (2002).
    [CrossRef]
  15. V. Ponsinet, P. Fabre, M. Veyssie and L. Auvray, �??A small-angle neutron-scattering study of the ferrosmectic phase,�?? J. Phys. II (Paris) 3, 1021-1039 (1993).
    [CrossRef]
  16. J. Pendry, �??Electromagnetic materials enter the negative age,�?? Phys. World 14 (9), 47-51 (2001), September issue.
  17. A. Lakhtakia, M. W. McCall and W. S. Weiglhofer, �??Brief overview of recent developments on negative phase-velocity mediums (alias left-handed materials),�?? Arch. Elektr. Uber. 56, 407- 410 (2002).
  18. M. Schubert and C. M. Herzinger, �??Ellipsometry on anisotropic materials: Bragg conditions and phonons in dielectric helical thin films,�?? Phys. Stat. Sol. (a) 188, 1563-1575 (2001).
    [CrossRef]
  19. F. de Fornel, Evanescent Waves (Springer, Berlin, Germany, 2001), pp. 12-18.
  20. H. Kogelnik, �??Coupled wave theory for thick hologram gratings,�?? Bell Syst. Tech. J. 48, 2909-2947 (1969).
  21. S. F. Nagle, A. Lakhtakia and W. Thompson, Jr., �??Modal structures for axial wave propagation in a continuously twisted structurally chiral medium (CTSCM),�?? J. Acoust. Soc. Am. 97, 42-50 (1995).
    [CrossRef]
  22. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, NY, USA, 1953), Sec. 4.3.
  23. A. Lakhtakia, �??On planewave remittances and Goos-Hanchen shifts of planar slabs with negative real permittivity and permeability,�?? Electromagnetics 23, 71-75 (2003).
    [CrossRef]

Adv. Mater. (1)

A. Lakhtakia, �??Reversal of circular Bragg phenomenon in ferrocholesteric materials with negative real permittivities and permeabilities,�?? Adv. Mater. 14, 447-449 (2002).
[CrossRef]

Arch. Elektr. Uber. (1)

A. Lakhtakia, M. W. McCall and W. S. Weiglhofer, �??Brief overview of recent developments on negative phase-velocity mediums (alias left-handed materials),�?? Arch. Elektr. Uber. 56, 407- 410 (2002).

Bell Syst. Tech. J. (1)

H. Kogelnik, �??Coupled wave theory for thick hologram gratings,�?? Bell Syst. Tech. J. 48, 2909-2947 (1969).

Electromagnetics (1)

A. Lakhtakia, �??On planewave remittances and Goos-Hanchen shifts of planar slabs with negative real permittivity and permeability,�?? Electromagnetics 23, 71-75 (2003).
[CrossRef]

Eur. Phys. J. Appl. Phys. (1)

J. B. Geddes III and A. Lakhtakia, �??Reflection and transmission of optical narrow-extent pulses by axially excited chiral sculptured thin films,�?? Eur. Phys. J. Appl. Phys. 13, 3-14 (2001); corrections: 16, 247 (2001).
[CrossRef]

J. Acoust. Soc. Am. (1)

S. F. Nagle, A. Lakhtakia and W. Thompson, Jr., �??Modal structures for axial wave propagation in a continuously twisted structurally chiral medium (CTSCM),�?? J. Acoust. Soc. Am. 97, 42-50 (1995).
[CrossRef]

J. Phys. (1)

F. Brochard and P.G. de Gennes, �??Theory of magnetic suspensions in liquid crystals,�?? J. Phys. (Paris) 31, 691-708 (1970).

J. Phys. II (1)

V. Ponsinet, P. Fabre, M. Veyssie and L. Auvray, �??A small-angle neutron-scattering study of the ferrosmectic phase,�?? J. Phys. II (Paris) 3, 1021-1039 (1993).
[CrossRef]

Mater. Sci. Eng. (1)

A. Lakhtakia, �??Sculptured thin films: accomplishments and emerging uses,�?? Mater. Sci. Eng. C 19, 427-434 (2002).

Mol. Cryst. Liq. Cryst. (1)

H. Takezoe, K. Hashimoto, Y. Ouchi, M. Hara, A. Fukuda and E. Kuze, �??Experimental study on higher order re.ection by monodomain cholesteric liquid crystals,�?? Mol. Cryst. Liq. Cryst. 101, 329-340 (1983)

Optik (1)

J. Wang, A. Lakhtakia and J. B. Geddes III, �??Multiple Bragg regimes exhibited by a chiral sculptured thin film half-space on axial excitation,�?? Optik 113, 213-222 (2002).

Phys. Stat. Sol. (1)

M. Schubert and C. M. Herzinger, �??Ellipsometry on anisotropic materials: Bragg conditions and phonons in dielectric helical thin films,�?? Phys. Stat. Sol. (a) 188, 1563-1575 (2001).
[CrossRef]

Phys. World (1)

J. Pendry, �??Electromagnetic materials enter the negative age,�?? Phys. World 14 (9), 47-51 (2001), September issue.

Proc. R. Soc. Lond. A (2)

V. C. Venugopal and A. Lakhtakia, �??Electromagnetic plane-wave response characteristics of nonaxially excited slabs of dielectric thin-film helicoidal bianisotropic mediums,�?? Proc. R. Soc. Lond. A 456, 125-161 (2000).

A. Lakhtakia and W. S. Weiglhofer, �??Further results on light propagation in helicoidal bianisotropic mediums: oblique propagation,�?? Proc. R. Soc. Lond. A 453, 93-105 (1997); corrections: 454, 3275 (1998).

Other (8)

F. de Fornel, Evanescent Waves (Springer, Berlin, Germany, 2001), pp. 12-18.

P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, NY, USA, 1953), Sec. 4.3.

<a href="http://www.esm.psu.edu/HTMLs/Faculty/Lakhtakia/TimeBragg/TD Bragg.html">http://www.esm.psu.edu/HTMLs/Faculty/Lakhtakia/TimeBragg/TD Bragg.html</a>

N. Kato, �??The signi.cance of Ewald�??s dynamical theory of diffraction,�?? in P.P. Ewald and His Dynamical Theory of X-ray Diffraction (D. W. J. Cruickshank, H. J. Juretschke and N. Kato, eds) (Oxford University Press, Oxford, UK, 1992), pp. 3-23.

H. A. Macleod, Thin-Film Optical Filters (Institute of Physics, Bristol, UK, 2001), pp. 185-208.

I. J. Hodgkinson and Q. h. Wu, Birefringent Thin Films and Polarizing Elements (World Scientific, Singapore, 1997), pp. 302-322.

S. D. Jacobs (ed), Selected Papers on Liquid Crystals for Optics (SPIEO ptical Engineering Press, Bellingham, WA, USA, 1992).

V. C. Venugopal and A. Lakhtakia, �??Sculptured thin films: Conception, optical properties, and applications,�?? in Electromagnetic Fields in Unconventional Materials and Structures (O. N. Singh and A. Lakhtakia, eds) (Wiley, New York, NY, USA, 2000), pp. 151-216.

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