Abstract

In this letter, we investigate the circular differential deflection of a light beam refracted at the interface of an optically active medium. We show that the difference between the angles of deviation of the two circularly polarized components of the transmitted beam is enhanced manyfold near total internal reflection, which suggests a simple way of increasing the limit of detection of chiro-optical measurements.

© 2012 Optical Society of America

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References

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  1. L. D. Barron, Molecular Light Scattering and Optical Activity, 2nd ed. (Cambridge University, 1982).
  2. A. Ghosh and P. Fischer, Phys. Rev. Lett. 97, 173002 (2006).
    [CrossRef]
  3. A. Ghosh, F. M. Fazal, and P. Fischer, Opt. Lett. 32, 1836 (2007).
    [CrossRef]
  4. O. Hosten and P. Kwiat, Science 319 (2008).
    [CrossRef]
  5. P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howel, Phys. Rev. Lett. 102, 173601 (2009).
    [CrossRef]
  6. Y. Aharonov, D. Z. Albert, and L. Vaidman, Phys. Rev. Lett. 60, 1351 (1988).
    [CrossRef]
  7. M. Pfeifer and P. Fischer, Opt. Express 19, 16508 (2011).
    [CrossRef]
  8. A. Ghosh, W. Hill, and P. Fischer, Phys. Rev. A 76, 055402 (2007).
    [CrossRef]
  9. M. P. Silverman, J. Opt. Soc. Am. A 4, 1145 (1987).
    [CrossRef]
  10. E. Bahar, J. Opt. Soc. Am. B 25, 1294 (2008).

2011

2009

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howel, Phys. Rev. Lett. 102, 173601 (2009).
[CrossRef]

2008

O. Hosten and P. Kwiat, Science 319 (2008).
[CrossRef]

E. Bahar, J. Opt. Soc. Am. B 25, 1294 (2008).

2007

A. Ghosh, W. Hill, and P. Fischer, Phys. Rev. A 76, 055402 (2007).
[CrossRef]

A. Ghosh, F. M. Fazal, and P. Fischer, Opt. Lett. 32, 1836 (2007).
[CrossRef]

2006

A. Ghosh and P. Fischer, Phys. Rev. Lett. 97, 173002 (2006).
[CrossRef]

1988

Y. Aharonov, D. Z. Albert, and L. Vaidman, Phys. Rev. Lett. 60, 1351 (1988).
[CrossRef]

1987

Aharonov, Y.

Y. Aharonov, D. Z. Albert, and L. Vaidman, Phys. Rev. Lett. 60, 1351 (1988).
[CrossRef]

Albert, D. Z.

Y. Aharonov, D. Z. Albert, and L. Vaidman, Phys. Rev. Lett. 60, 1351 (1988).
[CrossRef]

Bahar, E.

Barron, L. D.

L. D. Barron, Molecular Light Scattering and Optical Activity, 2nd ed. (Cambridge University, 1982).

Dixon, P. B.

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howel, Phys. Rev. Lett. 102, 173601 (2009).
[CrossRef]

Fazal, F. M.

Fischer, P.

M. Pfeifer and P. Fischer, Opt. Express 19, 16508 (2011).
[CrossRef]

A. Ghosh, F. M. Fazal, and P. Fischer, Opt. Lett. 32, 1836 (2007).
[CrossRef]

A. Ghosh, W. Hill, and P. Fischer, Phys. Rev. A 76, 055402 (2007).
[CrossRef]

A. Ghosh and P. Fischer, Phys. Rev. Lett. 97, 173002 (2006).
[CrossRef]

Ghosh, A.

A. Ghosh, F. M. Fazal, and P. Fischer, Opt. Lett. 32, 1836 (2007).
[CrossRef]

A. Ghosh, W. Hill, and P. Fischer, Phys. Rev. A 76, 055402 (2007).
[CrossRef]

A. Ghosh and P. Fischer, Phys. Rev. Lett. 97, 173002 (2006).
[CrossRef]

Hill, W.

A. Ghosh, W. Hill, and P. Fischer, Phys. Rev. A 76, 055402 (2007).
[CrossRef]

Hosten, O.

O. Hosten and P. Kwiat, Science 319 (2008).
[CrossRef]

Howel, J. C.

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howel, Phys. Rev. Lett. 102, 173601 (2009).
[CrossRef]

Jordan, A. N.

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howel, Phys. Rev. Lett. 102, 173601 (2009).
[CrossRef]

Kwiat, P.

O. Hosten and P. Kwiat, Science 319 (2008).
[CrossRef]

Pfeifer, M.

Silverman, M. P.

Starling, D. J.

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howel, Phys. Rev. Lett. 102, 173601 (2009).
[CrossRef]

Vaidman, L.

Y. Aharonov, D. Z. Albert, and L. Vaidman, Phys. Rev. Lett. 60, 1351 (1988).
[CrossRef]

J. Opt. Soc. Am. A

J. Opt. Soc. Am. B

Opt. Express

Opt. Lett.

Phys. Rev. A

A. Ghosh, W. Hill, and P. Fischer, Phys. Rev. A 76, 055402 (2007).
[CrossRef]

Phys. Rev. Lett.

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howel, Phys. Rev. Lett. 102, 173601 (2009).
[CrossRef]

Y. Aharonov, D. Z. Albert, and L. Vaidman, Phys. Rev. Lett. 60, 1351 (1988).
[CrossRef]

A. Ghosh and P. Fischer, Phys. Rev. Lett. 97, 173002 (2006).
[CrossRef]

Science

O. Hosten and P. Kwiat, Science 319 (2008).
[CrossRef]

Other

L. D. Barron, Molecular Light Scattering and Optical Activity, 2nd ed. (Cambridge University, 1982).

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Figures (3)

Fig. 1.
Fig. 1.

Deviation of a light beam as it passes through a prism (30°–60°–90°) made of a material with appreciable Verdet constant. The applied magnetic field, B, is parallel to the direction of the incident light beam, and the prism can be rotated to change the effective angle of incidence. The two CP components of the incident light beam take different paths inside the prism and emerge with a net difference δ between the angles of deflection. The angles of refraction at the two interfaces are denoted by αL, αR and rL, rR, respectively, for left and right circularly polarized components of light.

Fig. 2.
Fig. 2.

Schematic of the experimental setup. The angle of incidence is varied by rotating the SF11 prism, which is mounted on a rotation stage.

Fig. 3.
Fig. 3.

Enhancement of the circular differential beam deflection as a function of angle of incidence. The beam suffers total internal reflection at the second interface when the angle of incidence, i, at the first interface is approximately 7.4°. The enhancement is defined relative to the deflection of the beam at normal incidence. (Inset) Expanded view near the critical angle for total internal reflection.

Equations (4)

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

nLCPnRCP=VBλπ,
sin(α)=sin(αL+αR2)=sin(i)n0.
Beff=Bcos(αi),
nLCPnRCPVBeffλπ,

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