Abstract

The optical properties of an isotropic optically active medium at oblique incidence have been investigated. It was found that the amount of transmitted light converted from p polarization to s polarization and vice versa, through an isotropic optically active medium, is independent of the state of incident polarization. Though the optical rotation through the optically active medium is same for p and s polarization at normal incidence, it becomes different at oblique incidences.

© 2001 Optical Society of America

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References

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  1. G. N. Ramachandran, S. Ramaseshan, Handbook der Physik (Springer-Verlag, Berlin, 1961), Vol. 25, Part 1.
  2. R. S. Longhurst, Geometrical and Physical Optics, 3rd ed. (Longman Scientific and Technical, London, 1981).
  3. A. Yariv, P. Yeh, Optical Waves in Crystals (Wiley, New York, 1983).
  4. J. Lekner, “Optical properties of isotropic chiral media,” Pure Appl. Opt. 5, 417–443 (1996).
    [CrossRef]
  5. D. F. Arago, “Sur une modification remarquable qu’éprouvent las rayons lumineux dans leur passage à travers certains corps diaphanes, et sur quelques autres nouveaux phénomènes d’optique,” Mem. Inst. 1, 93–134 (1811).
  6. J. B. Biot, “Phénomènes de polarisation successive, observés dans des fluides homogènes,” Bull. Soc. Philomath.190–192 (1815).
  7. S. Chandrasekhar, Liquid Crystals, 2nd ed. (Cambridge U. Press, Cambridge, UK, 1992).
  8. S. Bassiri, C. H. Papas, N. Engheta, “Electromagnetic wave propagation through a dielectric–chiral interface and through a chiral slab,” J. Opt. Soc. Am. A 5, 1450–1459 (1988).
    [CrossRef]
  9. M. P. Silverman, “Reflection and refraction at the surface of a chiral medium: comparison of gyrotropic constitutive relations invariant or nonvariant under the duality transformation,” J. Opt. Soc. Am. A 3, 830–837 (1986).
    [CrossRef]
  10. A. Fresnel, “Mémoire sur la double réfraction que les rayons lumineux éprouvent en traversant les aiguilles de cristal de roche suivant des directions parallèles à l’axe,” Oeuvres 1, 731–751 (1822).
  11. P. Drude, Theory of Optics (Longmans, Green, New York, 1922).
  12. D. W. Berreman, “Optics in stratified and isotropic media: 4×4 matrix formulation,” J. Opt. Soc. Am. 62, 502–510 (1972).
    [CrossRef]
  13. Yuvaraj Sah, K. A. Suresh, “Anomalous transmission at oblique incidence in absorbing cholesteric liquid crystals,” J. Opt. Soc. Am. A 11, 740–744 (1994).
    [CrossRef]
  14. The numerical computation reported here is performed using the Optical Toolbox in MATLAB environment and is being developed as a product of Mahindra British Telecom. Ltd., Sharda Center, S #9, CTS 11/B/1, Erandwane, Pune 411 004, India.

1996 (1)

J. Lekner, “Optical properties of isotropic chiral media,” Pure Appl. Opt. 5, 417–443 (1996).
[CrossRef]

1994 (1)

1988 (1)

1986 (1)

1972 (1)

1822 (1)

A. Fresnel, “Mémoire sur la double réfraction que les rayons lumineux éprouvent en traversant les aiguilles de cristal de roche suivant des directions parallèles à l’axe,” Oeuvres 1, 731–751 (1822).

1815 (1)

J. B. Biot, “Phénomènes de polarisation successive, observés dans des fluides homogènes,” Bull. Soc. Philomath.190–192 (1815).

1811 (1)

D. F. Arago, “Sur une modification remarquable qu’éprouvent las rayons lumineux dans leur passage à travers certains corps diaphanes, et sur quelques autres nouveaux phénomènes d’optique,” Mem. Inst. 1, 93–134 (1811).

Arago, D. F.

D. F. Arago, “Sur une modification remarquable qu’éprouvent las rayons lumineux dans leur passage à travers certains corps diaphanes, et sur quelques autres nouveaux phénomènes d’optique,” Mem. Inst. 1, 93–134 (1811).

Bassiri, S.

Berreman, D. W.

Biot, J. B.

J. B. Biot, “Phénomènes de polarisation successive, observés dans des fluides homogènes,” Bull. Soc. Philomath.190–192 (1815).

Chandrasekhar, S.

S. Chandrasekhar, Liquid Crystals, 2nd ed. (Cambridge U. Press, Cambridge, UK, 1992).

Drude, P.

P. Drude, Theory of Optics (Longmans, Green, New York, 1922).

Engheta, N.

Fresnel, A.

A. Fresnel, “Mémoire sur la double réfraction que les rayons lumineux éprouvent en traversant les aiguilles de cristal de roche suivant des directions parallèles à l’axe,” Oeuvres 1, 731–751 (1822).

Lekner, J.

J. Lekner, “Optical properties of isotropic chiral media,” Pure Appl. Opt. 5, 417–443 (1996).
[CrossRef]

Longhurst, R. S.

R. S. Longhurst, Geometrical and Physical Optics, 3rd ed. (Longman Scientific and Technical, London, 1981).

Papas, C. H.

Ramachandran, G. N.

G. N. Ramachandran, S. Ramaseshan, Handbook der Physik (Springer-Verlag, Berlin, 1961), Vol. 25, Part 1.

Ramaseshan, S.

G. N. Ramachandran, S. Ramaseshan, Handbook der Physik (Springer-Verlag, Berlin, 1961), Vol. 25, Part 1.

Sah, Yuvaraj

Silverman, M. P.

Suresh, K. A.

Yariv, A.

A. Yariv, P. Yeh, Optical Waves in Crystals (Wiley, New York, 1983).

Yeh, P.

A. Yariv, P. Yeh, Optical Waves in Crystals (Wiley, New York, 1983).

Bull. Soc. Philomath. (1)

J. B. Biot, “Phénomènes de polarisation successive, observés dans des fluides homogènes,” Bull. Soc. Philomath.190–192 (1815).

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (3)

Mem. Inst. (1)

D. F. Arago, “Sur une modification remarquable qu’éprouvent las rayons lumineux dans leur passage à travers certains corps diaphanes, et sur quelques autres nouveaux phénomènes d’optique,” Mem. Inst. 1, 93–134 (1811).

Oeuvres (1)

A. Fresnel, “Mémoire sur la double réfraction que les rayons lumineux éprouvent en traversant les aiguilles de cristal de roche suivant des directions parallèles à l’axe,” Oeuvres 1, 731–751 (1822).

Pure Appl. Opt. (1)

J. Lekner, “Optical properties of isotropic chiral media,” Pure Appl. Opt. 5, 417–443 (1996).
[CrossRef]

Other (6)

G. N. Ramachandran, S. Ramaseshan, Handbook der Physik (Springer-Verlag, Berlin, 1961), Vol. 25, Part 1.

R. S. Longhurst, Geometrical and Physical Optics, 3rd ed. (Longman Scientific and Technical, London, 1981).

A. Yariv, P. Yeh, Optical Waves in Crystals (Wiley, New York, 1983).

P. Drude, Theory of Optics (Longmans, Green, New York, 1922).

The numerical computation reported here is performed using the Optical Toolbox in MATLAB environment and is being developed as a product of Mahindra British Telecom. Ltd., Sharda Center, S #9, CTS 11/B/1, Erandwane, Pune 411 004, India.

S. Chandrasekhar, Liquid Crystals, 2nd ed. (Cambridge U. Press, Cambridge, UK, 1992).

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Figures (6)

Fig. 1
Fig. 1

Propagation of p-polarized beam of light, which acquires an s-polarized component on transmission through a slab of optically active material at oblique incidence.

Fig. 2
Fig. 2

(a) Transmitted intensity of p and s components for p-polarized light at normal incidence. (b) Computed rotation and ellipticity of the transmitted light at normal incidence as a function of the wavelength of the incident light.

Fig. 3
Fig. 3

(a) Computed transmission of p and components of the transmitted intensity for p-polarized incident light for 45° incidence angle. (b) Rotation and ellipticity of the transmitted light as a function of the wavelength of the incident light.

Fig. 4
Fig. 4

(a) Computed transmission of p and s components of the transmitted intensity for s-polarized incident light for 45° incidence angle. (b) Rotation and ellipticity of the transmitted light as a function of the wavelength of the incident light.  

Fig. 5
Fig. 5

(a) Computed transmission of p and s components of the transmitted intensity for p-polarized incident light. (b) Rotation and ellipticity of the transmitted light for λ=0.63 μm as a function of incidence angle.

Fig. 6
Fig. 6

(a) Computed transmission of p and s components of the transmitted intensity for s-polarized incident light. (b) Rotation and ellipticity of the transmitted light for λ=0.63 μm as a function of incidence angle.

Equations (4)

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ρ=π(nl-nr)/λ,
×E=-(1/c)H/t
×H=(ϵ/c)E/t+(γ/c)(×E)/t,
ϵρOI

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