Abstract

An angular analog of the Doppler effect arising from the quantum of angular momentum carried by circularly polarized photons is presented and developed. Applications to rotational Raman scattering, fluorescence doublets, controlled frequency shifting of light, rotation-induced optical activity, and the measurement of rotational motion of small particles are discussed.

© 1981 Optical Society of America

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References

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  1. R. W. Wood, Physical Optics (Dover, New York, 1961), Chap. 9, p. 363.
  2. R. G. Newburgh and G. V. Borgiotti, "Short wire as a microwave analogue to molecular Raman scatterers," Appl. Opt. 14, 2727–2730 (1975).
  3. B. A. Garetz and S. Arnold, "Variable frequency shifting of circularly polarized laser radiation via a rotating half-wave plate," Opt. Commun. 31, 1–3 (1979).
  4. P. J. Allen, "A radiation torque experiment," Am. J. Phys. 34, 1185–1192 (1966).
  5. A. Sommerfeld, Optics (Academic, New York, 1954), Chap. 2, Sec. 15, pp. 79–82.
  6. C. Møller, The Theory of Relativity (Clarendon, Oxford, 1972), Sec. 2.11, p. 59.
  7. J. H. Poynting, "The wave motion of a revolving shaft, and a suggestion as to the angular momentum in a beam of circularly polarised light," Proc. R. Soc. London A82, 560–567 (1909).
  8. Ref. 5, Chap. 2, Sec. 16, pp. 84-86.
  9. M. Born and R. Oppenheimer, "Zur Quantentheorie der Molek-eln," Ann. Phys. 84, 457–484 (1927).
  10. R. A. Beth, "Mechanical detection and measurement of the angular momentum of light," Phys. Rev. 50, 115–125 (1936).

1979 (1)

B. A. Garetz and S. Arnold, "Variable frequency shifting of circularly polarized laser radiation via a rotating half-wave plate," Opt. Commun. 31, 1–3 (1979).

1975 (1)

1966 (1)

P. J. Allen, "A radiation torque experiment," Am. J. Phys. 34, 1185–1192 (1966).

1936 (1)

R. A. Beth, "Mechanical detection and measurement of the angular momentum of light," Phys. Rev. 50, 115–125 (1936).

1927 (1)

M. Born and R. Oppenheimer, "Zur Quantentheorie der Molek-eln," Ann. Phys. 84, 457–484 (1927).

1909 (1)

J. H. Poynting, "The wave motion of a revolving shaft, and a suggestion as to the angular momentum in a beam of circularly polarised light," Proc. R. Soc. London A82, 560–567 (1909).

Allen, P. J.

P. J. Allen, "A radiation torque experiment," Am. J. Phys. 34, 1185–1192 (1966).

Arnold, S.

B. A. Garetz and S. Arnold, "Variable frequency shifting of circularly polarized laser radiation via a rotating half-wave plate," Opt. Commun. 31, 1–3 (1979).

Beth, R. A.

R. A. Beth, "Mechanical detection and measurement of the angular momentum of light," Phys. Rev. 50, 115–125 (1936).

Borgiotti, G. V.

Born, M.

M. Born and R. Oppenheimer, "Zur Quantentheorie der Molek-eln," Ann. Phys. 84, 457–484 (1927).

Garetz, B. A.

B. A. Garetz and S. Arnold, "Variable frequency shifting of circularly polarized laser radiation via a rotating half-wave plate," Opt. Commun. 31, 1–3 (1979).

Møller, C.

C. Møller, The Theory of Relativity (Clarendon, Oxford, 1972), Sec. 2.11, p. 59.

Newburgh, R. G.

Oppenheimer, R.

M. Born and R. Oppenheimer, "Zur Quantentheorie der Molek-eln," Ann. Phys. 84, 457–484 (1927).

Poynting, J. H.

J. H. Poynting, "The wave motion of a revolving shaft, and a suggestion as to the angular momentum in a beam of circularly polarised light," Proc. R. Soc. London A82, 560–567 (1909).

Sommerfeld, A.

A. Sommerfeld, Optics (Academic, New York, 1954), Chap. 2, Sec. 15, pp. 79–82.

Wood, R. W.

R. W. Wood, Physical Optics (Dover, New York, 1961), Chap. 9, p. 363.

Am. J. Phys. (1)

P. J. Allen, "A radiation torque experiment," Am. J. Phys. 34, 1185–1192 (1966).

Ann. Phys. (1)

M. Born and R. Oppenheimer, "Zur Quantentheorie der Molek-eln," Ann. Phys. 84, 457–484 (1927).

Appl. Opt. (1)

Opt. Commun. (1)

B. A. Garetz and S. Arnold, "Variable frequency shifting of circularly polarized laser radiation via a rotating half-wave plate," Opt. Commun. 31, 1–3 (1979).

Phys. Rev. (1)

R. A. Beth, "Mechanical detection and measurement of the angular momentum of light," Phys. Rev. 50, 115–125 (1936).

Proc. R. Soc. London (1)

J. H. Poynting, "The wave motion of a revolving shaft, and a suggestion as to the angular momentum in a beam of circularly polarised light," Proc. R. Soc. London A82, 560–567 (1909).

Other (4)

Ref. 5, Chap. 2, Sec. 16, pp. 84-86.

A. Sommerfeld, Optics (Academic, New York, 1954), Chap. 2, Sec. 15, pp. 79–82.

C. Møller, The Theory of Relativity (Clarendon, Oxford, 1972), Sec. 2.11, p. 59.

R. W. Wood, Physical Optics (Dover, New York, 1961), Chap. 9, p. 363.

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