Abstract

We have observed that a light beam that passed through an optically active crystal of Bi12SiO20 and that was then reflected exactly back through it did not recover its initial polarization orientation. The nonreciprocal component of the rotation was of the order of 2 × 10−3 of the reciprocal, single-pass rotation. This nonreciprocity is unambiguous evidence of broken reversality of the light–matter interaction process.

© 1996 Optical Society of America

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  1. Yu. P. Svirko, N. I. Zheludev, Faraday Discuss. Chem. Soc. 99, 359 (1994).
    [CrossRef]
  2. A. R. Bungay, S. V. Popov, Yu. P. Svirko, N. I. Zheludev, Chem. Phys. Lett. 217, 249 (1994); N. I. Zheludev, S. V. Popov, Yu. P. Svirko, A. Malinowski, D. Yu. Paraschuk, Phys. Rev. B 50, 11508 (1994).
    [CrossRef]
  3. B. B. Krichevstov, V. V. Pavlov, R. V. Pisarev, V. N. Gridnev, J. Phys. Condens. Matter 5, 8233 (1993).
    [CrossRef]
  4. I. Dzyaloshinskii, E. V. Papamichail, Phys. Rev. Lett. 75, 3004 (1995).
    [CrossRef] [PubMed]
  5. Yu. P. Svirko, N. I. Zheludev, Opt. Lett. 20, 1809 (1995).
  6. L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, Oxford, 1984), pp. 362–365; a detailed justification of antisymmetry of the nonlocality tensor associated with a microscopically reversible interaction can be found in A. R. Bungay, Yu. P. Svirko, N. I. Zheludev, Phys. Rev. B 47, 16141 (1993).
    [CrossRef]
  7. J. J. Sakurai, Modern Quantum Mechanics (Addison- Wesley, Reading, Mass., 1994), pp. 255–256.
  8. A. Malinovski, Yu. P. Svirko, N. I. Zheludev, J. Opt. Soc. Am. B 13, 1641 (1996).
    [CrossRef]
  9. R. R. Birss, R. G. Shrubsall, Philos. Mag. 15, 687 (1967).
    [CrossRef]
  10. R. M. Hornreich, J. Appl. Phys. 39, 432 (1968).
    [CrossRef]
  11. R. M. Hornreich, S. Shtrikman, Phys. Rev. 171, 1065 (1968).
    [CrossRef]
  12. G. A. Smolenskii, R. V. Pisarev, I. G. Siniĩ, Sov. Phys. Usp. 18, 410 (1976).
    [CrossRef]
  13. V. A. Kizel, B. I. Burkov, Gyrotropy of Crystals (Nauka, Moscow, 1980), pp. 19–22.
  14. L. D. Barron, Molecular Light Scattering and Optical Activity (Cambridge U. Press, London, 1982), pp. 127–128.
  15. A. Feldman, W. S. Brower, D. Horowitz, Appl. Phys. Lett. 16, 201 (1970).
    [CrossRef]
  16. V. A. Kizel, V. I. Burkov, Yu. I. Krasilov, N. L. Kozlova, G. M. Safronov, V. N. Batog, Opt. Spectrosc. (USSR) 34, 677 (1973).
  17. A. R. Bungay, Yu. P. Svirko, N. I. Zheludev, Phys. Rev. Lett. 70, 3039 (1993).
    [CrossRef] [PubMed]

1996 (1)

1995 (2)

I. Dzyaloshinskii, E. V. Papamichail, Phys. Rev. Lett. 75, 3004 (1995).
[CrossRef] [PubMed]

Yu. P. Svirko, N. I. Zheludev, Opt. Lett. 20, 1809 (1995).

1994 (2)

Yu. P. Svirko, N. I. Zheludev, Faraday Discuss. Chem. Soc. 99, 359 (1994).
[CrossRef]

A. R. Bungay, S. V. Popov, Yu. P. Svirko, N. I. Zheludev, Chem. Phys. Lett. 217, 249 (1994); N. I. Zheludev, S. V. Popov, Yu. P. Svirko, A. Malinowski, D. Yu. Paraschuk, Phys. Rev. B 50, 11508 (1994).
[CrossRef]

1993 (2)

B. B. Krichevstov, V. V. Pavlov, R. V. Pisarev, V. N. Gridnev, J. Phys. Condens. Matter 5, 8233 (1993).
[CrossRef]

A. R. Bungay, Yu. P. Svirko, N. I. Zheludev, Phys. Rev. Lett. 70, 3039 (1993).
[CrossRef] [PubMed]

1976 (1)

G. A. Smolenskii, R. V. Pisarev, I. G. Siniĩ, Sov. Phys. Usp. 18, 410 (1976).
[CrossRef]

1973 (1)

V. A. Kizel, V. I. Burkov, Yu. I. Krasilov, N. L. Kozlova, G. M. Safronov, V. N. Batog, Opt. Spectrosc. (USSR) 34, 677 (1973).

1970 (1)

A. Feldman, W. S. Brower, D. Horowitz, Appl. Phys. Lett. 16, 201 (1970).
[CrossRef]

1968 (2)

R. M. Hornreich, J. Appl. Phys. 39, 432 (1968).
[CrossRef]

R. M. Hornreich, S. Shtrikman, Phys. Rev. 171, 1065 (1968).
[CrossRef]

1967 (1)

R. R. Birss, R. G. Shrubsall, Philos. Mag. 15, 687 (1967).
[CrossRef]

Barron, L. D.

L. D. Barron, Molecular Light Scattering and Optical Activity (Cambridge U. Press, London, 1982), pp. 127–128.

Batog, V. N.

V. A. Kizel, V. I. Burkov, Yu. I. Krasilov, N. L. Kozlova, G. M. Safronov, V. N. Batog, Opt. Spectrosc. (USSR) 34, 677 (1973).

Birss, R. R.

R. R. Birss, R. G. Shrubsall, Philos. Mag. 15, 687 (1967).
[CrossRef]

Brower, W. S.

A. Feldman, W. S. Brower, D. Horowitz, Appl. Phys. Lett. 16, 201 (1970).
[CrossRef]

Bungay, A. R.

A. R. Bungay, S. V. Popov, Yu. P. Svirko, N. I. Zheludev, Chem. Phys. Lett. 217, 249 (1994); N. I. Zheludev, S. V. Popov, Yu. P. Svirko, A. Malinowski, D. Yu. Paraschuk, Phys. Rev. B 50, 11508 (1994).
[CrossRef]

A. R. Bungay, Yu. P. Svirko, N. I. Zheludev, Phys. Rev. Lett. 70, 3039 (1993).
[CrossRef] [PubMed]

Burkov, B. I.

V. A. Kizel, B. I. Burkov, Gyrotropy of Crystals (Nauka, Moscow, 1980), pp. 19–22.

Burkov, V. I.

V. A. Kizel, V. I. Burkov, Yu. I. Krasilov, N. L. Kozlova, G. M. Safronov, V. N. Batog, Opt. Spectrosc. (USSR) 34, 677 (1973).

Dzyaloshinskii, I.

I. Dzyaloshinskii, E. V. Papamichail, Phys. Rev. Lett. 75, 3004 (1995).
[CrossRef] [PubMed]

Feldman, A.

A. Feldman, W. S. Brower, D. Horowitz, Appl. Phys. Lett. 16, 201 (1970).
[CrossRef]

Gridnev, V. N.

B. B. Krichevstov, V. V. Pavlov, R. V. Pisarev, V. N. Gridnev, J. Phys. Condens. Matter 5, 8233 (1993).
[CrossRef]

Hornreich, R. M.

R. M. Hornreich, J. Appl. Phys. 39, 432 (1968).
[CrossRef]

R. M. Hornreich, S. Shtrikman, Phys. Rev. 171, 1065 (1968).
[CrossRef]

Horowitz, D.

A. Feldman, W. S. Brower, D. Horowitz, Appl. Phys. Lett. 16, 201 (1970).
[CrossRef]

Kizel, V. A.

V. A. Kizel, V. I. Burkov, Yu. I. Krasilov, N. L. Kozlova, G. M. Safronov, V. N. Batog, Opt. Spectrosc. (USSR) 34, 677 (1973).

V. A. Kizel, B. I. Burkov, Gyrotropy of Crystals (Nauka, Moscow, 1980), pp. 19–22.

Kozlova, N. L.

V. A. Kizel, V. I. Burkov, Yu. I. Krasilov, N. L. Kozlova, G. M. Safronov, V. N. Batog, Opt. Spectrosc. (USSR) 34, 677 (1973).

Krasilov, Yu. I.

V. A. Kizel, V. I. Burkov, Yu. I. Krasilov, N. L. Kozlova, G. M. Safronov, V. N. Batog, Opt. Spectrosc. (USSR) 34, 677 (1973).

Krichevstov, B. B.

B. B. Krichevstov, V. V. Pavlov, R. V. Pisarev, V. N. Gridnev, J. Phys. Condens. Matter 5, 8233 (1993).
[CrossRef]

Landau, L. D.

L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, Oxford, 1984), pp. 362–365; a detailed justification of antisymmetry of the nonlocality tensor associated with a microscopically reversible interaction can be found in A. R. Bungay, Yu. P. Svirko, N. I. Zheludev, Phys. Rev. B 47, 16141 (1993).
[CrossRef]

Lifshitz, E. M.

L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, Oxford, 1984), pp. 362–365; a detailed justification of antisymmetry of the nonlocality tensor associated with a microscopically reversible interaction can be found in A. R. Bungay, Yu. P. Svirko, N. I. Zheludev, Phys. Rev. B 47, 16141 (1993).
[CrossRef]

Malinovski, A.

Papamichail, E. V.

I. Dzyaloshinskii, E. V. Papamichail, Phys. Rev. Lett. 75, 3004 (1995).
[CrossRef] [PubMed]

Pavlov, V. V.

B. B. Krichevstov, V. V. Pavlov, R. V. Pisarev, V. N. Gridnev, J. Phys. Condens. Matter 5, 8233 (1993).
[CrossRef]

Pisarev, R. V.

B. B. Krichevstov, V. V. Pavlov, R. V. Pisarev, V. N. Gridnev, J. Phys. Condens. Matter 5, 8233 (1993).
[CrossRef]

G. A. Smolenskii, R. V. Pisarev, I. G. Siniĩ, Sov. Phys. Usp. 18, 410 (1976).
[CrossRef]

Popov, S. V.

A. R. Bungay, S. V. Popov, Yu. P. Svirko, N. I. Zheludev, Chem. Phys. Lett. 217, 249 (1994); N. I. Zheludev, S. V. Popov, Yu. P. Svirko, A. Malinowski, D. Yu. Paraschuk, Phys. Rev. B 50, 11508 (1994).
[CrossRef]

Safronov, G. M.

V. A. Kizel, V. I. Burkov, Yu. I. Krasilov, N. L. Kozlova, G. M. Safronov, V. N. Batog, Opt. Spectrosc. (USSR) 34, 677 (1973).

Sakurai, J. J.

J. J. Sakurai, Modern Quantum Mechanics (Addison- Wesley, Reading, Mass., 1994), pp. 255–256.

Shrubsall, R. G.

R. R. Birss, R. G. Shrubsall, Philos. Mag. 15, 687 (1967).
[CrossRef]

Shtrikman, S.

R. M. Hornreich, S. Shtrikman, Phys. Rev. 171, 1065 (1968).
[CrossRef]

Sinii, I. G.

G. A. Smolenskii, R. V. Pisarev, I. G. Siniĩ, Sov. Phys. Usp. 18, 410 (1976).
[CrossRef]

Smolenskii, G. A.

G. A. Smolenskii, R. V. Pisarev, I. G. Siniĩ, Sov. Phys. Usp. 18, 410 (1976).
[CrossRef]

Svirko, Yu. P.

A. Malinovski, Yu. P. Svirko, N. I. Zheludev, J. Opt. Soc. Am. B 13, 1641 (1996).
[CrossRef]

Yu. P. Svirko, N. I. Zheludev, Opt. Lett. 20, 1809 (1995).

A. R. Bungay, S. V. Popov, Yu. P. Svirko, N. I. Zheludev, Chem. Phys. Lett. 217, 249 (1994); N. I. Zheludev, S. V. Popov, Yu. P. Svirko, A. Malinowski, D. Yu. Paraschuk, Phys. Rev. B 50, 11508 (1994).
[CrossRef]

Yu. P. Svirko, N. I. Zheludev, Faraday Discuss. Chem. Soc. 99, 359 (1994).
[CrossRef]

A. R. Bungay, Yu. P. Svirko, N. I. Zheludev, Phys. Rev. Lett. 70, 3039 (1993).
[CrossRef] [PubMed]

Zheludev, N. I.

A. Malinovski, Yu. P. Svirko, N. I. Zheludev, J. Opt. Soc. Am. B 13, 1641 (1996).
[CrossRef]

Yu. P. Svirko, N. I. Zheludev, Opt. Lett. 20, 1809 (1995).

Yu. P. Svirko, N. I. Zheludev, Faraday Discuss. Chem. Soc. 99, 359 (1994).
[CrossRef]

A. R. Bungay, S. V. Popov, Yu. P. Svirko, N. I. Zheludev, Chem. Phys. Lett. 217, 249 (1994); N. I. Zheludev, S. V. Popov, Yu. P. Svirko, A. Malinowski, D. Yu. Paraschuk, Phys. Rev. B 50, 11508 (1994).
[CrossRef]

A. R. Bungay, Yu. P. Svirko, N. I. Zheludev, Phys. Rev. Lett. 70, 3039 (1993).
[CrossRef] [PubMed]

Appl. Phys. Lett. (1)

A. Feldman, W. S. Brower, D. Horowitz, Appl. Phys. Lett. 16, 201 (1970).
[CrossRef]

Chem. Phys. Lett. (1)

A. R. Bungay, S. V. Popov, Yu. P. Svirko, N. I. Zheludev, Chem. Phys. Lett. 217, 249 (1994); N. I. Zheludev, S. V. Popov, Yu. P. Svirko, A. Malinowski, D. Yu. Paraschuk, Phys. Rev. B 50, 11508 (1994).
[CrossRef]

Faraday Discuss. Chem. Soc. (1)

Yu. P. Svirko, N. I. Zheludev, Faraday Discuss. Chem. Soc. 99, 359 (1994).
[CrossRef]

J. Appl. Phys. (1)

R. M. Hornreich, J. Appl. Phys. 39, 432 (1968).
[CrossRef]

J. Opt. Soc. Am. B (1)

J. Phys. Condens. Matter (1)

B. B. Krichevstov, V. V. Pavlov, R. V. Pisarev, V. N. Gridnev, J. Phys. Condens. Matter 5, 8233 (1993).
[CrossRef]

Opt. Lett. (1)

Opt. Spectrosc. (1)

V. A. Kizel, V. I. Burkov, Yu. I. Krasilov, N. L. Kozlova, G. M. Safronov, V. N. Batog, Opt. Spectrosc. (USSR) 34, 677 (1973).

Philos. Mag. (1)

R. R. Birss, R. G. Shrubsall, Philos. Mag. 15, 687 (1967).
[CrossRef]

Phys. Rev. (1)

R. M. Hornreich, S. Shtrikman, Phys. Rev. 171, 1065 (1968).
[CrossRef]

Phys. Rev. Lett. (2)

I. Dzyaloshinskii, E. V. Papamichail, Phys. Rev. Lett. 75, 3004 (1995).
[CrossRef] [PubMed]

A. R. Bungay, Yu. P. Svirko, N. I. Zheludev, Phys. Rev. Lett. 70, 3039 (1993).
[CrossRef] [PubMed]

Sov. Phys. Usp. (1)

G. A. Smolenskii, R. V. Pisarev, I. G. Siniĩ, Sov. Phys. Usp. 18, 410 (1976).
[CrossRef]

Other (4)

V. A. Kizel, B. I. Burkov, Gyrotropy of Crystals (Nauka, Moscow, 1980), pp. 19–22.

L. D. Barron, Molecular Light Scattering and Optical Activity (Cambridge U. Press, London, 1982), pp. 127–128.

L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, Oxford, 1984), pp. 362–365; a detailed justification of antisymmetry of the nonlocality tensor associated with a microscopically reversible interaction can be found in A. R. Bungay, Yu. P. Svirko, N. I. Zheludev, Phys. Rev. B 47, 16141 (1993).
[CrossRef]

J. J. Sakurai, Modern Quantum Mechanics (Addison- Wesley, Reading, Mass., 1994), pp. 255–256.

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Figures (3)

Fig. 1
Fig. 1

Schematic of the experiment for measurement of nonreciprocal polarization rotation. The polarization modulator and the birefringent polarizing prism are parts of the polarization-measurement system.

Fig. 2
Fig. 2

Dependence of the nonreciprocal component of the polarization azimuth rotation δϕ on the polarization azimuth ϕ0 of the incident light wave with respect to the crystal axes at different wavelengths in Bi12SiO20.

Fig. 3
Fig. 3

Dependence of the orientation offset η on the single-pass optical activity ϕOA at different wavelengths in Bi12SiO20.

Equations (5)

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

d 2 d z 2 E x , y + ω 2 c 2 ( ɛ E x , y + γ x y z , y x z d d z E y , x ) = 0.
[ A x ( z ) A y ( z ) ] = A 0 ( cos  ϕ 0 sin  ϕ 0 ) cosh μ z - A 0 ν s ± ν a μ ( sin  ϕ 0 cos  ϕ 0 ) sinh μ z .
ϕ = ( ϕ 0 , ± ϕ OA ) - Re { ν s / ν a sin ( ν a L ) × cos ( 2 ϕ 0 , ± ν a L ) } ,
δ ϕ = ϕ - ϕ 0 = - 2 c h ( η OA ) cos ( 2 ϕ 0 + ϕ OA ) × Re { ( ν s / ν a ) sin ( ν a z ) } ,
δ ϕ = - 2 ϕ TNOA ϕ OA cos { 2 [ ϕ 0 + ϕ OA / 2 ] } sin ( ϕ OA ) .

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